Class 9th Mathematics AP Board Solution
Exercise 9.1- Write the mark wise frequencies in the following frequency distribution table.…
- Write the mark wise frequencies in the following frequency distribution…
- The blood groups of 36 students of IX class are recorded as follows. Represent…
- The blood groups of 36 students of IX class are recorded as follows.A O A O A B…
- Three coins were tossed 30 times simultaneously. Each time the number of heads…
- Three coins were tossed 30 times simultaneously. Each time the number of heads…
- A TV channel organized a SMS(Short Message Service) poll on prohibition on…
- A TV channel organized a SMS(Short Message Service) poll on prohibition on…
- Represent the data in the adjacent bar graph as frequency distribution table.…
- Represent the data in the adjacent bar graph as frequency distribution table.…
- Identify the scale used on the axes of the adjacent graph. Write the frequency…
- Identify the scale used on the axes of the adjacent graph. Write the frequency…
- The marks of 30 students of a class, obtained in a test (out of 75), are given…
- The marks of 30 students of a class, obtained in a test (out of 75), are given…
- The electricity bills (in rupees) of 25 houses in a locality are given below.…
- The electricity bills (in rupees) of 25 houses in a locality are given below.…
- A company manufactures car batteries of a particular type. The life (in years)…
- A company manufactures car batteries of a particular type. The life (in years)…
Exercise 9.2- Weights of parcels in a transport office are given below. |c|c|c|c|c|c|c|…
- Number of families in a village in correspondence with the number of children…
- If the mean of the following frequency distribution is 7.2 find value of ‘K’.…
- Number of villages with respect to their population as per India census 2011 are…
- AFLATOUN social and financial educational program intiated savings program among…
- The heights of boys and girls of IX class of a school are given below. Compare…
- Centuries scored and number of cricketers in the world are given below. |…
- On the occasion of New year’s day a sweet stall prepared sweet packets. Number…
- The mean (average) weight of three students is 40 kg. One of the students Ranga…
- The donations given to an orphanage home by the students of different classes…
- There are four unknown numbers. The mean of the first two numbers is 4 and the…
- Write the mark wise frequencies in the following frequency distribution table.…
- Write the mark wise frequencies in the following frequency distribution…
- The blood groups of 36 students of IX class are recorded as follows. Represent…
- The blood groups of 36 students of IX class are recorded as follows.A O A O A B…
- Three coins were tossed 30 times simultaneously. Each time the number of heads…
- Three coins were tossed 30 times simultaneously. Each time the number of heads…
- A TV channel organized a SMS(Short Message Service) poll on prohibition on…
- A TV channel organized a SMS(Short Message Service) poll on prohibition on…
- Represent the data in the adjacent bar graph as frequency distribution table.…
- Represent the data in the adjacent bar graph as frequency distribution table.…
- Identify the scale used on the axes of the adjacent graph. Write the frequency…
- Identify the scale used on the axes of the adjacent graph. Write the frequency…
- The marks of 30 students of a class, obtained in a test (out of 75), are given…
- The marks of 30 students of a class, obtained in a test (out of 75), are given…
- The electricity bills (in rupees) of 25 houses in a locality are given below.…
- The electricity bills (in rupees) of 25 houses in a locality are given below.…
- A company manufactures car batteries of a particular type. The life (in years)…
- A company manufactures car batteries of a particular type. The life (in years)…
- Weights of parcels in a transport office are given below. |c|c|c|c|c|c|c|…
- Number of families in a village in correspondence with the number of children…
- If the mean of the following frequency distribution is 7.2 find value of ‘K’.…
- Number of villages with respect to their population as per India census 2011 are…
- AFLATOUN social and financial educational program intiated savings program among…
- The heights of boys and girls of IX class of a school are given below. Compare…
- Centuries scored and number of cricketers in the world are given below. |…
- On the occasion of New year’s day a sweet stall prepared sweet packets. Number…
- The mean (average) weight of three students is 40 kg. One of the students Ranga…
- The donations given to an orphanage home by the students of different classes…
- There are four unknown numbers. The mean of the first two numbers is 4 and the…
Exercise 9.1
Question 1.Write the mark wise frequencies in the following frequency distribution table.
![](data:image/png;base64,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)
Answer:The mark wise frequency representation indicates the upper range of the marks and their corresponding frequencies. Let’s form a frequency table showing mark wise frequencies.
![](data:image/png;base64,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)
We can also represent marks and their corresponding frequencies on a graph, which will show relationship between them.
![](data:image/png;base64,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)
Question 2.Write the mark wise frequencies in the following frequency distribution table.
![](data:image/png;base64,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)
Answer:The mark wise frequency representation indicates the upper range of the marks and their corresponding frequencies. Let’s form a frequency table showing mark wise frequencies.
![](data:image/png;base64,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)
We can also represent marks and their corresponding frequencies on a graph, which will show relationship between them.
![](data:image/png;base64,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)
Question 3.The blood groups of 36 students of IX class are recorded as follows.
![](data:image/png;base64,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)
Represent the data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?
Answer:Given the blood groups of 36 students can be represented in the form of frequency distribution table.
Just count the occurrence of blood groups in the data and formulate a table.
Count of blood group:
A = 10
B = 9
O = 15
AB = 2
![](data:image/png;base64,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)
Representing the same on a graph to show the relationship between blood group and number of students (frequency),
![](data:image/png;base64,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)
From the frequency table as well as from the graph, notice that:
Most common blood group = O [As O has the greatest no. of occurrence, i.e., frequency = 15]
Rarest blood group = AB [As AB has the least no. of occurrence, i.e., frequency = 2]
Question 4.The blood groups of 36 students of IX class are recorded as follows.
A O A O A B O A B A B O
B O B O O A B O B AB O A
O O O A AB O A B O A O B
Represent the data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?
Answer:Given the blood groups of 36 students can be represented in the form of frequency distribution table.
Just count the occurrence of blood groups in the data and formulate a table.
Count of blood group:
A = 10
B = 9
O = 15
AB = 2
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)
Representing the same on a graph to show the relationship between blood group and number of students (frequency),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcsAAAEQCAIAAABQmcj8AAAAAXNSR0IArs4c6QAALWxJREFUeF7tnQtYVVX6xhOvoKKAiuJdQIwUNdFSSTMLm4yhrAm1RLKZpiS1KLuTmv/RaSwyG61puqCYSlMaOTbB2EVFK8UsJRQBL6AoKuAV8f5/YR13Z0Q5+xz23mdf3v308ByP6/J9v7V7XazL99W7dOnSdXxIgARIgARUIOChQptskgRIgARIoIoAFZbvAQmQAAmoRYAKqxZZtksCJEACVFi+AyRAAiSgFgEqrFpk2S4JkAAJUGH5DpAACZCAWgTqqXFaKzExsaysbP78+ZLVY8eOFZ8nTpwYERGhljdslwRIgAT0RED5OWx8fHx4eLi9j/gmJiZmSfVDedXT6NMWEiABdQkor7CYuoaGhkpWZ2Zm+vr6RkdHq+sHWycBEiAB/RFQXmGv8LG0tLSgoACrBOLRHwFaRAIkQAJqEVBlHTYvL2/u3LliHTYtLQ0Km5CQgM9JSUmYz8bFxdXuDUQZj1oes10SIAESUI2AX/UjNa+6wmKVID09febMmVeorWoOsmESIAES0AsB1VcJ/P39MYcV7mZlZQUGBurFddpBAiRAAioTUH4Oa7/YiiME2ONKTk7OyMiAIzhjIJYL+JAACZCAFQgor7BWoEYfSYAESEAOAdVXCeQYwTIkQAIkYEoCVFhTDiudIgES0AUBKqwuhoFGkAAJmJIAFdaUw0qnSIAEdEGACquLYaARJEACpiRAhTXlsNIpEiABXRCgwupiGGiEZQl4eHisWrVKch+f8Y1laZjPcY6l+caUHhmJwMqVK6OiooTI4ic+4xsjOUBbayXAGwd8QUjAzQSEsHaPeGRn5geQ15EjR7rZIHavHAHOYZVjyZZIwHkCxaWVX+/p1PXmh3PXvY+fbYMHO98Ga+iXABVWv2NDy0xP4Iecsslvbf129Ve7vv+o28AJ+Plq0sem99pSDtafPn26pRymsySgEwKp3+5/IzV/f27mz58/1+ee19qH/d7bv8eajxMuNQscNihMJ0bSjDoS4DpsHQGyOgk4TeDSpeteT83L2HQINVcn3TLkwaQ3X4nL2XNiYXrhkV0bILgVlec8G9d3ul1W0B8BKqz+xoQWmZrA3oMVc1LzcgtPCi/7dW/5zOjgVi0a4XPc7M37j1Tiwx9ubf9oVBdTY7CKc1yHtcpI0089EFj7y5FJ87ZK8nrvLQF//fMNQl7xxI7oJD7867v9BcWn9GAwbagjASpsHQGyOgnIJbA4o2jmotzTZy6ICk/eHzjxnq72lW+7sXX/Hj7im5T0IrntspyOCVBhdTw4NM0sBM6cu/iXlFwsswqHAlo1eTO+18iBbWv6Fzuio/hyfXbpuq3MB2r4N0AVhU1MTIyPj7dng+yzyC6DXLOGB0YHSMBJAnn7Tk56a+t3Px8R9Qbe4Pv25N49u3lftZkenZpHD25nm8Zm2BTZyQ5ZXEcElFdYaCvycV3hIm6q1PxSRxhoCgmoQ2D15sOQ190HbIuqMbd1eHXC9d5NG9TSG6axTZtUHSTYfaACJ7rUsYutakRAeYWdP39+aGiovflI6I0/MsusRkPKbnRD4MMv9762ZOeFi5dgUb161z07JviPIzs7tM67aUNpyyslvbD0+FmHVVhAtwSUV9iari5duhTXrnWLgIaRgOIETp4+P+2j7Uu/3ida7tLW6+0pve8IbyOzo1FDAoI7NENhLOAuurx6K7Mui+mKgOoKi1Te/fv3Dw4O1pXbNIYE1CPw657jWBnYkF0muhjau9XbU8JCOlYppvxH2vL68oeSbbuOy6/IkroioMqNA+xrzZ07F8sFcBW7XgUFBZLPWCuYOXNm7QhKqx9dYaIxJCCTwPrtlUvWnpAK39XPa2R4U5l1ryj2werjPxWcwZch7RtOvrula42wlsYE/KofqVPVFVbqKS0tDVKbkJCgscPsjgQ0I/DuF7s/W1MsumvcyGNqTPDQPq1c7r2wpOKRv20R1XHva0R/uYsMLvfIiooTUH6VAKeypk2bVl5ejg9QVcUtZoMkoEMCZcfPvvBejiSv3Ts2w5GsusgrfOzk7zVmeAfhLLa8xI4ZH2MRUGUOaywEtJYE6khgS96x15flHTpa9Rs9ntvD20yNCfLwqFfHZlH9/IVLsbM2H65ueeztHR7+neOjCHXvlC0oSED5OayCxrEpEtA/gbTMA8++my3J6yMjOz83JlgReYXvDerXk7a8lqzeV3TotP6B0EJ7AlRYvg8k4DqBeZ8V/H3FLlG/uVeDGROuH32b7fd61xv935p3DvDvHdRCfMeTW0pR1awdKqxmqNmRqQgcLKt8ZkH2yg0HhVc9u3rjSNagG3zVcDI20hasAFdvf8wpV6MLtqkSASqsSmDZrJkJ/Li9HCdefyk4Jpy862b/N5/o1b6Vp0o+hwW2+N1N/rZpLIMVqERZnWapsOpwZavmJYDgrS+/n3P05Dnh4uPRXZ/6Q5Da7uIebcMGVf+37iw6uWKd7UCY2p2y/boToMLWnSFbsBABZH95b+Ue4bCfd6PZj96AG64a+I8o3dKW16L0ohMV5zXolF3UnQAVtu4M2YIlCBSWnJ48b2v6xqrkWnj6BrfEwmt4SEvNnMceWue2XugOQQ+45aUZ9jp2RIWtI0BWtwSBzK2lk+b9sn2v7TrsPRHt/vbYDa1bNtbY+dhIW5qZzzMPSKloNLaB3TlFgArrFC4WtiKBj/9bNGPhjopKW/aXKfcFxt/bzS0ghvT2QwBv0fUibnm5ZQyc7JQK6yQwFrcSgXPnL85avDP5K1uugXZ+Td6Y2OvuQVfJ/qIZFSl07Mbt5d9uOaxZv+zINQJUWNe4sZb5CeTvP4UjWZKK3RTq8/bksLDAq2d/0QxHUPum9w217a1hy0uzftmRawSosK5xYy2TE/jmJ2R/+UVKqf3AsPb/90hoi2YN9eA2prEtqy3Zd/g0VjD0YBJtuBYBKizfDRK4ksBH/9k7++OdiLoi/gKRA/90dxf9YPJqXH/cCNuW16KMooNltogz+rGQlkgEqLB8GUjgNwKnKi/MSN6BGCviq87+yP4SpsPArL8f1Da0c3NYePHipRRueen4FabC6nhwaJq2BHL2nsDKQOY2W36NW8L85k0JQ3ptba2Q25s0jc3YdOinvKNyq7GctgSosNryZm96JfDVxpIp87ZK4QEfuqPjK+N74Pdxvdp7HS473N6vtTAvhVteeh0nKqxeR4Z2aUjgHyv3vJGaLzps1MDjxYdCxt9pW+jU0Aqnu5Kmsdm7j//7e1uUL6dbYQU1CVBh1aTLtnVPoPzEuZfez/n0u/3CUpyFwsLrsL6uJ9fS0uMAvybS8VhMYyvPXtSyd/Ylh4AqWWSQX7asrEzkmsWTlJSUlZWFD5GRkXFxcXLMYhkS0IDAL/nH5qTmlVzeix9+Y2scG0BaAQ26VrCL8bM3Fx+pRIMP3Nr+T1FdFGyZTdWdgPJz2Pj4+PDwcMkyZPbG5yVLlsyYMSMjI0P8kQ8JuJ3AF+sPPPNOtiSvSIH1/IPdDSevwCgFK/jku/27ik+5HSwNsCegvMJi6hoaGir1ERwcLDJ444OPjw/pk4AeCPx9+a63l9uyvzTzbDD94R7IM6gHw1ywYXi/1lKIr5QMXkBwAaGKVZRX2GsZm5mZKXRWRW/YNAk4IlBSfmbqO9lp6w+IgqFdmmPhdXBPP0f1dP330mosjppJp810bbFljNNOYZcuXTpmzBjLgKWjeiSwaUdV9pef823ZX5Ca5a1JYR1aq5X9RTME13du/vvB7UR3PLmlGXY5Hamy04XF1rlz50o7XbADe19YnI2OjpZjU2n1I6cky5CAfAJfbz29/PuTUvlRA5sNDzO8tkrunKy8OG1pWeXZqpu+997c9PbeVbG6+WhPwK/6kfrVQmEhr4GBgTxFoP1gs0eJQNIn+f/5sUT80ad5o6mjg/r3MNuuwGdrit/9YjccbNLIY+EL/Xy9G/EFcDsB5RV27NixklcxMTH4nJqaKn3DA1tuH3KrGYAAVHOW5eXssaUn6BPUAkey/H20Tk+gDfbHk35G0EX0NXJg2yfvD9SmU/ZSCwHlFZa4SUA/BNZnl76+LB+JrYRJ0YPbPTHKPekJtGHy/a9lr3y4XfSFBOM9u7o5mq02Xuu5F+12uvRMgbaZkgBCZE3/aIckr5NGdTO3vGIQkWNmSG/bhTTG59bDW02F1cMo0AaFCSC0618/3okwr6Jdf9/Grz/eU9ptV7gznTUnJf3ekncUYbd0Zp3lzKHCWm7ITe8w7jUhCOHXP9lyWA24HtlfevcOamF6x4WDiGmLvN/iM7IlIoCsRRzXp5tUWH2OC61ykcC3W47gxKvY7cFz/63t//LHUJ/musj+4qJLzlfDNLZVi6qDBLgTjCQIzjfAGooRoMIqhpINuZ3Awq8KZy3OPXveFmLq6ZigP1syEkrDBh7SLS8k8sJpCrcPjWUNoMJaduhN5XjFmQuvLtyx+HJawI5tPN+aHHbnAH9TOemMM7iuFhZoWxjhlpcz5BQuS4VVGCib057AjsITk9/aum6r7R5gRC+/t6f0FmmsrPxIW15ISL5xe7mVUbjRdyqsG+GzawUIpG86hIXXvSUVoi2EyJoW16NpE/1mf1HAZ3lN9A5scedNtlk8trzkVWIphQnIUtjDhw9v2bJF9IwALngUtoLNkYBLBP757z2vL7NFHEZo1xce7I4wry61ZM5KsZEdG1YHFM8tPPl5pi2cmDld1atXshQ2Nzd3+fLlcCEtLQ3ZCnJycpKTk/XqEe2yBIFjJ8+9/EHOJ9/asr8EBiD7S+/bbrRlBrQEAhlOtm7ZWMrltSi98MTlu20yqrKIMgRkKazU1dq1ax977LERI0YUFBQo0z9bIQHnCWwtOD5p3tYfc2xri8P6tkaMV6TYcr4l89cYM7wDTsjCzxMV5xnYUPvxlqWwISEh+/fvf/rpp728vBhCW/tBYo/2BP694eDTC7YdKK3KTIUn7s5OLz7UHeeTSOlaBMaN6Cj+asW64p1Fv8VvJDENCNSfPn26w26aNm2KxDAdO3YcOXIkPp85c6Zhw4Y9evRwWJEFSEBZAvNX7FqYbtu08WpS/8UHQ+4e1FbZLszXWpe2XriCIU7Flh47y7UULYdY1r/8iKiNtdeIiIjWravWuUpKSuxDzGppLvuyLIHDR888++6v0nYNovrjLmxEmLGzv2g2muMibdPYH7eXf7fliGb9siNZCgtJFem4pSc9PZ3sSEAzAlm5R3EkC6FMRI8jBrSZNzmsk795MhSoTTK4Q7P7hgSIXnhyS23a9u07iA+LQ1o4RVBRUVFeXt6+fXtRE2uy/fv3f/zxx7U0lH1ZlsDytcXvpFWF7hfPo1Fd/nCr7VW0LBMXHD9VeWH8rM3HTp1D3Yd/12ns7bZZrQtNsYp8Ag4UFidhcVSrqKgIc9h7771XahcrBvL7YEkScJnAm//K//IHW/aXls0aIj3BTdebLfuLy3CcrfjF+gMih3l9j3oLX+xn1kQPzmJRtbysHAfQ2X379vXt21dVU9g4CdgT2H/kNNITZO8+Lr7EDaVnRge19W1CSnUhMHne1u17qxLqjOjfBv9c1aUp1pVDQJbCoiFxrau4uFg06uPjU0viWKQ+LCsrk3LN4npCRkYGaiHdbEJCghyzWMbiBDb8WobLWjjCKThEDWo7+T5mnVLgpcjaUf7CP3NEQ397rGffYKuEzVWAnUtNyNrpgrw+99xz2N3CRQPxSFJbs9P4+HgoqfQ9ziFAXpdUP6iYmZnpkp1uq+Th4bFq1Sqpe3zGN26zxhodL/tm37QPt0vy+sS93SivSo18eA+f4ZdvvqUwWIFSWK/djiyxwFIsJq1vvPHGzMtPLdtcmLri8KzU4/r16yXBxf5Yfn6++k4p2cPKlSujoqKEyOInPuMbJTtgW3YEEJD/taV5H6yyZX9p07Ix5lnREe0ISUECUujYbbuOr/rhoIIts6maBGQpLO50VVZWYibrGkFfX19RETKN1QPXGnFXLVyyECIbcssf746KGjXx7zsrQlK/2b92aylOcWN/1l2Gma/f3QcqcBd2dZYttVR4iA/uwvLXWMUHOqBVE+l4LO7RnjlnC1iueEdsEARkrcPiN/13330XpXv16iVpZS3rsCg/d+5csQ4rYsTExcXhJwLHYKHA4VJsafWjq+G5e8Jrees/7DZwAv67wrDmnh6tvOu39q7fyrvqg/js7SXrny5d+eheY34qOJPy3Ymz521JpW4L87xvYDP3mmTu3qctLTtyvGp+cEcfr3tuYkgHxUYbt7HsL2TJVVj8sm9vQu07XVcoLOatQlXt1VYxh9RvSCwOdL354V3ff9TnntdadRvksE/PxvXb+TUJ8GtS9bNV9c/qzw4rWrMAwj6l2KWTeuqBoLsuBza1JhANvF69+dBrS2yBH997pm/XdlXRYfgoTkCWwjrbq73CYmtrwYIF2OZCI9gEGzNmjLHO0kprr3feedfiZZ8/PO6+l15bGNA9ovhIJYKPFJdWnrucFcohJY969a4QXCG+jRtad8JbefYCjmSt+cV2j7NDa08cybqhi7dDmCxQdwLP/+PXzTuPop1bwvxeGc8wI3UnepUW5CosRBPTWDF1rf147NixY6V+YmJiUD4pKUlcuo2MjBTLBQZ6cHIA67BYjRU2C8G9ePG3patDR89USe1lwcXnA0cqnQrEibSgtkluq8vTXr8m3k3Nnx41t+gkjmTtOWhLTzCop+/U0cHNPBsY6PUwtKk5e05MeXurcGH6wz0G92SQB+XHU67CYvoZEBCA/S6cJsC0FCe38EF5c8zS4vFT5zC9FZNcCK74fOTYWfn+Nfds0M5ueUHMdrG3Lr8FnZf8b9ahOcvyLtnWXa9DGNMJdzE9gdaDNu+zgpUbqo4TIIT5u0/30bp7C/QnS2GFpCLwthBWKqxrLwY2ba+Y7YqZ70VJZhy1iyioNdd28U396kwhBnreX7U39Zt9wmDc4MTlotv7MT2BGwbw6MlzsbM2nz5TteXFgA9qDIAshcVtrsWLFyMugVBYHAnIzs5+6aWX1DDIgm3aprr/u9QgXnqZj79vY5vy+nli5is+6zMb4PFT519Pzfv+V9uhva7tmk4dHYTITzI9ZTHFCXy6Zv8/vtiDZj0b1UewAp/m5l+eUpxhLQ3KUljUR4IDHGvFVa6ePXtu2rRp9OjRWFTV0lCr9VV2/Oxvynt5qQEzDvkcECelSmrt1nYhu77ejeS3oHjJ7F3H56TmYeYuWr61TyvMXq280ac4YdcafCzp54L9p1D37oFtp9zP28muUbx6LbkKi92t1atX79q1CzqLU7HGOg+gJDC3toULDnZru6fF55KyM/KNcuMxslXfH5z76W/p3caP6PTQ5bDQ8u1nSTUIbMgum/bRdtHy3Em9eJZDQchyFVbBLtmUsgQuXLj0266a3VKDro6RLfh8N5JECceh8s/EBA3p3UpZDmytLgReXbhj3daqaz43dm/52p9vqEtTrGtPoDaFFSe0rsqr9hsHRKwHAjo5RoYTFDiSJc5d4gnp1GxqTHDntjzfrod35DcbcGbuT3O2iD8/Oyb4jvA2+rLPsNbIVdht27ZhfUCkOcA6rOEuDhh2gBQ2XINjZPYniH/aefSpV5PXfpxwe8I6eBKJmKQxwfUMdvBB4SHQbXPSAQ8E4V30Yj8OkyIjJWuVwP6OFnqVGV5AEfvYiAYElD1GVrwz8y/Pjf8o5bNmHW76v7kf//z5c+Kq8R/v7hIzjNlfNBhPF7s4e+5i7OzNSEaL+g/d0XH8nZ1cbIjV7AjIUlgcgF2xYgWiF4qKiPe6bt063jgw/Yvk8jGyI7s2QFi7DbRFcgjsNRR3YW8OtYVYMz034zqIhD1I2yPsT37+xvatmWuyroMpS2HRCU5reXl5BQYGnj59GqsEd9xxBxYK6to56xuQgMxjZLu+/xD/IRRZ9INP4kgWzo0Z0FcrmpwwfxvixsLz225s/cKD3a2IQFGf5SqsOK114MABT09P6CwPwyo6CoZv7IpjZOvXZHy24Inugycg5KN9VAfD+2kBB37OPzb1nWzh6Kw/hfbvwbyTdRp1uQpbp05Y2UoEpGhkCJdj/9lKDIzt6+up+ekbq/L79ujUHEHQje2Mu62XpbA1j23xtJa7B06//TuMRqZf02lZNQGc8xs/a/P5C1VReZAkjVl86vJeuBKZFOuw9kG869I965qPAEI7SsEe4R0+2wd7NJ+/5vMIIdzGRdoOEizKKDx52pbx13yeauCRrDnsFXbwtJYGA8MuSMC9BB557afCQ6dhw6ghAY9Hd3WvMcbt3ZU5LLwtLy83rs+0nARIwCGBcSNs09jla4t37jvpsDwLXJWArDksohcuX75cqo9shkhVwOMEfKVIwNwEEj/Y/kNOVZxJnGWe+cj15nZWJe9kKSyOauXm5koW+Pv7BwcHq2QQmyUBEtAJAUxd49/8RRjz8riQoX0YrMfpkZGrsPv27evbt69oHkcL8FO+yEp5unACQaT45kMCJGAIAu+k7cYqAUzt5O/5wbM3GsJmXRkpax0WE1j7VYLdu3d/8sknMt3AjVusKiDXLB7EjsEumcyKLEYCJOB2AuMiO3p7VeWmLCw5vfRrW+Ift1tlIAMcKCymq8nJyRs3biwrK8MH8SAogXwPsaRgX5jHvOSjY0kScDsBpP6NvbzltSi9EEdl3W6SsQyQNYe9wiXcmn300Udl+onFhP79+yPFN57w8HAmR5DJjcVIQCcEcOMAl7tgDO4gpKQX6cQqo5ghax0WM9mcnJzo6GjXvEpMTMQKLOpmZWVhrcBhI6XVj8NiLEACJKANgV+Lzi748pjoa0pUy+4BzJZ4TfD4Nd3+N3XnFBaHCt577z20jTls69ay0i/bX0/ACgNWGxISErR5LdgLCZCAUgRmf7zzm58Oo7Wwbt5vxPdSqlnTtyNrlaCkpATTT7BAIA/E1sKGVUpKikw0uJsgXU+AvKKuzIosRgIkoB8CsZfTVm7ddRxhZPVjmM4tkaWw8KGiogITWEQkGDduHHLNyr/ThbsJEFaxDiuuKuicCM0jARKoSQDRuJH4QHyfklGIhAikJIeALIUV21NTpkzp2bOnzMUB+75xBlac1uJhWDlDwjIkoE8COFSAFF6wDdktF2Vwy0vWKMlah72iJUxm7S8gyOqHhUiABIxP4L9Zh/62tOrCEZ5/Tu3bhTmDHY2prDnsFY1gGivd73LUPv+eBEjAPASQ5fvG7i2FPzgeax7HVPPEFYVVzRg2TAIkoHcC0pbXuq2lG7Kr4sLwqYUAFZavBwmQgBMEbujqfffAtrZpbAansQ7Q1aawCFqIFLNoAB/eeecdJwaBRUmABMxLAFteTRrVh38F+099uqYqLgyfaxGoP3369Gv93cGDB9esWYMDsEVFRdnZ2U2bNi28/ODOVbt27YiVBEjAggQ8G9dv2KDe5p1H4fv2PSd+d5O/EFw+NQk4OEuQkZGBOC84DIsDsO3bt5fqBwQEPP744wRKAiRgWQJ/fuPnXcWn4H7UoLaT7wu0LIfaHZd1WgurBD/88AMlle8QCZCARGB9dun0j3aIP741KSy0S1V0GD5XEJClsKIO4r/g+izWCnhUi68RCZAACMxI3pG5rSpIU7+Qln999AYycXqVQKqAoC1YMUDcQlyBbdKkyfPPP+/C5S4OAAmQgJkI7D5Q8ejrW4RHz43tfns/WdGgzETAoS+yTmth9rp27dqpU6fOnDkTN1+xIPvpp586bJoFSIAEzE2gazuvB4bZtmd4AeGqYy1LYbE4AFWVFgcGDBhQXMwjGub+f4fekYAsAji55evdCEUPlFZSZGsik6WwyASzf/9+hCMQ9fPz87FQIAs/C5EACZiaQOOGHrEjpJhbRcVHKk3trtPOyd3pwo0DhC4UB7agtpMmTeJ+l9OwWYEETErgqfnbsncdh3PD+7V+fmx3k3rpiltyFRZt48zWjh07vLy8Bg0axG0uV2CzDgmYlMCWvGPPvpstnJv9aGh4SFXWKD4g4ITCkhcJkAAJXIvAnGV5GZsO4W+v79x83uQwghIEZK3DEhYJkAAJ1E4AW171PeqhzPa9J75Yf4C4qLB8B0iABBQj4O/TeNzlLa9F6UWnKi8o1rSRG9JoDivydOHJzMw0Mi7aTgIkcE0CD97esWMbT/z1sVPnUhifu5qTK+uwUMn09HTcPpD5rsXHx0dGRkZHR8ssz2IkQAIGJfDtliOzFucK4xc81Tu4QzODOqKU2a7MYUNCQkaNGiXTAsgxMnhTXmXiYjESMDSBYX1b3XS97SBBCrMlujaHdeoNSEtLS01Nlaog46xT1VmYBEjAWARyi04+MfcXYfPLsSFDe7cylv3KWit3lQChCVauXIkosbjN1b9/f/zWL9MOKGxBQUFCQgLKJyUlYT4bFxdXe12E98Yjs30WIwES0BuBf60/+V32aVjVzqf+yw/46s08Ve3xq36kLuQqLNZSEXV76NCh0D6I5ujRo2WKrP2irb3aquokGycBEnAjgROnz4+ftflExXnYMOGuzmOGd3CjMe7tWtY6LFQSU9eXXnopIiICK6qQV9yglWk3YhpgDisKZ2VlIf6hzIosRgIkYFACzT0bxEZ2EsZjNfbw0TMGdaTuZstS2JrdVFbKje8QHByM2a44quXj48Mtr7qPGVsgAf0TuOeWdiEdqw4SnDt/0cpbXk6sEmD5NSgoCMhWrFjRq1cvh8up+n8JaCEJkIB6BDZuL3/p/RzR/usTe/YObKFeX7ptWa7CIuzLl19+id/3kXoWUkt51e2I0jAS0A8BnI3FCVnYA3mFyOrHMM0skauwmhnEjkiABExDYN/h0w//9SfhTsIDQcj7bRrXZDriQGERdTs313ZDw75F5kOUyZfFSMDiBJK/Kvz4v0WA0Lpl44Uv3NiwgYt7PwbF6EBhsTiwfPnyK3zDWgGOBMi/NWtQNDSbBEig7gQuXrwUO2tzSXnVcYLRwzs8clfnurdpoBacWyVAulmcacWtAdyaZY4DAw0zTSUBNxJA3FhEjxUGvP9s387+Xm40RuOu5SqsmMwilTeOW8m8a6CxJ+yOBEhAtwSQAQF5EGDekN6tEmNDdGun4oY5VlgsxaakpGRnZw8ZMoRHCBQfADZIAlYgkL37+FN/3yY8fXXC9QNvsMpVWgcKi3AEs2fP7tmzZ1RUFHJ6S68CbmrhKoEV3gz6SAIkoAiBuZ8WrPr+IJoKat/0nYQ+irSp/0Yc73TNmTOnphvc6dL/0NJCEtAVgbLjZ2Nnbz5z9iKseuz3Xe8bGqAr81QyxvEqgUods1kSIAGrEfjk2/3//PceeO3VpP6iF/q1aNbQ9ASsdTbN9MNJB0lAzwQeGNa+a7umsLCi8sIia8TnpsLq+YWkbSRgNgKxl7MlIh8tstKazb0a/lBhTT/EdJAEdEQgopff4F62ANWLLJAtkQqro5ePppCAFQjERnYUbmblHv1682Fzu0yFNff40jsS0B2BbgFN/3Bre2HWooxC3dmnqEFUWEVxsjESIAEZBGJHdPJt3ggFi49Umjs+NxVWxuvAIiRAAooSaNLIY9zlLS+sxhaXys2ZoqgVWjSmkcLibhiyyCDXrBY+sQ8SIAHdE7h7YNueXb2FmSnm3fLSSGGRCTw8PFz3g04DSYAEtCMgTWNXbz6MXS/tOtawJy0UFqlq4RGzzGo4rOyKBAxA4MbglpHhbcw9jdVCYZcuXYrAMQYYcJpIAiSgLYFxIzp51KuHPnP2nvhiQ1VcGJM9qitscnIyMicyEJfJ3hu6QwKKEGjr21i65YXV2IozFxRpVj+NqB75JTExEVlnJIflBOUqrX70w4iWkAAJqEpgxrKyQ8eqtHV4mOeogc1U7Uvtxv2qH6kX1RVW6gnpZyC1CQkJanvI9kmABIxF4Nsth2ct3ilsRuhYBJA1lv21WKv6KoFpSNEREiABlQgM69t6wPU+onGTBSvQbg6r0tiwWRIgARMQyC08+cRbvwhHEmN7DOn92y/ahvaOc1hDDx+NJwGTEAjp1OyeiHa2aayJghVQYU3ygtINEjA6AQQraObZAF7sPVix7Jt9RndH2E+FNcc40gsSMDyB5l4N7E5uFR05dtbwLlFhTTCEdIEETEPg3lsCunesOq119vxFc2x5cQ5rmpeTjpCAGQjERnYSbvznx5KtBceM7hIV1ugjSPtJwFQEbgr1ubVPK+GSCbIlUmFN9XbSGRIwAQFseQkvfsk/9tXGEkN7RIU19PDReBIwIYGObTzH3t7BNo1NLzp/4ZJxnaTCGnfsaDkJmJYAprFtfBrDvcNHzxh6y4sKa9p3lI6RgHEJ1PeoJ215Lf16X2FJhUF9ocIadOBoNgmYnMCIAW36BLWwrRVkFBnUWyqsQQeOZpOA+QlIW15rfj7yQ06ZER2mwhpx1GgzCViCQK9u3nfd7C9teRnRZyqsEUeNNpOAVQhgGtuoYZVM5e07uXxtseHcpsIabshoMAlYiICfdyNprQCHCo6fOmcs56mwxhovWksCliMQM6x9l7ZecPtU5YVF6Qbb8qLCWu59pcMkYDgC0jQ2bf2BHYUnDGQ/FdZAg0VTScCiBG4J8xvU09eIW15aKGxSUtLY6geZvS36gtBtEiCBuhGQprGbdpR/89PhujWmXW3VFTYvLw/eLFmyZMaMGRkZGeKPfEiABEjAKQKBAU3vv7X95WlsoVN13VhYdYUNDg4WGbzxwcfHlk7SjQ6zaxIgAYMSiI3suDrpliO7Nuw/Urm4+pbXqlWrPDxUF7G64NLOuMzMTKGzdTGXdUmABCxLwLNx/VfmLPr58+cgsosyClOWrYiKilq5cqWegWiXzTs+Pn7MmDERERF6xkHbSIAEdE4g+rH5X/xjUreBD+/+4SPI68iRI/VssEYKm5iYGB4eHh0dLYdFafUjpyTLkAAJWI3Ajn1nn3r5zV3ffxgSMeGLD57Tm/t+1Y9klRYKC3kNDAyMi4vTGwvaQwIkYDgCWHvF4kDILY/krvuAc9jr0tLSUlNTpVGMjIyk1BrunabBJKATAkJehbDaf9aJeTXN0GIOq1vnaRgJkICxCODkgP28VYjsxYsXdesFFVa3Q0PDSIAEDE9Au9NahkdFB0iABEjASQJUWCeBsTgJkAAJyCZAhZWNigVJgARIwEkCVFgngbE4CZAACcgmQIWVjYoFSYAESMBJAlRYJ4GxOAmQAAnIJkCFlY2KBUmABEjASQJUWCeBsTgJkAAJyCZAhZWNigVJgARIwEkCVFgngbE4CZAACcgmQIWVjYoFSYAESMBJAlRYJ4GxOAmQAAnIJkCFlY2KBUmABEjASQJUWCeBsTgJkAAJyCZAhZWNigVJgARIwEkCVFgngbE4CZAACcgmQIWVjYoFSYAESMBJAlrkOEhOTs7IyIBhSDebkJDgpIUsTgIkQAJGJaD6HDYvLw/yuqT6KSgoyMzMNCoq2k0CJEACThJQXWHXr1+Pqauwqn///vn5+U5ayOIkQAIkYFQCqisswPj6+go8Pj4+ZWVlRkVFu0mABEjASQKqr8NiERYmxcXF4WdaWhoWChwuxZZWP046wuIkQAIk4H4CftWPZIcWCot5q1BVe7V1PwlaQAIkQAIqE1B9lSAoKCgrK0t4sWnTJvxRZY/YPAmQAAnohYDqc1g4mpSUJEQ2MjJSLBfwIQESIAErENBCYa3AkT6SAAmQQE0Cqq8SEDoJkAAJWJYAFdayQ0/HSYAEVCdAhVUdMTsgARKwLAEqrGWHno6TAAmoToAKqzpidkACJGBZAlRYyw49HScBElCdAE9ryUUcHx8fGBjo8Mqv3ObMWw7R1KZNmyb8QySK+fPnm9dXZTzDbfLU1FTRFs+M18IUkfkWLFgwceLEiIgIUWzs2LFSeUTvU2Y8FG2Fc1hZODG0kFfpcpqsOhYuBGEV8SoR9AfyYWESjl0X8ipw4UGoTxK7FrWNGzciUB9+2hcQ3PC9uJSvt4cKK2tEMKgDBgyAyDK+rSxedoXso2A4W9cK5fHPdkxMjOQpPvMf8muNO+JGRUVF4edVC+DfdR2+MFRYWYOClx6/mNT891NWZesVKi8vx69veBD0R/qFznoYZHkMRKGhoVJRfGaEz6uCw9QeU5zg4GD8YmQ/0RFvGv4PjY6OlkVc20JUWMe8MZwiiDiGkPMLx7yql1/F726IuZ6YmCinCsuQQO0EMHXF75Eoc8VER7xpmPtjp0SHDKmwjgcFSwQQVvFPJUpzmcwxssslBg8ezBlZ7bgwIyspKZHK5OTkYKYmn7B1SuL/QWxz4f9BLFvXnOhg9oPfnHRIgwrreFAwnNJGBP6pvNYykOOGrFcCOYSkDBfW816Wx9DTpUuXSkUhH2KmxseeAKY1mLpK/xvW3BFBAa7DGvKdEas/kulYJuNCgcOBlNZhsTM+c+ZMh+WtXADxPLGWIn5DwoN/wrlyXfN9wP909v8b4rN0okBww79MTz75pA5fJJ6H1eGg0CQSIAGTEOAqgUkGkm6QAAnokAAVVoeDQpNIgARMQoAKa5KBpBskQAI6JECF1eGg0CQSIAGTEKDCmmQg6QYJkIAOCVBhdTgoNIkESMAkBKiwJhlIukECJKBDAlRYHQ4KTSIBEjAJASqsSQaSbpAACeiQABVWh4NCk0iABExCgAprkoGkGyRAAjokQIXV4aDQpCsJIPdXXaJ/1rE6x4MEXCZAhXUZHSuqQgDxzqVAU/gAcVSlGzZKApoQoMJqgpmdOENASpGAxKsrV650pirLkoC+CFBh9TUetMaeAPIj1AzgjYi90iRXmuHaz3ylJE5SyavKdFJSktSOWIJAwhvxJX7ijzU7QndS+mj7lQdUR6JT0RpTYPAdtidAheX7oDsCUgBvxF1GHhp7+6CeUu5rBKueNm0a/hZih/wiM2bMQAz8iRMn4jO+wYOS4suaHqId5KoQMfMxZZaCN6NrfJOQkHDVjq5FSuQvEb2jU90BpUHuI0CFdR979nwNAtIqAQRLaKj05OfnY+lA/BGpmVASSorcVkgxgiyk+BIJAhAAH5mvRMIr8SVSQNcC2z6/04gRI0TJq3ZUSyNIVSB6h0lM+c5XWyJAheXLoF8CIp+KGptdaFmaKUOyhRDzIQHFCVBhFUfKBhUjICaD9vIXFBSE3F+iA7Hiib8VydOEEItf/yGg+BIfxJc112HtM+uJ6ecVz1U7EpYIq65oE+uw4q8g3Ey0pdgbYPyGmKfL+GNoLg8gUlhIlXzCQgEEC0I5d+7c+fPn43tomSSy0horFFNaAMXaq5BCqSRWbFFFVBcPGrRff0ABrDlgpwurBJI+XrUj6UvMfDdt2iTaxAYXlilEikxhsLnGhN64ToAK6zo71jQuAZwWwCkFMXuFOkMc65ITFwp71f004/Kh5UoR4CqBUiTZjpEIYO8Ls1opEXRsbKyRrKetxiHAOaxxxoqWkgAJGI0A57BGGzHaSwIkYBwCVFjjjBUtJQESMBoBKqzRRoz2kgAJGIcAFdY4Y0VLSYAEjEbg/wEiWnJr0+oKbgAAAABJRU5ErkJggg==)
From the frequency table as well as from the graph, notice that:
Most common blood group = O [As O has the greatest no. of occurrence, i.e., frequency = 15]
Rarest blood group = AB [As AB has the least no. of occurrence, i.e., frequency = 2]
Question 5.Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows;
![](data:image/png;base64,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)
Prepare a frequency distribution table for the data given above.
Answer:Given the number of heads on tossing three coins can be represented in the form of frequency distribution table.
Just count the occurrence of number of heads in the data and formulate a table.
Count of occurrence of head by 3 coins:
0 (head occurred 0 times) = 3
1 (head occurred 1 times) = 10
2 (head occurred 2 times) = 10
3 (head occurred 3 times) = 7
![](data:image/png;base64,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)
It can also be analyzed and represented graphically:
![](data:image/png;base64,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)
Question 6.Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows;
1 2 3 2 3 1 1 1 0 3 2
1 2 2 1 1 2 3 2 0 3 0
1 2 3 2 2 3 1 1
Prepare a frequency distribution table for the data given above.
Answer:Given the number of heads on tossing three coins can be represented in the form of frequency distribution table.
Just count the occurrence of number of heads in the data and formulate a table.
Count of occurrence of head by 3 coins:
0 (head occurred 0 times) = 3
1 (head occurred 1 times) = 10
2 (head occurred 2 times) = 10
3 (head occurred 3 times) = 7
![](data:image/png;base64,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)
It can also be analyzed and represented graphically:
![](data:image/png;base64,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)
Question 7.A TV channel organized a SMS(Short Message Service) poll on prohibition on smoking, giving options like A – complete prohibition, B – prohibition in public places only, C – not necessary. SMS results in one hour were
![](data:image/png;base64,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)
Represent the above data as grouped frequency distribution table. How many appropriate answers were received? What was the majority of peoples’ opinion?
Answer:Given the poll options (A, B & C) can be represented in the form of frequency distribution table.
Just count the occurrence of each option in the data and formulate a table.
Count of occurrence of options are:
A (complete prohibition) = 19
B (prohibition in public places only) = 36
C (not necessary) = 10
![](data:image/png;base64,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)
It can also be analyzed and represented graphically:
![](data:image/png;base64,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)
To find number of appropriate answers received in poll, add total frequency.
That is, 19 + 36 + 10 = 65
Thus, total number of appropriate answers received = 65
To analyze majority votes on poll, mark the highest frequency.
Note that, highest frequency is 36, that is of option B.
And hence, majority of people’s opinion is B, i.e., prohibition in public places only.
Question 8.A TV channel organized a SMS(Short Message Service) poll on prohibition on smoking, giving options like A – complete prohibition, B – prohibition in public places only, C – not necessary. SMS results in one hour were A B A B C B
A B B A C C B B A B
B A B C B A B C B A
B B A B B C B A B A
B C B B A B C B B A
B B A B B A B C B A
B B A B C A B B A
Represent the above data as grouped frequency distribution table. How many appropriate answers were received? What was the majority of peoples’ opinion?
Answer:Given the poll options (A, B & C) can be represented in the form of frequency distribution table.
Just count the occurrence of each option in the data and formulate a table.
Count of occurrence of options are:
A (complete prohibition) = 19
B (prohibition in public places only) = 36
C (not necessary) = 10
![](data:image/png;base64,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)
It can also be analyzed and represented graphically:
![](data:image/png;base64,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)
To find number of appropriate answers received in poll, add total frequency.
That is, 19 + 36 + 10 = 65
Thus, total number of appropriate answers received = 65
To analyze majority votes on poll, mark the highest frequency.
Note that, highest frequency is 36, that is of option B.
And hence, majority of people’s opinion is B, i.e., prohibition in public places only.
Question 9.Represent the data in the adjacent bar graph as frequency distribution table.
![](data:image/png;base64,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)
Answer:Analyzing a bar graph is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 4 parameters for vehicles namely, cycles, autos, bikes and cars.
So now, create a table consisting of these vehicles and their corresponding frequencies.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 10.Represent the data in the adjacent bar graph as frequency distribution table.
![](data:image/jpeg;base64,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)
Answer:Analyzing a bar graph is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 4 parameters for vehicles namely, cycles, autos, bikes and cars.
So now, create a table consisting of these vehicles and their corresponding frequencies.
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)
Thus, this is the required frequency distribution table.
Question 11.Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it.
![](data:image/png;base64,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)
Answer:Observe that, on x-axis we have classes from I Class to VI Class.
The scale used in x-axis is class on a unit interval.
And on y-axis, we have number of students.
The scale used on y-axis is from 0 to 90 with an interval of 10 units.
Analyzing a histogram is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 6 parameters for classes namely, I Class, II Class, III Class, IV Class, V Class and VI Class.
So now, create a table consisting of these classes and their corresponding frequencies (number of students).
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOIAAACwCAIAAACdNCV8AAAAAXNSR0IArs4c6QAAE09JREFUeF7tnb/O3sQSxsm5DBShCLiGFBFQpAAugIJQpUKCOoKGMg2IGiSqVIEiFwAUKQJKwTUAQghxG5wfeo4mc9b/1vZ67bXnLT69n9/9M/vMs+P1embnxj///PNSfAKBYyPwn2OLF9IFAv8iEDQNHjSAQNC0ASWFiDdsbXrjxo2AIxA4CALJI9P/0TQep4aUxBwOcKoxuIt23PSrgR8dLUcgaLocu6hZDYFD0PT333/Hzv/888/Vht16R9999x2I8fn444+3G8u77767afv5ktem6RdffCF89eHffFkPXvL1119PJhv/wqctxL537963337Lcvmrr77KaR/ZKkNNd3SaI1tOmao0ZXZ+8803gGsf/sWU5gjaRJl33nnn/v37W4sqxG7fvr11Rwdq3xiDTJ5Axb8z+4e6+O233/jpp59+olMVs48u6vPaa691r/vCtFNcbDWYAw7iff755zBVdk617LvfKPjoo48y5fRoGBTjQ/ZVEIaO6M6qIKSu6KeunNKFfbyoVLHrSd1EL4jaVaKv7mHpQtFFu541ffbsmcdraKa+//77Jjfl33zzTZVkkfT222/rJ1B4/vw5FzHPMEMXGfkvv/yyuwHgLvzZZ591xeAOaCr/8ccfc9Z8LNa5uYud/AUKLd9FAs3JV1991feFoaWKTVf9hEiaQpT/9ddfRyCiOiWNQ55YElhQMxCQt3bo0a7rZvLGG2/QnaYEH/7VkkP/Ih5kmKWpejRdcHP/4IMPGIwq8tdaYNiffPIJFwH9jz/+0IDhN59Zg9+iMLxhOiULQeiFbh48eKAeHz58+PXXX0/2/vjxY4jCYKV4vnNlvNbff/9NAf3l8/3330/24gs8efIEbnVhBHkEtumHXn744QdTh9nvt956KzHG1jhqshkCRJlLaqtej6bJvB+Bj5mqBywzpUIcaOzZS9UxS8CniwUX7LNU2y2MDj799FN//a+//uJfQ+DmzZv8OzlvKeBB4/tkFZkxcFv8hDoCozXr9ZKJlXhp6pscSNJsPZoy1XJMiGCym7sX1xYDzHjdg9CcXWQeV36YHdEQXPG39YSXCWuH2kl4mbB2qBb3GVsFMVvmEmJkVZAs/fPtjkSlZQnGbSFnzeMHWI+m3EqgV+I5ACm7ON69e1ciagGqj5/l9t1f9A9YmVN8u2Jwxc9JjBziffnll+qRu6ct07UD2ksm3Vu1HuUv37UKGvnQms1VzQ1Dz1ZHXLl16xat6Sc/t+/cuQMX1SMiWRkYmXDLr0175XnllVf8AoDyNsa5/P63fbNG/rtdLP4leYrSut4/6fuHRC3hNYl9RXtK9Wv8/MfnBYPKAcceU8yYUWvySV8Lu6E9it4nff8IlYwlWRra5oBdt8cam9WowMupf/lQAHg9qr0q8HWTzRzTDmJYs2p5XAVdtMP1ZNw8/e/XcD3JgqlQoXA9KQRkNFMXgXpr07rjit5OhUDQ9FTqPOtggqZn1eypxhU0PZU6zzqYoOkOmmW7N9kG1uuZuVvxO4g+0CXb9ZvKHzStrWs5YtrLHu+TsWTfu7b4/f3xLpRNU5wZNhInaLoRsIPN8gLTO17wcmg77dYcmxxWNnIDr/0WasEboCNU6b4XWSYVJsc7evp3M7zj0bsie/OkN1j+tZx5LXI9ccxVYf8+j3+9N13yJs/ee+lVk70x8l34rvU6yr9z0tt5P5xkdMsgUi9J3aBpFpilaIqyE49g/0JSJPPvEj3tus7j3q90kqaesv67COp90tWsOOp9T8V742UyJWySZAE6WqiLdtz0a94Y//Xn8B4hvX0/evTIruOtYi6n8v+QyyllYPystSyLDfxc1fJ7771nLib8S1PyalXgitxV5e1qvqdyXaWiecPgnGqyqVnkYY5t8SAYNK1K03Hn+V5RvJetuSxREi+nuaLjZq8thUxvsu408FOFOLYKgV8aY9B0rq5XlV/gu514ftnjl3fMy5TJB5Zx15UFHfn02kW8EPFR5FEJe1wtXCJomqniMsWwRvKJzvzgYAon7AQDvmgDC5dc82f1D9eyf+an64MIoLs3fux0jt+dvbcrbZqDqXxnMcz++U/DoUG4O2spkolD0DQTqDLFCGHwS8/JRuEEivfRHXguUwu3a2inO3gS/sZDD+zUT55JmOEPP/zQwjyIzxnnE10rTlBVfGHaQQbWqYn8hEx6D+DJ0c0oUNktev1j4C4tAGipfmmqeKA2bY6HFJcSXu34533fso9KXdNjF+2wpjOmdJGiSZhUkTYrN4K17gZ5a+2x1Wo1rGnOvC9oTekOqzMZaJEjldddNWuavDKQDIo/KXWX6KIdx/BWtkTRXRYCehdln4iFykItYqGyYCpUKGKhCgEZzdRFIB6h6uIdvS1C4KA0xexv5RK2CKaotC8CG9LUjoJKTjrxA7ZTj7WHPPfMln2xO2zvXV96f/pxk6dyb7ohlZyjmWyyaBfDX+Qdht47c73aDkvO1k/ZDamcHheXAVV5ltj2kD9YZfyQlcWdlq3YRXtDazpubJjTvJVODpPBWyzxh9Cx/PbxBx55a20rBJ0srk+TZmOdidbtKHkfq5Nl9bZTJ3kd4SDYWQPdjaa4R2A7J90U/Jl7elst8vUe69p7VO8sOJouLG+S7tGhvL73Xn/M5Lmn4O4Oy240XeCHphdx8jDqPda196je3SGuIwDzluHPPXe3jmzre9mNpvlevX75bwPuPda196je9Rg10cLTp0/NgVrH5HJzP86Brysx3I2mOKT5g7GHhsGNjBu9f86zkr3HulpJO6p3JUCtVGeK2tjtZEkd/U7kqr93gRv+hK2MS3LuRlMdJp+EzvBU1H3uMRdG/1Pvsa69R/W2pY8tpNU53XKCltd9e8l6ttuQ6s3PkuxcJB7gFlABoD5tjZSnBnW991jX3nNii+yV0G+Rduo00j2n18OVhJrUEWlWL120w/Uky36F60kWTIUKhetJISCjmboI7LY2rTvM6K1tBIKmbevvItIHTS+i6LaHGTRtW38XkT5oehFFtz3MoGnb+ruI9EHTiyi67WFGAHTb+jur9BEAvUSz8RZqCWpL68RbqKXIRb1dEYi16a7wR+d5CByapgqEumBIU57uLlSqPE0VfauPfBztXzvKtQuwrxVB+ssImGBocedJ2CPXm/PqL09Twj/s0DZF5OkMOi4ORergzgyU3iWRw4iXqeritXz6m+Rh2buZyqu/oU95ms4dvGZ2wuAEYgokB0/4lYCPkLaDunsvzpUtyh8Egf1pSqyZDske/xBWauYWL31FpfFhIWEZt3DsVwR678WpHs7wu0XtdXNR2PHkLZ56tD9NF+SgIXsBnJLhpLrFo0FlBUn3XjwDDUfHwHLLZjI0tScBf9YBt34WVM09le5P0/wcNHbMiZlStMZZCcSj6RZvTfVePD1N/QA5dNwnkbKfFClpqU5awWR/mpI7hkRYk3iJgrIWPpemNxXETGql23txsoszFRhJ67Pg9rU7MvvTlKdO6JXYVNtM8QBBaP3rjYGvaMnjei/ujvWmArAE8vt9WFOLs2Wjyu7yCoDu5srZVLYCjRcPgPZRyDoUzqRMtkuSs/j8YLqJYr0FVSS0Gvdh1hY/3XtxVgxuUtgM+ZpGtq7rUzz63HxJruhSiRy2G04X7QiAzprq4XqSBVOhQuF6UgjIaKYuAvuvTeuON3prEoGgaZNqu5rQQdOrabzJ8QZNm1Tb1YQOml5N402ON2japNquJnTQ9Goab3K8EQDdpNpOL3QEQC9RcbyFWoLa0jrxFmopclFvVwRibbor/NF5HgJt0FSBUHkjilInRKAYTX1InaJtkgzQuDxaGN1IAK6vFUH6cxnnY50t5ukEAdAv8siAyEoPwm6elyQDtBLpjiR84VfvKEl5fCiRSh6TK8VbU33f3jMlH8ruPAl7ZvvVinXRLmZN5877bnmczHFn9plhiRXpRkT43JB2YgWtJTZD7XsTnh90tX4su7RALB4mYDJb8S6yrez0QDQlzu7+/fuT4yEoxaY1tCbToarwxTKeERKtsAqC+8x4U8Ci+Cd7aa6AxguAyZEzNpAIgC6jU92bZn3QitXiy59//qnqUJkQSpHSgtew06e0NBqyhslU1xzWwTP6KQKgZ5FqorAP5Rkvyu1bNsOf4YPVJAmvrit4DfVgXymjiywqSop7yLZsHur4nW48fgRAr9UbN+VHjx5NtgLhKCmb4YPRUIAuYlYJUddzrp2VAokJ52/uGIVJNKzAzZs3+Z6zqokA6HxUe0o+ePAAevkoXkDvfe6xPNvPnj1TQz781ywKpDQL+vLLL68S7vCVmaU+NzsD518uIngEQL/Yo/CGTY8ySQZoH8Fspz519ziSW78egPyGlO9IXagRX9Ha9+yyB6wFGyvWy4K6NasYCNrI695zGEgEQB/e5iwVMFxPliK3pF64nixBLersjsCB9k13xyIEOCwCQdPDqiYEe4FA0DTY0AACQdMGlBQiBk2DAw0gEDRtQEkhYkSWBgeOiAAvJrxYcb5plpJiez8LpkKFYnu/EJDRTF0EYm1aF+/obRECDdA0wkoXafZUlUrSNAku1b+JB+Q458zfWY7MOd6Tp9LGusEMpdalVR9A1qTTrbl7MZj1LmdJcKky6vpmcb3r9eJTrIj/iaaU+WT3sFI9da4HZ+sWkjjexJFP/ntD0adbyzar/S7aJa1p1xaQjNSnJsM64vjcm5QISwDKPjMxLr3djNGJwbAeeyNILxVWOmKIcR4HW3mLE86A7VBm14Y+29IURjKJ7S7z5MkTDGRv3Bz0VSbS8Y9Pywnc5urfG0F6nbBSA603tS5xfLdu3bIyrKws6mEK76P8vi1NYSS8fPz4sYaLZe0NcV62BsVUK6ynN4L0UmGlgncote5RuLZCjm1pimDwklg5vmBTsazK0Jx8ZsUlWxw6caRqpzeC9IJhpR7VodS6K6iyZ9XNaSpe8oCPTfV5IpNBe6M7hIfONbHHLL5Yyd4I0uuElXYR86l1CcS1XO6U5BZkMY97Um9O35vTFGFgJ5HN2NSR1SeznwI+lB7r66NMbVB37tzR96dPn+pLbwTppcJKAWEktS6kBFutgpRa9/bt23NIcoCyBTekusGlaly7VD7WcWh7IsHD76GoiregGGBr01e0CNLei7N2RgqCs6zfWbWGUusmuI0cNTeru+0Ko7ik8XA9yTIV4XqSBVOhQuF6UgjIaKYuAjXWpnVHFL2dEIGg6QmVer4hBU3Pp9MTjihoekKlnm9IQdPz6fSEIwqanlCp5xtS0PR8Oj3hiCIA+oRKPcGQIgB6iRLjLdQS1JbWibdQS5GLersiEGvTXeGPzvMQOC5NFcm0zLE/b+xRqhkEytNUzsuW11VI6OJQ6G0SiJfUbQbLvQX1MCauuhEA3eN22I3ExU9U0czdD16SyU+o27xUD5J2QyId/OM9evluSYp90HMEQL8wJnjpE+Lo79dDwXrKWJ4EOiebERTwB1UkVtlCo2yF0Jtjd29LV6N/n5eMeEbDPwKg+9FXKi3CnfXzSLAegSIAOqlDi2qCwRgJIptVhVubhUZhJxR+3ptjd7KLkxUgntECISMAelC5/iCJkWC9BYkJFVAlU0F1C0aDygoP7ObYPRkFx4ej20uS8r11BMo/QgkRf5DESLBefo57DKcUYKaUXrATNK7r1lQ3x27rSpolvxbQmNLegMdZTR2n8FY0tYMkWFZa8szusO/evetP7xnCRRSUAnxSSZ+CGyOqlW5vjt3jIF5HEqJJeTxQXxEAPYa5DpIg9Hlk9cmhUdArsamYxl5C6+Lz58/tV19RcZW9OXbrMGPfXnzAN5IAu+WMjQDoiS0aaW5yU8kn4aW8Ipj94X7egqqw2vQVbf+lN8fuyr0ks+Ur29m0uh94ssfnA8cjAHpfg7Jh7+F6siG4nabD9aQm2tFXMQS2eoQqJmA0FAi89FLQNFjQAAJB0waUFCIGTYMDDSAQNG1ASSFi0DQ40AACQdMGlBQiRgB0cOCICEQA9BKtxFuoJagtrRNvoZYiF/V2RSDWprvCH53nIdAATSMDdJ4qz1yqJE1ZUsgx2X8UDO3Th3bLWPnIAL2ea8Cb+O0nMYy9alrf77YtmAck3az0hsSpMcmqg+eoXVGO5yFnx8gAvRJ8qptTaeJsOo78+n6Lt9ClYklrmiTSpbNx130//yID9HprRCiEIm/XN3W0FkrSNEmkO5KWvItCZIDemhmEOiq2scVDZUrSFKAtkS7fR9KSJypZdlBUZIDOZLYPbGTRde/evaFTkjIbrF+sME0tkS4jGTrppDvIyABdTfGE3bJy9WGP1bpe01FhmiKKEumOnHTSK25kgF6jxVl1FxzhMav9LQqXp6kOkHr48OGstXxkgN5Cu2qTx1O7yysDNA+723W3ScsFN6SsKUXi+r0nH8Fspz51NzKSEUYG6Fl7PT7KGSRtW8pn5ub6ZDz6rE63KIyQSbORATpr8ofrSRZMhQqF60khIKOZugiUX5vWlT96uwQCQdNLqLn1QQZNW9fgJeQPml5Cza0PMmjaugYvIX/Q9BJqbn2QEVnaugbPKf9gZOk5hxujOgUCcdM/hRrPPoj/ArfcanvO7ODHAAAAAElFTkSuQmCC)
Thus, this is the required frequency distribution table.
Question 12.Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it.
![](data:image/jpeg;base64,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)
Answer:Observe that, on x-axis we have classes from I Class to VI Class.
The scale used in x-axis is class on a unit interval.
And on y-axis, we have number of students.
The scale used on y-axis is from 0 to 90 with an interval of 10 units.
Analyzing a histogram is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 6 parameters for classes namely, I Class, II Class, III Class, IV Class, V Class and VI Class.
So now, create a table consisting of these classes and their corresponding frequencies (number of students).
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 13.The marks of 30 students of a class, obtained in a test (out of 75), are given below:
42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29
59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.
Form a frequency table with equal class intervals. (Hint : one of them being 0-10)
Answer:Given are marks of 30 students of a class, obtained in a test (out of 75).
Note that these marks lie between 0 to 75.
So, these should be distributed in a way such that, the interval remains same in each distribution.
If we distribute it in a class interval equals to 5. Then, range would get maximized, i.e., 0-5, 5-10, 10-15, 15-20, …, 70-75.
But if we distribute it in a class interval of 10. Then the range will be optimized.
So, let’s make a table.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 14.The marks of 30 students of a class, obtained in a test (out of 75), are given below:
42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29
59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.
Form a frequency table with equal class intervals. (Hint : one of them being 0-10)
Answer:Given are marks of 30 students of a class, obtained in a test (out of 75).
Note that these marks lie between 0 to 75.
So, these should be distributed in a way such that, the interval remains same in each distribution.
If we distribute it in a class interval equals to 5. Then, range would get maximized, i.e., 0-5, 5-10, 10-15, 15-20, …, 70-75.
But if we distribute it in a class interval of 10. Then the range will be optimized.
So, let’s make a table.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 15.The electricity bills (in rupees) of 25 houses in a locality are given below. Construct a grouped frequency distribution table with a class size of 75.
170, 212, 252, 225, 310, 712, 412, 425, 322, 325, 192, 198, 230, 320, 412, 530, 602, 724, 370, 402, 317, 403, 405, 372, 413
Answer:Given are electricity bills (in rupees) of 25 houses in locality.
To construct a grouped frequency distribution table with a class size of 75, note down smallest and largest number from the data.
Smallest number = 170
Largest number = 724
So, let the class interval start from 150.
Then, add 75 to 150 = 150 + 75 = 225
⇒ First class interval = 150-225
Similarly,
Second class interval = 225-300 [∵ 225 + 75 = 300]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 16.The electricity bills (in rupees) of 25 houses in a locality are given below. Construct a grouped frequency distribution table with a class size of 75.
170, 212, 252, 225, 310, 712, 412, 425, 322, 325, 192, 198, 230, 320, 412, 530, 602, 724, 370, 402, 317, 403, 405, 372, 413
Answer:Given are electricity bills (in rupees) of 25 houses in locality.
To construct a grouped frequency distribution table with a class size of 75, note down smallest and largest number from the data.
Smallest number = 170
Largest number = 724
So, let the class interval start from 150.
Then, add 75 to 150 = 150 + 75 = 225
⇒ First class interval = 150-225
Similarly,
Second class interval = 225-300 [∵, 225 + 75 = 300]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 17.A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:
![](data:image/png;base64,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)
Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.
Answer:Given are life (in years) of 40 batteries.
Know that, when the lower limit is included, but the upper limit is excluded, then it is an exclusive class interval. For example – 150-153, 153-156, etc … are exclusive type of class intervals. In the class interval 150 - 153, 150 is included but 153 is excluded.
Usually in the case of continuous variate, exclusive type of class intervals are used.
We can arrange the data in ascending order since the data is very large. We have
2.2, 2.3, 2.5, 2.6, 2.6, 2.8, 2.9, 2.9, 3.0, 3.0, 3.1, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.3, 3.4, 3.4, 3.4, 3.5, 3.5, 3.5, 3.5, 3.6, 3.7, 3.7, 3.7, 3.8, 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.6
This makes calculation of frequencies easier.
So, let the class interval start from 2.0.
Then, add 0.5 to 2.0 = 2.0 + 0.5 = 2.5
⇒ First class interval = 2.0-2.5
Similarly,
Second class interval = 2.5-3.0 [∵ 2.5 + 0.5 = 3.0]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Question 18.A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:
2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5
3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7
2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8
3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4
4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6
Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.
Answer:Given are life (in years) of 40 batteries.
Know that, when the lower limit is included, but the upper limit is excluded, then it is an exclusive class interval. For example – 150-153, 153-156, etc … are exclusive type of class intervals. In the class interval 150 - 153, 150 is included but 153 is excluded.
Usually in the case of continuous variate, exclusive type of class intervals are used.
We can arrange the data in ascending order since the data is very large. We have
2.2, 2.3, 2.5, 2.6, 2.6, 2.8, 2.9, 2.9, 3.0, 3.0, 3.1, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.3, 3.4, 3.4, 3.4, 3.5, 3.5, 3.5, 3.5, 3.6, 3.7, 3.7, 3.7, 3.8, 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.6
This makes calculation of frequencies easier.
So, let the class interval start from 2.0.
Then, add 0.5 to 2.0 = 2.0 + 0.5 = 2.5
⇒ First class interval = 2.0-2.5
Similarly,
Second class interval = 2.5-3.0 [∵, 2.5 + 0.5 = 3.0]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
![](data:image/png;base64,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)
Thus, this is the required frequency distribution table.
Write the mark wise frequencies in the following frequency distribution table.
Answer:
The mark wise frequency representation indicates the upper range of the marks and their corresponding frequencies. Let’s form a frequency table showing mark wise frequencies.
We can also represent marks and their corresponding frequencies on a graph, which will show relationship between them.
Question 2.
Write the mark wise frequencies in the following frequency distribution table.
Answer:
The mark wise frequency representation indicates the upper range of the marks and their corresponding frequencies. Let’s form a frequency table showing mark wise frequencies.
We can also represent marks and their corresponding frequencies on a graph, which will show relationship between them.
Question 3.
The blood groups of 36 students of IX class are recorded as follows.
Represent the data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?
Answer:
Given the blood groups of 36 students can be represented in the form of frequency distribution table.
Just count the occurrence of blood groups in the data and formulate a table.
Count of blood group:
A = 10
B = 9
O = 15
AB = 2
Representing the same on a graph to show the relationship between blood group and number of students (frequency),
From the frequency table as well as from the graph, notice that:
Most common blood group = O [As O has the greatest no. of occurrence, i.e., frequency = 15]
Rarest blood group = AB [As AB has the least no. of occurrence, i.e., frequency = 2]
Question 4.
The blood groups of 36 students of IX class are recorded as follows.
A O A O A B O A B A B O
B O B O O A B O B AB O A
O O O A AB O A B O A O B
Represent the data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?
Answer:
Given the blood groups of 36 students can be represented in the form of frequency distribution table.
Just count the occurrence of blood groups in the data and formulate a table.
Count of blood group:
A = 10
B = 9
O = 15
AB = 2
Representing the same on a graph to show the relationship between blood group and number of students (frequency),
From the frequency table as well as from the graph, notice that:
Most common blood group = O [As O has the greatest no. of occurrence, i.e., frequency = 15]
Rarest blood group = AB [As AB has the least no. of occurrence, i.e., frequency = 2]
Question 5.
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows;
Prepare a frequency distribution table for the data given above.
Answer:
Given the number of heads on tossing three coins can be represented in the form of frequency distribution table.
Just count the occurrence of number of heads in the data and formulate a table.
Count of occurrence of head by 3 coins:
0 (head occurred 0 times) = 3
1 (head occurred 1 times) = 10
2 (head occurred 2 times) = 10
3 (head occurred 3 times) = 7
It can also be analyzed and represented graphically:
Question 6.
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows;
1 2 3 2 3 1 1 1 0 3 2
1 2 2 1 1 2 3 2 0 3 0
1 2 3 2 2 3 1 1
Prepare a frequency distribution table for the data given above.
Answer:
Given the number of heads on tossing three coins can be represented in the form of frequency distribution table.
Just count the occurrence of number of heads in the data and formulate a table.
Count of occurrence of head by 3 coins:
0 (head occurred 0 times) = 3
1 (head occurred 1 times) = 10
2 (head occurred 2 times) = 10
3 (head occurred 3 times) = 7
It can also be analyzed and represented graphically:
Question 7.
A TV channel organized a SMS(Short Message Service) poll on prohibition on smoking, giving options like A – complete prohibition, B – prohibition in public places only, C – not necessary. SMS results in one hour were
Represent the above data as grouped frequency distribution table. How many appropriate answers were received? What was the majority of peoples’ opinion?
Answer:
Given the poll options (A, B & C) can be represented in the form of frequency distribution table.
Just count the occurrence of each option in the data and formulate a table.
Count of occurrence of options are:
A (complete prohibition) = 19
B (prohibition in public places only) = 36
C (not necessary) = 10
It can also be analyzed and represented graphically:
To find number of appropriate answers received in poll, add total frequency.
That is, 19 + 36 + 10 = 65
Thus, total number of appropriate answers received = 65
To analyze majority votes on poll, mark the highest frequency.
Note that, highest frequency is 36, that is of option B.
And hence, majority of people’s opinion is B, i.e., prohibition in public places only.
Question 8.
A TV channel organized a SMS(Short Message Service) poll on prohibition on smoking, giving options like A – complete prohibition, B – prohibition in public places only, C – not necessary. SMS results in one hour were A B A B C B
A B B A C C B B A B
B A B C B A B C B A
B B A B B C B A B A
B C B B A B C B B A
B B A B B A B C B A
B B A B C A B B A
Represent the above data as grouped frequency distribution table. How many appropriate answers were received? What was the majority of peoples’ opinion?
Answer:
Given the poll options (A, B & C) can be represented in the form of frequency distribution table.
Just count the occurrence of each option in the data and formulate a table.
Count of occurrence of options are:
A (complete prohibition) = 19
B (prohibition in public places only) = 36
C (not necessary) = 10
It can also be analyzed and represented graphically:
To find number of appropriate answers received in poll, add total frequency.
That is, 19 + 36 + 10 = 65
Thus, total number of appropriate answers received = 65
To analyze majority votes on poll, mark the highest frequency.
Note that, highest frequency is 36, that is of option B.
And hence, majority of people’s opinion is B, i.e., prohibition in public places only.
Question 9.
Represent the data in the adjacent bar graph as frequency distribution table.
Answer:
Analyzing a bar graph is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 4 parameters for vehicles namely, cycles, autos, bikes and cars.
So now, create a table consisting of these vehicles and their corresponding frequencies.
Thus, this is the required frequency distribution table.
Question 10.
Represent the data in the adjacent bar graph as frequency distribution table.
Answer:
Analyzing a bar graph is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 4 parameters for vehicles namely, cycles, autos, bikes and cars.
So now, create a table consisting of these vehicles and their corresponding frequencies.
Thus, this is the required frequency distribution table.
Question 11.
Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it.
Answer:
Observe that, on x-axis we have classes from I Class to VI Class.
The scale used in x-axis is class on a unit interval.
And on y-axis, we have number of students.
The scale used on y-axis is from 0 to 90 with an interval of 10 units.
Analyzing a histogram is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 6 parameters for classes namely, I Class, II Class, III Class, IV Class, V Class and VI Class.
So now, create a table consisting of these classes and their corresponding frequencies (number of students).
Thus, this is the required frequency distribution table.
Question 12.
Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it.
Answer:
Observe that, on x-axis we have classes from I Class to VI Class.
The scale used in x-axis is class on a unit interval.
And on y-axis, we have number of students.
The scale used on y-axis is from 0 to 90 with an interval of 10 units.
Analyzing a histogram is very easy. Just note down the parameters and its corresponding frequencies by observing the bar graph.
There are 6 parameters for classes namely, I Class, II Class, III Class, IV Class, V Class and VI Class.
So now, create a table consisting of these classes and their corresponding frequencies (number of students).
Thus, this is the required frequency distribution table.
Question 13.
The marks of 30 students of a class, obtained in a test (out of 75), are given below:
42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29
59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.
Form a frequency table with equal class intervals. (Hint : one of them being 0-10)
Answer:
Given are marks of 30 students of a class, obtained in a test (out of 75).
Note that these marks lie between 0 to 75.
So, these should be distributed in a way such that, the interval remains same in each distribution.
If we distribute it in a class interval equals to 5. Then, range would get maximized, i.e., 0-5, 5-10, 10-15, 15-20, …, 70-75.
But if we distribute it in a class interval of 10. Then the range will be optimized.
So, let’s make a table.
Thus, this is the required frequency distribution table.
Question 14.
The marks of 30 students of a class, obtained in a test (out of 75), are given below:
42, 21, 50, 37, 42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29
59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51.
Form a frequency table with equal class intervals. (Hint : one of them being 0-10)
Answer:
Given are marks of 30 students of a class, obtained in a test (out of 75).
Note that these marks lie between 0 to 75.
So, these should be distributed in a way such that, the interval remains same in each distribution.
If we distribute it in a class interval equals to 5. Then, range would get maximized, i.e., 0-5, 5-10, 10-15, 15-20, …, 70-75.
But if we distribute it in a class interval of 10. Then the range will be optimized.
So, let’s make a table.
Thus, this is the required frequency distribution table.
Question 15.
The electricity bills (in rupees) of 25 houses in a locality are given below. Construct a grouped frequency distribution table with a class size of 75.
170, 212, 252, 225, 310, 712, 412, 425, 322, 325, 192, 198, 230, 320, 412, 530, 602, 724, 370, 402, 317, 403, 405, 372, 413
Answer:
Given are electricity bills (in rupees) of 25 houses in locality.
To construct a grouped frequency distribution table with a class size of 75, note down smallest and largest number from the data.
Smallest number = 170
Largest number = 724
So, let the class interval start from 150.
Then, add 75 to 150 = 150 + 75 = 225
⇒ First class interval = 150-225
Similarly,
Second class interval = 225-300 [∵ 225 + 75 = 300]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
Thus, this is the required frequency distribution table.
Question 16.
The electricity bills (in rupees) of 25 houses in a locality are given below. Construct a grouped frequency distribution table with a class size of 75.
170, 212, 252, 225, 310, 712, 412, 425, 322, 325, 192, 198, 230, 320, 412, 530, 602, 724, 370, 402, 317, 403, 405, 372, 413
Answer:
Given are electricity bills (in rupees) of 25 houses in locality.
To construct a grouped frequency distribution table with a class size of 75, note down smallest and largest number from the data.
Smallest number = 170
Largest number = 724
So, let the class interval start from 150.
Then, add 75 to 150 = 150 + 75 = 225
⇒ First class interval = 150-225
Similarly,
Second class interval = 225-300 [∵, 225 + 75 = 300]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
Thus, this is the required frequency distribution table.
Question 17.
A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:
Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.
Answer:
Given are life (in years) of 40 batteries.
Know that, when the lower limit is included, but the upper limit is excluded, then it is an exclusive class interval. For example – 150-153, 153-156, etc … are exclusive type of class intervals. In the class interval 150 - 153, 150 is included but 153 is excluded.
Usually in the case of continuous variate, exclusive type of class intervals are used.
We can arrange the data in ascending order since the data is very large. We have
2.2, 2.3, 2.5, 2.6, 2.6, 2.8, 2.9, 2.9, 3.0, 3.0, 3.1, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.3, 3.4, 3.4, 3.4, 3.5, 3.5, 3.5, 3.5, 3.6, 3.7, 3.7, 3.7, 3.8, 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.6
This makes calculation of frequencies easier.
So, let the class interval start from 2.0.
Then, add 0.5 to 2.0 = 2.0 + 0.5 = 2.5
⇒ First class interval = 2.0-2.5
Similarly,
Second class interval = 2.5-3.0 [∵ 2.5 + 0.5 = 3.0]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
Thus, this is the required frequency distribution table.
Question 18.
A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:
2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5
3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7
2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8
3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4
4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6
Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.
Answer:
Given are life (in years) of 40 batteries.
Know that, when the lower limit is included, but the upper limit is excluded, then it is an exclusive class interval. For example – 150-153, 153-156, etc … are exclusive type of class intervals. In the class interval 150 - 153, 150 is included but 153 is excluded.
Usually in the case of continuous variate, exclusive type of class intervals are used.
We can arrange the data in ascending order since the data is very large. We have
2.2, 2.3, 2.5, 2.6, 2.6, 2.8, 2.9, 2.9, 3.0, 3.0, 3.1, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.2, 3.3, 3.4, 3.4, 3.4, 3.5, 3.5, 3.5, 3.5, 3.6, 3.7, 3.7, 3.7, 3.8, 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.6
This makes calculation of frequencies easier.
So, let the class interval start from 2.0.
Then, add 0.5 to 2.0 = 2.0 + 0.5 = 2.5
⇒ First class interval = 2.0-2.5
Similarly,
Second class interval = 2.5-3.0 [∵, 2.5 + 0.5 = 3.0]
And so on…
For frequencies, count the occurrence of the numbers lying between the particular class interval.
Let us construct a table in order to show these class intervals along with their frequencies.
Thus, this is the required frequency distribution table.
Exercise 9.2
Question 1.Weights of parcels in a transport office are given below.
![](data:image/png;base64,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)
Find the mean weight of the parcels.
Answer:Given is the frequency distribution table for ungrouped data.
We have
![](data:image/png;base64,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)
⇒ 25 number of parcels have weight each 50 kg,
34 number of parcels have weight each 65 kg,
And so on…
This also implies that,
Total weight of 25 parcels = 1250,
Total weight of 34 parcels = 2210,
And so on…
Mean of such ungrouped data is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒
[∵ ∑xifi = 17000 & ∑fi = 200]
⇒ Mean = 85
Thus, mean weight of the parcel is 85 kg.
Question 2.Number of families in a village in correspondence with the number of children are given below:
![](data:image/png;base64,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)
Find the mean number of children per family.
Answer:Given is the frequency distribution table for ungrouped data.
We have
![](data:image/png;base64,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)
⇒ 11 families each have no children,
25 families each have 1 child,
And so on…
This also implies that,
Total number of children of 11 families = 0 × 11 = 0,
Total number of children of 25 families = 1 × 25 = 25,
And so on…
Mean of such ungrouped data is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒
[∵ ∑xifi = 144 & ∑fi = 84]
⇒ Mean = 1.7143
Thus, mean number of children per family is 1.7143.
Question 3.If the mean of the following frequency distribution is 7.2 find value of ‘K’.
![](data:image/png;base64,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)
Answer:Given is the frequency distribution table for ungrouped data.
We have
![](data:image/png;base64,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)
Mean of such ungrouped data is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR4AAAApCAMAAADUH7ZFAAAAAXNSR0IArs4c6QAAAMlQTFRFAAAAAAAAAAA6AAAyAABmADo6ADpmADqQAGZmAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbUTEAZgAAZgA6ZgBmZjoAZjo6ZjqQZmY6ZpCQZpC2ZpDbZra2ZrbbZrb/kDoAkDo6kGYAkGY6kLyQkLbbkNu2kNvbkNv/tmYAtmY6tmZmtpA6trZmttvbttv/tv/btv//25A625Bm27Zm27aQ29uQ2/+22//b2////7Zm/9uQ/9u2//+2///bfW2amQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAFJklEQVRoQ+1aDXvTNhCWQmihZqOllEBZB0vLGAOXDahpxhIn/v8/ivfupJP8ka8S13lK9Dx1Gls+Sa/vzvfqjTG7tkPgTiBQvLX2JFpJZnsfDB/KLbP9qzuw4Otfrb0/XHkhxcWByWJ4zISQ4UMFn5vCM7HnK0+n7Y5Z750pLvbHq46TJ9W5bxCe/BGBvEXwkDMYkx+tDE997huEp8EHV31s7fRTx5lQ9sgT+PXE2vOviT02fHAtP7X26DOebGJxmU4WFJV0vQKP72my/pe3tvcaPaZvrO0djw0u0XcZ4N4zax+OMWL/ypu6hG3b/1cG0BH9dNoBYInVzGLe1DJOITSzPDmkZHv4Ts5Ry5OhmV5QMvHeA7cbF6mmHX3uoWfWe/IZZs45dos/9wHF0IwoNjHAcPToPYf0BOiUTeEy9/Ejuul0lI8ube8VASROIPDwAflXE03KIUjnS8ElZ0qpOfRkbGeDA/yRqaNxCjg4mNm2eyA+zQdTMk6wE6bTif9MX9o9cosqPB4oTIoXKMcl8EQ9M35zESaX9vCTN0LfHeqE0uy5+qdHmi9Hdri3fO+mjRLMeTk8/OQVnmL0Enmo6j2yDO4Z4DFIU3tXswGlFqqGHDwUdBNyy7KpCB7nax3DwytZDk/JeyhhuHCLg6vRe4DAKDkIDuBjFnknxdIrprbJe2YvKAKWwSPvt1LuYTTruSfq6XLPiZQN6f7/XENIopc8Oxv8/htl57IpvhzZ6TK4kDrHZor8iUkdj5GGfPZ1qdlF/AQ8YipvGlfS0vXpmSZrjbnQM7N4t/3D5QJeQqcHuHVoiq+vowBNmZ4EU/Tfxw9sqzKiy+a3nnyuH6Mm4VcXvcL+Q+GDUiQ+yIyucZIqANQsDh8UKcffBvYcZ3pYkZIu39NkT8HO9uBj0ze4+QluRiFFQ9EAAjuiiz68KZ6DjB9G5K+Ut7rLzbf+UHYD3iIC5FuSzbKdkzXgDnyYVONzF4J1fGbPz5j+TB6c7uBpgudvKkeLiz+kuHbcV2mzsuxbjPgtGgrUJKXKdv8bw+O5b+C63dLarpECPFQspSdSmSv3ZU8Sgu1ZNp1Kmd1Qq+9xdr2UNsYHPPCU/BfwOsATMCrDs4DWKl538B8AAt6f9c+wASDweO6rXLdLYtKGP6xnk+DJE0RK5D2wELhuGZ6fMLhkA43hkf1zes8r1/3JvWfgtlolvXjuW6HNXdHa9SJh872VVHjm6rivct2N0NoGqXPuUlbWQKuiKmjRTeXBzeOqFsHVpC2a2zoyk2yVLm11UdVtsi69s6FDe/ogbd1hRcVlaVWiSmprAZ66qHojeNqWT0kvoQcum6e+VfBoAZ6GB76i35W8Z52Z3cQv6R6dlxcgRZVUkVJ/RxAY3HztNGigjgDKTa5Kr4uqqno2qKfbIZ96eCLJk1ZTFSkBZGBwc7VT1UCVAIr2ydFaF1WjUzX1VC10K596eCLJUylZJFLy8jyDm6udqgaqBDAqKxpE1QXqaaCQncqnDp5Y8lwEj8ha87RTFfmUAIYs3CCqLlBPIwrZqXxagkckT4anIlJ671kZHlcwVOEpiaoL1NOIQnYqn87xnqpIuTY8bv9yfe/BSFBPI/28U/nUwRNLnqr/NuSeJd4jv784CQQwwNMgqi5QT8dKIbuVT/nXOGhBgGRV8q+y3ik9wk9Y5minqoEqAYxKnLqoGg1aU0+3Qz7FLofDR4VMViWVuKnUGTO4edqpaqBe/AzaJ/Cti6p6qkE9/UH59DvhEknqlxlD9wAAAABJRU5ErkJggg==)
⇒ ![](data:image/png;base64,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)
⇒
[∵ Mean = 7.2]
⇒ 7.2(40 + K) = 260 + 10K
⇒ 288 + 7.2K = 260 + 10K
⇒ 10K – 7.2K = 288 – 260
⇒ 2.8K = 28
⇒ K = 28/2.8
⇒ K = 10
Thus, K = 10.
Question 4.Number of villages with respect to their population as per India census 2011 are given below.
![](data:image/png;base64,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)
Find the average population in each village.
Answer:Given is the frequency distribution table for ungrouped data.
We have
![](data:image/png;base64,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)
⇒ 20 villages each have 12k population,
15 villages each have 5k population,
And so on…
This also implies that,
Total population of 20 villages = 12 × 20 = 240,
Total population of 15 villages = 5 × 15 = 75,
And so on…
Mean of such ungrouped data is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒
[∵ ∑xifi = 2571 & ∑fi = 145]
⇒ Mean = 17.731
⇒ Mean = 17.731 × 1000
⇒ Mean = 17731
Thus, average population in each village is 17731.
Question 5.AFLATOUN social and financial educational program intiated savings program among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table.
![](data:image/png;base64,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)
Find arithmetic mean of school wise savings in each mandal. Also find the arithmetic mean of saving of all schools.
Answer:Given is the frequency distribution table for ungrouped data.
We have
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbEAAADXCAIAAAAbaPgVAAAAAXNSR0IArs4c6QAAJitJREFUeF7tnb2uHcexha/uYxAEQdh+BgaEzYCB5AdgYDFiRECKCStRqEQGYwlgpIhWwAeQGTCgDQZ6BtsgiAO+hu8HLaNUt+dn957de37XBAdzZvdP9aru6urumVqf/Oc///kfX0bACBgBI/ALAv9rHIyAETACRiAQsE10ZzACRsAI/IrAJ1o7f/LJJ0bFCBgBI3BABIr9w19tojcW5+wNTEIGvC3ghrQtngcprdttvHY+iOrdTCNgBKoQsE2sgsmJjIAROAgCton/VfQ//vEPvOh///vfI4r/y1/+8rvf/W6XPYN20fyTCMwDDsIA9VZw/vHHH70dX6mscc0KSf5WljaS7JKiNmMTZbP++Mc/ZiA0kvnpchDXVoKUmtt7PYssA8T+JtdvfvObtUFxuTxMdbL4xTU+w3355ZdFf7tckkVKUPPXP0w+//zzv//973/6059ASeM9rnN9EQr517/+RYHjXk6vOjZjE0P6mEa4ORepRXrkhZU2mTbHZXj//v2nn356oZxrzo6hl8Xn+u1vf/vtt9/q/p///OeaxT6UbEzMX3zxxe9///vcauyaNEX/PHewo3QKfP78+bkwbswmfv3LpUbme/4tfIFYfGnCkdulK2OEL6CHf/jDH7LZzXPUghNs0cYsOQ0MIesnw1gjhwdEOd//clEaaHQ7UGTJvkbGM69zQ6rsYWXVFIviaEJv1QhDOZHmetND1BIDj7rA5G9/+5tqpwmF51IjTIYuA0KBWX2UHAJkHIZwU3+WpvLKXSuJrgo04dHDh1Qco0CCjYymYvFLxkAsS5tbkXHDxg1ZqBcvXjx+/Hjo1wcPHgx1/qGeQ/pnz56hxHNt4n9XTGSLiXSdNzjVEvKzzz776y8Xk4Ag5qdCZn6N58pIrnATyKh7bvAadK9kMS9FgaQJcPAvIv2FKJ0EXE2QkNxzk2vXr5I2349LBQiBQ3EfmBQl8Dx+AiJ5WBleaUTiIZISSC8SmyueF/eAGYUX9yqHvyEwZQ4JGbXUKCX7id1ukLsE91F7UbIam/Efr1qAhH/KfXQkdTBhVXTCIdwyttFPRlQwNEwkMyXkXt1tclZ3kbjQctZ4blGM0C74kgEJi5FVQJG7R5gC5R3SkX4lY9c+ZGV1R+L2bKIQUY8cUfZQP8sdPWt0yCbm54vYRLVRPT76Df0gG4ihrpZ1X2CV21WUlnNl0xnPe9MX4IRIedDmVhSA52SRN1uok/bu5DQTgyRsUxjTGMwZpRGbmJMVDRySM4OWO16BW8zlQ7hR/ohNzJYlYBy3ibLv4/AWtk9WJtvHohUBXYHhUEelwMK0xTDXYM8qq3cCEDJciqEGdtu+sbUzDWDHgXaCUfc0IK9HBOXJ6/bt271pYi2T19QnS7tGAppJY4slJxthd+/ejepYv7AnOF77x48fSXDr1i0l040ejlw//fRTrB/ztkOufbyEDx8+MBIizZ07dzREb25u+BtKlCKKTYDvvvuOhxO2COoVoRqjG0geyda9Yo2ZWzRSV142AmOlVKp9CLfKQuqT/fnPf8YeBcixUzQ0mhh9L1++pPwffvjh6dOnURFqjULyirXm1G4IcHniiPfmzZuoiPMTTZaqrmYTox4NUm7PJiI0QwVFFu2kv3711VcxG1Si0KsMbZGoqGK+qiy2bTIaS9Oy1SuMYGEie2svjGBhIkcEDkjphbF3c9IEd42gnsRQL4xgYSIjO02LJdLIztFkwAsjWJjIXCzT5OvXryXMyL5YZGGsMqHGwo2BfZaQMXkUuJ1VSGViZj61C1vz5MkTco2MJm3SYTqx8o8ePYoqCkePMvVTzWb3kGuiEjQxZ7cACyCBcRc4XK5sZmWyTdrEobZFt6s8FSE9c51K09QX18OHD3X/7t27Siivmgzd57mXjsu/6m2MPYZo9E7MZa/tYPDT3m+++UZycsO/J+fwfNgX97l2ihp/YUWvVkSHxrjLucDfx8jGsSCnSdpZyxclx4g6Kepk/Kk3Du6QB6l0+okvXBxMx+n8zz//XFldHKTW+4kqeQg3fkLCt2/fKllIPiLPSec3xkt2/4dGkzoS5h7cQil0PxoYLhtaUyfkbITnUiK1DM0lTNjj7wAwtdBzVD59KSpi5oiG5wOfeMg0Nm5we3CLLZWT+zXLJig2VvN0HVNxNE/q7N23LjY4IosGpHz17BuqKD1fZD8xu2l5t0jbQLry0VDeje6qLBZ9eVYf2U/Mdipn0Z6OrjgP6d3MKryq7l6eCundHs1tPHm6RSE1XbR3SyvGf1FLwBWb15JW6WNbbajq7BvW7ycWm5sZ5O7aJe8GDm3pkiv01T2nyqrMDekdTRKgOGQL2CMLN9GK6EIgMLLxXRyGdPf3VSltLJZu0fm7u8+xFz/SMbq6cwyIrMf57tkHQU/z1XeAmgzpppWM98eGjHaQW13yVcfL7HYb28RW+J9XjgfweXhVpDakFSCtOgkaxAcsXtueLDELdnxPXMXxXZdut9nVfuJk+JzRCBiBxRFgdcw2ZZNzZArBIFLghG1o+4nL9AQ7Nc1xN6TNIT1CgfYTj6Blt9EIGIHpCHjtPB075zQCRmB/CNgm7k+nbtE2ENC3UiHr5SEsF2+2Pn2pfDt4cWmHBLBNXK1qLNieEeAQQJ/oqJH7CGHJB1ccHC/+OeyF/cY28UIAnd0ITEGA70/iGyry7yaEJW/S8G72hsKk9yhvK9+x1HyisKE0aGK10urt//zBQ/HvOiVfM6QFYjhTQ58kCXbaEp+X6Muf/PFG/haoN35MEQin+L4lfx2UP8fWJ16yEbmK/EGevmWSeNGoInhS0bp19pb87U0h4WZiha0c2XPFW/8Ajn5Pj8+B/85t6Wzp1w9pQAGexTeOxeeVMkyRPtu4fC+D2I1OOGITcwiyfN/9WlHfzBWRH2UTET4+9OwNRIZU+XvT2frAhIq63cZr5ykLnyPkYaQRcYRzAN56jShE/h6xiepZKefgBb1l5s+QiUyBDdIHHgrBoJAl/I3nlYKxZg8/UWEm4h1p/ERVce/ePf4qctKrV69waaMDKNqNIj7oLIUEXRl4cjIMXaXA8yezTZwf823UyPBg8ND18+ei53JibKOps0tZEz6rECpHscwhdiZ8p0GAmQh0WNP0rtKzXYYzQOHFdnPZJu5GlY0bghfA4GHC3wd3XWN0LitugiEr4tnERDXBvOatQBx/eYsjV28UL/xNotUpTt3JEi5Da+7ctolzI76V+hQPtRvOcyvyr1lOwhQSW7deQsibFMZVWbjRwe5QdELZ3Aj9ydwWdRG8MgdhpZzx1wlZJmP1Yn0dE6TCX1JUPrGJWvBkI6J7fTPXktLnzhP2ZS/PgvovL+RKJWjXPLwJbeTLTzkZxPBKItUUu2ZIx8+d+bV7xlJ4c0U01jhXCZNURCcsAlxmxfUGTMwCFMcm3XNnNUdVd89Stn7u7BgQy0xOGw1YwNbSajmRtwUpSPJ+Yqu4WOrElIkb2KXluFIXx8eEJiU4BqIWfEnC1M8mxoWtcwyICwE8evbVGsTNKQbuh60fTbAk7zIfiKdlKwaxt9t4P3Fzo8kC7wEBziX0gfNGG4OTGMQ10QQeaht6o42S2F47L6O+bS30lsHozFoN6ZmAOfkvFrDDAmI/0T3DCBgBI/ArAraJ7g1GwAgYAdtE9wEjYASMQB8C9hPdL4zAnhHgIFhf8vl7pEo1+4ylEqjGyXwg0BjQvs3y5lVsscCZX1rcHEQ+Y9mcyiywEbgIAb4zuX///kVFHCyz184HU7ibeyQEFNKGdwZ3QJMym95sE2eD2hUZgbkReP36NVXq42i+I2RLcesEUjMgaJs4A8iuwgisAgG+TW77hfUqWtVaCNvE1oi6PCOwVgTwEyfEW1xra64ll23itZB1uUbACGwRAdvELWrNMhsBI3AtBGwTr4WsyzUCRmCLCNgmblFrltkIVCEACYFOnKtSO9EvCPg7lmU6gr9jaY67IW0O6REK7HabX23iEdrvNhoBI2AECgQK1nL7icv0EDs1zXE3pM0hPUKB/t75CFp2G42AEZiOgM9YpmPnnEbACOwPgW3YRLhv9DW7LyNgBIzAVRGYzyb++OOPGwpsqUic/hDqyy+/VERSz0lXHYcTCg/VoB0GV1ECTwqV0ZmlyrhwNYpcKvPg3X4+mwjD92effQb368ERn9D7l8qiQcWpHJeZnZfSQm+9mLzvv/9eqiHszeeffx4Bb+R88KQ3o2Lk6CpYmDGIiqNz8Gsmm4gdxBp+9913cMK+evUqQNeiOGY8xTKKeaywnjlZVlukj+jqKkSdQ5HjuhVFCXn+pAo9J+Qcf5GW7N3p9AidRoihsiM0dottjDdI9Er2zc2NWgFzND99++23ZzVKPR/H5axcu0w8k03EDuIk8lb906dPX7x4kaEkDvCDBw/QIjfYzSdPnmgSI/3z588jZSTjJ5KFnWLcov7wZbL9QsF6rk4zVAKG769//atSMvdqGSLebrJ0p9Nd9oNuo968eYNvGPNNzBYHaf7Km4nhy5M697dv366RWfFli+U2ysUz8PwnAGeyidhBjB31PXr0CEOTA1tikqRgLCZ/v/nmG0n28OHD7CdGMn764osvGLHcYL8oLZYAhcEtdNxbAja0eO6pUvhjED/99NNYZzFbHNNfrjE0y6ZBTYyIkx/w6Ts/XXm5jVoZaIRWXLYV66l9DpuIBcRyheHDAXz58mUNBEN7WHfv3s3Zw5f56quvaoolTS4B2aIERn5lCUdIllHCGdc85GtVCLBOwiae6+JhQBmG7969oy2olYWXhkBsGR15/pvDJsoCht1BAReanvfv30e/xMuL2Y+byqOAXAKdI5fgCVPYMtgySqsyBBZGCDCmWBudaxCVN0YKHT77j/yU114HhHoOm4gFzKdd2hvuvj1QiT5+PgVqJY7vif7ynFZDYptLYC2PjQ5h+EkbZ7du3eLvx48fK6XaXzIQBmftcgALPrgw97UGBHSKyLAqzo5HZKNj57NpBg6dfw1tWZ0MmiIQK/tKDe9ZcxWuHIWz/aGHxa+IEccd+afiEC3SSE6KClh13pJPSJRmvISslSyAnscZTkNYrgd4QyGBIpApMG9YS6uiNgFpq8YyggpTEsudrDXSxOgrnuv8sLi6A6eVwKstp9ttjhIDAl+Sc57KlfUMExeTvKYiX60QMKStkDxUOd1uM8fa+VAQu7FGwAhsGgHbxE2rz8IbASPQGIGjrJ0bw3ZxcV7oXQxhWYAhbQ7pEQr02vkIWnYbjYARmI6A187TsXNOI2AE9oeAbeL+dOoWGQEjMB0B28Tp2DmnETAC+0PANnF/OnWLjIARmI6AuUynY+ecRsAI7ACB4usJv4uzjE794khz3A1pc0iPUKDfxTmClt1GI2AEpiPg/cTp2DmnETAC+0NgJptICK/K4PX1KScrA0lOhhQbEUM0L5Nrd0YjYATWjEAzm9hlSlQQWXNgrln9J2Uzl+lJiJZKMM5lilTEghJBmyRkmo+4zroJz6AYvEu1aCX1NrOJme2BkG2ZN+qsphL1d1rc4LNqOZl4RAzxop0sYQcJzGW6WiWOcJlKZgXHy/LneNp0YOItQnmkBJmmjecH92Oa2cSa3hMzVUTG1jo0SEeZr/KiNbOL5RWrFr9RGv9GCXlVq3kyriFe6WL+jEk1FvtZQso8yNrZXKY1XXrBNDExF1ymMoiwrIyQNdOHCS+vGN0aF/fu3VNbHE19PptIIPuvv/4aRRLvl0D22UK9fftWYXhF3VdzoVGVRmRgSg7aUma8MLioPKL7MvtB5dMtWYZPyYpAxDkxDOJKUx/qvaYVa05jLtM1a2eEy1Qe4jitEGMnejuDjtHBwBEDBz8Fd+aaEbiebPPZxKBb1IyUqU4mLJbRoqZHEaegSGGE4etlVmL2I9h6gaOIWSLvCMoj5vJ6ulm2ZHOZLot/fe2ZyxS7djKevJyGbFU1BPjLkigoNusF2FnK+WzibMBlD5SdEa2dcfSGBJBV9dVFwFym6+8VBZcpS67g5hVPEfSkxSsfrNKyJ8ghDGlYAzEL8peTgIO/VrFDmxj9GNUGa/uIo3dkcr6RMW8u0/UbRHp4wWXKkiv2i7QwYnMpr8NwElljZSfx5uYms7yJzG9o8339mFwu4aptIqpi3lMja1a4XTgePHigh1FOTsNOClWIfpqLTcnLAd1NCeYyXbMqJ3CZytLhJBZDib2sTAj8/PlzBkX9zv6aUZom26ptIkaK/T4tfpkPz20hviFLZmUfmvc4m4sqZCLPrWWv6XElAJBVFejpXY3sXOy11VtplyZyaad42XCkCSybYiM+ktHt8SWxlSqHEbEeestF1OEYEL/Czv40U+g8HYLOd5CXHGfr1oZ0Nqj3VFG326zaT5wZegziBG90ZiFdnREwAldF4Og2Mb/XzanCcV4/vGqvcuFGYLsIeO28jO680GuOuyFtDukRCvTa+QhadhuNgBGYjsDR187TkXNOI2AE9oiAbeIeteo2GQEjMBUB28SpyDmfETACe0TANnGPWnWbjIARmIqAuUynIud8RsAI7AIBc5muQo1+caS5Ggxpc0iPUKDfxTmClt1GI2AEpiPg/cTp2DmnETAC+0Ng1TZxiHS0hhGlhrB0RJ0zUKrurzO5RUZgBwjMahML0qiTJMs7wHe7TeiS0wbRzXYbtVfJFU5RV1ZTPOz+GiHo60ON7RW9ol3z2UQcN5giIgiwYp2Po0x84HGqnYMoacFmElkvVOYAGQsqYqRqkQdIU0SHJRJimMU83HS6ev/+/SgqCIf5yQMtYJnPJuJ3FJG4wiZmJlJmrWDpLta/QTqayVXGCUsz36naXLg/eVLNP8ELuM4BYKmMQIEA8WUjUiwBYrF0BbOz0jOaugFlDWYPAppJ+KGYUpr/C28ftWS/o7cKJdNP3KNF3XMT9yJX6WYXJWPkjepETEGuIovKiQk2p6Eoam8OQhQ4A+AXCl/QHHbRu7D85tnXD2nzJneHCU96R4e0yd+QIYeUv2pXv1KrWxXb7Tbz+YkshJnBcrT08AezqX78+LG8ufyQf0XoPD6tFYSlefLkvkvJomD6cPTw99WrV/QSh9cPhPE4otsxbeCb9+rLjsbiCEA6xOgYZ5XCScTwZZYVsfTpgn7Dm8Whx/lsIlVmEnrZxxhmscjl4VAnGyIdrSEszb0hL7dzXZSzeP9epwBQaTOpvHv3bp3iHVwqJnJGEzO6TkuYvQpaIUYZRvPZs2dDQJH9zZs3B4dxGZuYQdeGvXw0GSNNWbgkQ7rpJR2lE9QQlsYsyoTJJnRew0Z1J898jtxpDM6atZ+9DfzBYuMeNmes3ggV3/v379fcupllm89PxPBl916+eqxVHz58qJb3OiPjpKPjhKWUqXlSq3IuXB7d5MUg53HstuiJluoza2Jt1TF5BD4cggGOmH99rRkBhhUL4fyGALqjMxfvDPAwFsv0drKw77Tmds0qmzwmqmy1ZzlUDjNVblgchhS+oQyWNoPzGUve8s/nMJnMXnlj4zlXl8924rnSx+lBSIhsPmPJwIZGrt1JLil/hj58iXhXzRvTfJxDqjqNmvzOTX4eA2H9B2jXQ6/bbczHMusMFJU5YEFz3A1pc0iPUKBjQBxBy26jETAC0xGYbz9xuozOaQSMgBGYCwHbxLmQdj1GwAhsAQHbxC1oyTIaASMwFwK2iXMh7XqMgBHYAgK2iVvQkmU0AkZgLgRsE+dC2vUYASOwBQTM27cFLVlGI2AEroaAPlqJy+9sXw3p0YL9gnFz3A1pc0iPUKDf2T6Clt1GI2AEpiPg/cTp2DmnETAC+0PgijZRvDnjoS4LQImdc2FsywmVXkjRd7nM++tVbpER2C4Cl9rELq0odnDO4KzY0Dmr266mJ0sumhpCh00uwRmvjcAQb5/q1a+FDDmy8oWOyLVbN3P5l9rEQlygJzDR5PijZDQ53Mw9YLw6DCKR04q4zauS0MKM8PbJGnZj1/OcyMqKyCeqP5wbIykEWtpEGcTCqP3888/BLRugB9NA4VTGOlS+SfD5cdPL7ReqVRURA7W3UjydTHfbXbbr15gzh9gEY+JV+oLLaU8dSwaRBtoTX7NaR3j7II3A6hWhMNUW1KrI2wrY/OHDhzW3cVbZLowpGyRhCF2ErhSLQAS5BPdeejDSxHPSqBAZmhx3NgeVzDFlxUQRv1ZWqqixypWj2Cp7l1ww11ikCZnPCntJLWelnz+xVCAorh1ht0nr1g9pk2Z2C8mhl8MC5mRDPJeRBugOG1a2223a+InyI3qXvdD1ycbDmtJ73oJGh85hfvjhh975oZfbL6c8WSmEFXmBH5RmzKvYuC7/Qa4xT8uzTl/zVgYOGEQAmbda13Y2AjW8fSOFsmhjzjNjZUDUxiZCggOs3X3cIU1kdnm4ICp7QQ2333hRsXZmA2UoZV4nDtU4QvdT2ZaVJ9MuRBDPQuiBmur1u/LW7Uy8k7x94waRX3/66aedYXJJc9rYRLQCrJjFmo0nxhs+SPjqWpaevCq5/catcKzuC3KYnCv8x5Eaz3rB6GTTVphA+1Bxxdp5haJaJBAY5+0bmf6Z3W0QC3za2EQVKnDxrWq66b1795Ts9evXNelJ08vtd+fOnfpTDsj5VNcQm21BUNdbY16qYN/ra69sppMZgckIdHn7eovSQo3lXewyTa5xfxlb2kTQwclinTX+qjY+CL5hUHTXuJaUzN4iC14tfrNFw0XVsj2fO3f1xHyIbxiLwSKBFoZc8IXHedxIjSE/vcrvqexvVGyuRbHJw9DIEQ30Lg69mhaph6tpr1694i/PYzepchhuDpkJAjsGxATQGmShLxbROBoUeuwiDOmx9T+x9d1u09hPnCiXsxkBI2AE1oGAbeI69GApjIARWAcCtonr0IOlMAJGYB0I2CauQw+WwggYgXUgYJu4Dj1YCiNgBNaBgG3iOvRgKYyAEVgHAraJ69CDpTACRmAdCNgmrkMPlsIIGIF1IGAu03XowVIYASOwEALmMl0I+P9frT+6aK4GQ9oc0iMU6O9YjqBlt9EIGIHpCHg/cTp2zmkEjMD+ENiPTVT4o6BkqVQVJC2Vwc16CzSRaSXOTmYEtoJAG5tY0Dk57tBW1D8iZ46FPmGy2QEC22pCpjPNnkHmg8stGqc/3Vbb20rbwCYSxpJAbDksMzZx95Go26phhaURYi9ioXND6EnrdIVqkkiMQRQUYzBYdFgGEdJUzwn6Gc4KqiS99Gsu01KtF/L2CeteQj6VnHkUMzdYfi5KgIKBr+Dwy+nFS6urYBEQz5wSRxbSF8miBHGeibqPKxoicr64suTFTwVbYZ4bRu4puTLlSpIhcJfOcCWyXd6HV9WQc4VRpPc8KKKETPKRk9GfM9vl+BA+V55tpe+OxAZ+4t27d4lT3cuZjX+uyNXAxIjiXr4GibmPMTbEBJCt0tdffy2ssV/MfjE9Enxbz7scAG/fvtVPBNnOhBWUAIlgFE5gcBVOCdGQTEiC1QvJM784WQ4SZFuc17du3Vqto3RkwWAzpx9G4PoIps1Yo0vfvn1b4IhYjcT8ZWjkDS6GcD0FyO6hbmATMTdMOzmOedhHQvMXNKEKek5Yf56Hh1/DkhO8pnCkBI3UixcvRtimhrgmnjx5kg0oJlKS0Gm4p7sUWn/06BFPPn78yN+DEJkGAlhDxhgTDxPY7tkKNzraoavPTmJeI2+0RcuK3cAm0gBIUcJhln0MsxhUJwytbImYmpq0HI6qynKYGIN0ZShLHvZ4o0pfOIOHMg3yr1Ec20/nnulX6sXJLkcgd9Fnz56hL2/+Tka1jU3M1WMf0RBzlx4W222MMT1///79ZKFzxqhovDRMG+tlGe68NVnkip7EaR2rid5V+QF7G9MAOn337l0TlbmQtggMUVdKazc3N6pO/VZ8mXBPxmJLgzHvJrUVb3OlNbCJmI/sQWQ6UFapLLvCiPCT/Eee4z9mA8RDqTY2HGs4QlEky2eBrlX5yEU/0K/d1bGe0wr2Fh8/fqx/o5doC0bXcYhMUWsoSJStwQS7uV6+b4HxQmhgbLJzwxaQVjP0YfbK1fznz59jIvUcy4hCNRjRMoMxRse+sapq3eVndl23Kx88Fae0sfHRPXfW+YmEFlmofEwZxziQ6R5PR5ZIpsKzGLk61aJfqSjDFLUUG45ZgMhCOSHkuWdthXjnZp8hfaHWlR86A8j6Ib2q1qIb0y1zRTGmCnzywJz27sRVmzNb4d1uYy7TqpmjeSIHLDCkzRFwgRMQcAyICaA5ixEwAgdCoMF+4oHQclONgBHYOwK2iXvXsNtnBIzAOQjYJp6DltMaASOwdwRsE/euYbfPCBiBcxCwTTwHLac1AkZg7wjYJu5dw26fETAC5yBgm3gOWk5rBIzA3hEwl+neNez2GQEjMIqAPoKKy9+xLNNf/B1Lc9wNaXNIj1Cgv2M5gpbdRiNgBKYj4P3E6dg5pxEwAvtDYDGbeCELKB5vL9vB/jTkFhkBIzAnAm1sYoSwVmDqCOU2Z0tcV3MEItI4Oj1gJN3meDYsMKtGgy74VUQXkS/pboScNpd2Cd15wwYuWFQbm0gDcgi2IcqqBdvpqs9FgHESkcYVs9Jm8VwMr5cerqEcYZCYnjlQdubkE0cbkoyQ04aiSUz87YP7NM1sYlZ/5h7IlNuZKkzpw8GMhTA3eYorInjHT1GdZr9IxiQZtVA12pUAmv24ybNo5FJKlZkLFC94iMS/xSS8YzPBxAbFmDCBMQKdnoxkfj0T4JJHEKBboixoWMZRQomKyM2lG9GucWUegqdPn+64V9d0pPY2UQyK4rrjgpMvJjSe5ykIWgJNUCILDW1FemY/qJH0XPSnEaa7pm2koa+IpzSoAeEqUPlUGoWPlwZloLJA7zfCiVop0kaTMdO0otDZKAKrFZupi86cqdMYJl3vIcs/Qk7LqDwUC1tXrc1sIlD2stzlKrFxeQoKRYroozs7iRpFz0V/eq62MmOqJAnfR1a7houukhN1tWNmmmDErA/+2GklONcMCOArQCIU1G/UmKftLq/pCDmtxi96H+rwMzRnDVU0s4l5PxEqj9h+yju7eG01bY7lduHHtaI/lQznmteQvIYTtaaZK0+DZ82SKtwNBl5b/Ffe/K2IxzJohOK8y2s6Qk6rxRDj4uDHLM1sYu5DsVuBF4ZxxET2EkL1djvtBip9wW/Vdu02bdMEG1HDibqVETUuJzYx9jFIGfsh+2jdDlqhXfjsJBaNih3D4vkIOa2YKXcAzuQmXMUmareC3TeJJUpZLnYPawR9+PChkmVCYR6Gm5nfTJS7FylZwtdUQRpRO0pICgnZeD5ewklO1EoBNpSMiWrCxsWGGrhRUdlhj72gaEI+yeTX4DUdIqfFccm7/GyYZKq/jSJzkdhyBCjiEvJAjEshRD4niZ/AOogWMwuo/EGdn2TfULqJc5XMdMrzcD8LWtR4EYH0jOTcrixk8b5C/KSViKg7s2AqZ4gT9Vz0LgT83OompM9srgH1hHJmy7J+SNtCISrdbpnZomVe0xFy2jx+CyrUtjKvsLRutzlWDAhWvvSMeCPhosnksswOWHAZfj25DWlzSI9QoGNAHEHLbqMRMALTEbjKfuJ0cZzTCBgBI7AoAsdaOy8K9f+r3Au95rowpM0hPUKBXjsfQctuoxEwAtMR8Np5OnbOaQSMwP4QsE3cn07dIiNgBKYjYJs4HTvnNAJGYH8I2CbuT6dukREwAtMRMJfpdOyc0wgYgR0goA/54vK7OMvo1C+ONMfdkDaH9AgF+l2cI2jZbTQCRmA6At5PnI6dcxoBI7A/BGwT96dTt8gIGIHpCCxvE7usjIrtHEESM8tVDvRWEDZ2CSjELVUEDdbD6YDtOmdBEJbbmulqFR/T17II0LGHFCGCgYJXI9OrheRDxKckyAPzUFzqy9vEYGVUfLeIsKaIXjnsNj8R+TVsXKQs4iSGvhUdk6DB00JqL9vjF6kdxCJaZabyYHRFdHESELj3UINkEV2MVCovYSgaNmYOIrYiO1nevHmTo6ZHgl7iU/RLCOcId0/w2hrmorUBNU2e5W3iiNwohhEYlHukxCbSFWrUgx0kJQbXJJz1PQOog6YGgrAIK0s08uAtIgEzzYcPH+qLdcq2CIgLsxvImVowiNi+IqA94wgaiTyOauSJN1QUi/7m5qYm1w7SrNomvn37Fm8lo6wBmTkJhnQAGbGirsNX2502d6C5azeBsPW9o44Jicnmzp071xbA5Z+LgDzEru1jHFFUbC4Vu0m9xKc57rKWWbdv3z5Xno2mX7VNHFrz1pBV0TmePHmCVmBWQus1ruVGVdhc7FiaZSp0agFDxhVkitAzrCFWefOGb7pAnEH6fKEytYhxxB5ULJxJE/vy48Snys62SZcTeNNYjQu/aps4RDd6klST0Ysd1LiVa/ny5csda7Ft07Q0Y3u3OIxiDaVxxdjzMUtbzC8vDWcwPD45+MxeYfvyUGIF0MsW1yU+pRCMKTbxUIzPq7aJMOQVlNDaJbx///54H5IFzNzEldTSl3fN3ZQgtsVe/5pBwqbVblq6j4bEWSWTljaCYViTLcMg1hwzdolPGUFsPR3KIALXqm0ijh4zXt7+YDTi9AVL6lBvxgKKeC8ftPmo9OTgzzSYbMiSXlDjFWb0gDf4Zk+W6QSLI8BxGZ5EaJBDZCydpBoiPtU+CYNohDx68XZdSwBZDUpfnGaweBcnv2oTjS+4SZWmeBeH3a4uxyMZ9bBgdKTk3jKvjcYaAO+2sTjRigSZ1xTJQfja+Ewof52QTmjIySwF/3JXHeEnRlGZIjinHyI+LXoC2O6V47TbbRwD4lqTzXi5DljQHHdD2hzSIxToGBBH0LLbaASMwHQEVr2fOL1ZzmkEjIARmISAbeIk2JzJCBiBnSJgm7hTxbpZRsAITELANnESbM5kBIzAThGwTdypYt0sI2AEJiFgmzgJNmcyAkZgpwiYt2+ninWzjIARqEMgoqIp+X9tYl1epzICRsAI7BwBr513rmA3zwgYgbMQsE08Cy4nNgJGYOcI/B8Lri8TcEIPDQAAAABJRU5ErkJggg==)
To find arithmetic mean of school wise savings in each mandal,
A common formula is:
![](data:image/png;base64,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)
In ‘Amberpet’:
![](data:image/png;base64,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)
⇒ Mean = Rs 359
In ‘Thriumalgiri’:
![](data:image/png;base64,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)
⇒ Mean = Rs 413
In ‘Saidabad’:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAApCAMAAAD9EdyuAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADpmADqQAGZmAGa2OgAAOgBmOjoAOjpmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZmY6ZpC2ZpDbZra2ZrbbZrb/kDoAkDo6kGY6kLaQkLbbkNu2kNv/tmYAtmY6tpA6ttv/tv//25A625Bm27Zm27aQ2/+22////7Zm/9uQ/9u2//+2///b3ELdwQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB80lEQVRYR+1W23KCQAzdRW23F0W0Vmhroa1YlMv+/981ycLK1B2xGB86Yx6A8ZLDnpOcRIhrHGNgE/PwkwVSDr8gVyopRjtRKHzweABSbyV0MlgLkYSAUii40oUpKn8CmcwVI0UoTgCTS0dADIZB4gQwGS1ASsRzAohkEAv9idIS0C3eCvWg5JBHY6FfoYjefEoscknq6pelKCOmKqLEhTIiJ7UU7c9YqslQb3Fqvc2pOKKqGaJ2wIOYUmpK92yITI1JYtsNCRyojGq0s9NDyaxMkryRtZyBUzyiffz/qHxpKhetkE2TNi+AQKUL94vkF9V0TsrkN8GlAN7RrXT0bAy3CKS3gLv+vpdyjL0vw43Cp55RTWPsjny0rX12KTIwYDCtncZqRt+KQaDeAwQA0KCSiWkS9JLaEdvDyTZlYqbiH+YhAEDC4m5NAHsUostOv/3AOiDKIjofIOUUCBjMJyY3Vi0EcKazGQzuZrweAeiSBgEKBWS3ToAagwauE/SiCJgHXyUASz+5ykkUdZ7Ar+vDsJDLpdCbBVltOUcNaEb1d15rFfiACFDz3hO09gd0wdaXIa5QYfNl19vS91z7nAOMdZ9zHYZ1WbkCnFQvv3/Eus+53oB/n3MrfZnBZbGaHawXyR1/4t7nDuB49znHaRz73A+CYi2HCwQU2AAAAABJRU5ErkJggg==)
⇒ Mean = Rs 195
In ‘Khairathabad’:
![](data:image/png;base64,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)
⇒ Mean = Rs 228
In ‘Secundrabad’:
![](data:image/png;base64,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)
⇒ Mean = Rs 200
In ‘Bahadurpura’:
![](data:image/png;base64,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)
⇒ Mean = Rs 837
For arithmetic mean of savings of all the school:
Mean of such ungrouped data is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ Mean = 444
Thus, arithmetic mean of savings of all the schools is Rs 444.
Question 6.The heights of boys and girls of IX class of a school are given below.
![](data:image/png;base64,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)
Compare the heights of the boys and girls
[Hint : Find median heights of boys and girls]
Answer:We have
![](data:image/png;base64,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)
We shall find median of the heights of the boys and girls separately.
Median of heights of boys:
Nxi = 37
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHYAAAAfCAMAAAAFgsmxAAAAAXNSR0IArs4c6QAAAJlQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OjoAOjo6OjpmOmZmOmaQOma2OpCQOpC2OpDbZgAAZgA6ZjoAZjo6ZpDbZrbbZrb/kDoAkDo6kGY6kLaQkLbbkNv/tmYAtmY6tpA6ttv/tv+2tv/btv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///bwMQJ4wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB60lEQVRIS+WW3VLCMBCFk4LaiApKQfmpJIhaqKRN3v/h3CTAlE5S2DJy4144zpCzX85mNykh/yoKRoeEZLTzfV3b0hD1fBqg6mUc3s+6R6M3+LkcU9rfovYtn2cxYHlNpGd2I+uncRir5wuyiTjRsyEpEygaImQs6TSIhfo3uAVMcc+JSmCLonldfUcyJqLzVXHr9Du3p7BlOjFrB9vSoBEBWJW8HBdZJdSGydToVtAuYO3ZDpBnC+Zk9MBNN38mEZcU45bkbErUeAKO0UUGjWkMEesl7N3Z2xdZi7ugDTXipABswdBYN7emMRy8hs1MrYM9umZugDbsxADlr25ScjiNm9VxC+i0ZwAnWhfRNvulcPTuNsqiBRT1+GaCIVLJocgtsockRX+VWZSys+3+HkLQoaQRh6rjRuGcDTqs6QNzlre4pj8H4F9TdYvFCjfMELb1AuFd5bBwL8HAfFBwe0jV9E+AUJM0FGOH1Sk08nuCm/D2NSY7rM1QMNyjcXmRLTZrOqILrHmkFbfqejWuOMwZ8s1o7V+ncHfSrrlFC/a4aJ3nD4Q/5unE5EULfMnVyH0enR1oQTCzfQUxgRZ4k2e4cYZJxAp82A3qaCEDWuCjZlgqWuCjSqBKzIOLFng72X6qIrDu2xYhsNRfNa4rPAV9BrQAAAAASUVORK5CYII=)
Cumulative frequency = 19 falls in the height of 147 cm.
Thus, median height of boys is 147 cm.
Now, median of heights of girls:
Nyi = 29
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Cumulative frequency = 15 falls in the height of 18.
Cumulative frequency, 18 falls in the height of 152 cm.
∴ Median height of boys is 147 cm whereas median height of girls in the class is 152 cm.
Question 7.Centuries scored and number of cricketers in the world are given below.
![](data:image/png;base64,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)
Find the mean, median and mode of the given data.
Answer:We have
![](data:image/png;base64,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)
For mean:
Mean is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ Mean = 11.19
For median:
Total observation, N = 139
Since, N is odd (that is, 139 is odd),
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Cumulative frequency = 79 is just greater than 70.
And cumulative frequency, 79 falls in no. of century, 10.
⇒ Median = 10
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 56 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘number of centuries’, 5 is the mode.
⇒ Mode = 5
Question 8.On the occasion of New year’s day a sweet stall prepared sweet packets. Number of sweet packets and cost of each packet are given as follows.
![](data:image/png;base64,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)
Find the mean, median and mode of the data.
Answer:We have
![](data:image/png;base64,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)
For mean:
Mean is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ Mean = 80
For median:
Total observation, N = 150
Since, N is even (that is, 150 is even),
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
& ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Cumulative frequencies = 88 is just greater than 75 and 76.
And cumulative frequencies, 75 and 76 falls in cost of packet, ‘75.
⇒ Median = 75
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 36 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘cost of packet’, 50 is the mode.
⇒ Mode = 50
Question 9.The mean (average) weight of three students is 40 kg. One of the students Ranga weighs 46 kg. The other two students, Rahim and Reshma have the same weight. Find Rahims weight.
Answer:Given: Mean of three students = 40 kg
The three students are Ranga, Rahim and Reshma, where
Ranga’s weight = 46 kg
Let Rahim’s weight = x
And Reshma’s weight = y [∵ Rahim’s weight = Reshma’s weight, according to the question]
Mean is given by
![](data:image/png;base64,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)
⇒
[∵ Mean = 40]
⇒ 120 = 46 + 2x
⇒ 2x = 120 – 46 = 74
⇒ x = 74/2
⇒ x = 37
Thus, Rahim’s weight = 37 kg
Question 10.The donations given to an orphanage home by the students of different classes of a secondary school are given below.
![](data:image/png;base64,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)
Find the mean, median and mode of the data.
Answer:We have
![](data:image/png;base64,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)
For mean:
Mean is given by
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAAeCAMAAABuQXL6AAAAAXNSR0IArs4c6QAAAIdQTFRFAAAAAAAAAAA6AABmADo6ADqQAGZmAGa2OgAAOgA6OgBmOjoAOjpmOmZmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZmY6ZpC2ZpDbZra2ZrbbZrb/kDoAkGY6kNu2kNv/tmYAtmY6tv//25A625Bm27Zm27aQ2/+22////7Zm/9uQ/9u2//+2///bcIFzGwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABq0lEQVRIS+WV21KDQAyGs60VPBaKtQJaLD3Awr7/8/knyyLOiCPtXjhjLhoK7Ef2T7Ih+n+mEzXbEJlXcb2/VIg2TkmHGZVBpW+2ZP2lUKyv5zuiImrjjEwekfUeuBxkkwftCrEWAVnvgUulUg9J5J+L2AD1rgOwTRJh7wubN/GQWalM1MB28PQMM/lVyjGj3AYe4EXFt+MzsSORtKv1DNFTfc2b8Wft6i0G0OQv7Ii67iFzuFNqie9Bp33IV9MMqSxQ2fXiJFwdpnRE95g8qEzBO9Hh/Rbi2yT83sCtsYgbhrnIJjPtem5P99OJVChnot64gQuOvt0J9xP+lWvvf2v9h4YXUtJUztfc2MKVpxDGHJ9CKUEJ+gfuyOeYq0NsahAvXmV9Bzr03Ck6yHlhub20tU3ZBfHiXBOzIdUqJbPfABlRs2YuZ1X+TrK+j/mC16JWZ89owHdU7ylWmWaV3cNJ6D/8cpMo9YhNuhnnKVSePw2nx804T1w+02UGdTPOExbVuawaMN0s8sXFwED1VN65bYKix2HlWwc+XKVT3YzzJcQBzcN15mYcfQAF8S23HtpnrQAAAABJRU5ErkJggg==)
⇒ Mean = 11.25
For median:
Total observation, N = 80
Since, N is even (that is, 80 is even),
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
& ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Cumulative frequencies = 50 is just greater than 40 and 41.
And cumulative frequencies, 50 falls in donation by each student, 10.
⇒ Median = 10
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 20 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘donation by each student’, 10 is the mode.
⇒ Mode = 10
Question 11.There are four unknown numbers. The mean of the first two numbers is 4 and the mean of the first three is 9. The mean of all four number is 15, if one of the four number is 2 find the other numbers.
Answer:Given: There are 4 unknown numbers, but one of the number is 2.
Let x1 = 2, x2 = ?, x3 = ? and x4 = ?
According to the question, mean of first two numbers = 4
Mean of first two numbers is given by,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAAApCAMAAAALUcxaAAAAAXNSR0IArs4c6QAAAMxQTFRFAAAAAAAAAAA6AABYAABmADo6ADpmADqQAGZmAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmZYOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZjqQZmY6ZoFmZpC2ZpDbZra2ZrbbZrb/kDoAkDo6kDpmkGYAkGY6kJBmkLbbkNu2kNvbkNv/tmYAtmY6tmZmtpA6ttvbttv/tv+2tv/btv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bZ4ZtqwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAD+UlEQVRoQ+2abUPTMBDHkzpBKSrIXBEUH8ZQRNepKIHp+vT9v5P/u0vSbaxa3EBs6YsZtuQu98vlcpeq1N1zR+AfEiiOte6Rft+41skY3Tm7VgUi/OKx1vf7tRUVgw1liAI3nurD2iP/sqO5CQomOIFB65O6c0xDazc3kgUU0s2hFVa26kpf0O8mKNCKKpVu16bg7V4EgI1IAkehbN16CtYNEo3JpyHWNtH68DzUXcUfbln3tN4+hYmhxs9kKzVeUVv6B8PsSOugOxnhe9nL3LqHgQBNKwrpUJZaSQzMqUKrSr3pfD/WwRvqjqHUmFO4BGE/1Oiu+IGhJeQFTsOtoTJ660S+Y/1hX2UDsm3WF3hboH9/vPkJ26p4DzPnfIG3WzEgwQlB8JJELqvCb5XqTbBzKl1o6HiBwlVgGOngNXHgyVsKrBIh0AeBmPfNTCSY66ryiAZga83vCLIvf7FHDoEepSSh4FRVqmc8eYThMeNEg+dWKlwFBZXt6zVa5HkKPD8JhWyhfC70Be410ltf2c3n4gIJSXoGnnIEHKUkT0HkVqmX6AgCMpRQ2Gk5hSuhoOBmzpGnF/gSBV6Hagp05nqcPDPhQcNGQ7RTRBkxRWKy84XaFCjOUMhxi2MVrogCx66lfQGTGYfEaf6MMJ1vL7GShwZcl/YFz45tZ4XLP/lz8rc/UZCEojou0I7g05b89RKFJPhAAeHhO6iaklTXFyQu9EoHsr7gFa6AQrQxURnFnjTsThAiXCpkoyPnyrQPejgjCMXsjuC/5CsO/hQDaeRnPltsK4/IEEMH5rQk+asMxBXqMW5SfJGo0VfFOR+VMwqXp6AunuCU50OCDosfSBhwrE9/iI4LfElHKs5qSRe54bsCVnaELjtWkM0vIZJa5CHlZraSBBOE5BEXJlXqzTMULmtMFQkMTZVGzShcAYY7Ec0gQM4kzmdsudsMu65oBTBwHYB/bRy7ooBGdM93D/h0Th7stZrCR0rGisFbzslc1aUKujtBqlYWbY1Y9Aoj8t1hTHnf+k+m4KouZKiTIiYvKYu2BmMABUoh4l5Zaszm6GXRRhRizsTp8VluE+CAAqxOH50xhRKFpCSuHpLvFz4ey//bgN27uKToHPQEAB2cUnUV431KyyyK31BogiswhRS3XY6CXXOKC4t8obk7Qq5veLl9SOCyrtaOaIYvRLZuEad3VRcVc9mBvyCTG6rGPj6DtnWZq7ro+rf7M7JFn/uxsRhut2HFGLfuUhS3+IlxLZJFN/GG7TZD5lt3fpXQ+qfyTV6ryFCd0/rHv95qM4li0OhUpd7S+my2XveG9opRz7T+wStapPUt3xP8P3qKuOUUbCF/zRR+AYk0vrHGLKsfAAAAAElFTkSuQmCC)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAeCAMAAACrM+hrAAAAAXNSR0IArs4c6QAAAHtQTFRFAAAAAAAAAAA6ADo6ADpmADqQAGa2OgAAOgA6OjoAOjqQOma2OpDbZgAAZgA6ZgBmZjoAZjpmZmZmZmaQZma2ZpDbZrb/kDoAkDo6kLbbkLb/kNv/tmYAttv/tv//25A625Bm27Zm29u22////7Zm/7aQ/9uQ//+2///bhwV/pAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABAklEQVRIS9WU3RKCIBSEoSwrtezXSgtNAt7/CTsCmuPUhMe66Fw5DnzuLriE/MHcYkqDATrl8kSKUVoRVHJAgsSsBSj8USr8SdmHxUK92irgk5IFvfYXVQQyonrABRvv+3yesDrCOoN8DgbUkVLv6gLisJ/r9CzgflaJd5Gri4yNNdBkUn45RnoLkPtTldEqRLm2CgTk6qKls0ZsbZIy2mAAfFcKE2YWcgRAW9MZ8EWJATR+5DIlLUBmThvGUZVKQAYA2Ltr3gBfPsDe+j32P9FWhljoAhD34cNNdCFCDo6Ru9B+uuaL9YjXaesRD7D1iAboehwwTT0iGc96xAFa9dgAHqy0EXsEzmdxAAAAAElFTkSuQmCC)
⇒ 8 = 2 + x2
⇒ x2 = 8 – 2 = 6
We have x1 = 2 and x2 = 6. …(i)
Also, according to the question, mean of first three numbers = 9
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒
[from (i)]
⇒ 27 = 8 + x3
⇒ x3 = 27 – 8
⇒ x3 = 19
We have now, x1 = 2, x2 = 6 and x3 = 19 …(ii)
Also, according to the question, mean of all four numbers = 15
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⇒ 60 = 2 + 6 + 19 + x4 [from (ii)]
⇒ 60 = 27 + x4
⇒x4 = 60 – 27
⇒x4 = 33
Thus, we have x1 = 2, x2 = 6, x3 = 19 & x4 = 33.
Weights of parcels in a transport office are given below.
Find the mean weight of the parcels.
Answer:
Given is the frequency distribution table for ungrouped data.
We have
⇒ 25 number of parcels have weight each 50 kg,
34 number of parcels have weight each 65 kg,
And so on…
This also implies that,
Total weight of 25 parcels = 1250,
Total weight of 34 parcels = 2210,
And so on…
Mean of such ungrouped data is given by
⇒
⇒ [∵ ∑xifi = 17000 & ∑fi = 200]
⇒ Mean = 85
Thus, mean weight of the parcel is 85 kg.
Question 2.
Number of families in a village in correspondence with the number of children are given below:
Find the mean number of children per family.
Answer:
Given is the frequency distribution table for ungrouped data.
We have
⇒ 11 families each have no children,
25 families each have 1 child,
And so on…
This also implies that,
Total number of children of 11 families = 0 × 11 = 0,
Total number of children of 25 families = 1 × 25 = 25,
And so on…
Mean of such ungrouped data is given by
⇒
⇒ [∵ ∑xifi = 144 & ∑fi = 84]
⇒ Mean = 1.7143
Thus, mean number of children per family is 1.7143.
Question 3.
If the mean of the following frequency distribution is 7.2 find value of ‘K’.
Answer:
Given is the frequency distribution table for ungrouped data.
We have
Mean of such ungrouped data is given by
⇒
⇒ [∵ Mean = 7.2]
⇒ 7.2(40 + K) = 260 + 10K
⇒ 288 + 7.2K = 260 + 10K
⇒ 10K – 7.2K = 288 – 260
⇒ 2.8K = 28
⇒ K = 28/2.8
⇒ K = 10
Thus, K = 10.
Question 4.
Number of villages with respect to their population as per India census 2011 are given below.
Find the average population in each village.
Answer:
Given is the frequency distribution table for ungrouped data.
We have
⇒ 20 villages each have 12k population,
15 villages each have 5k population,
And so on…
This also implies that,
Total population of 20 villages = 12 × 20 = 240,
Total population of 15 villages = 5 × 15 = 75,
And so on…
Mean of such ungrouped data is given by
⇒
⇒ [∵ ∑xifi = 2571 & ∑fi = 145]
⇒ Mean = 17.731
⇒ Mean = 17.731 × 1000
⇒ Mean = 17731
Thus, average population in each village is 17731.
Question 5.
AFLATOUN social and financial educational program intiated savings program among the high school children in Hyderabad district. Mandal wise savings in a month are given in the following table.
Find arithmetic mean of school wise savings in each mandal. Also find the arithmetic mean of saving of all schools.
Answer:
Given is the frequency distribution table for ungrouped data.
We have
To find arithmetic mean of school wise savings in each mandal,
A common formula is:
In ‘Amberpet’:
⇒ Mean = Rs 359
In ‘Thriumalgiri’:
⇒ Mean = Rs 413
In ‘Saidabad’:
⇒ Mean = Rs 195
In ‘Khairathabad’:
⇒ Mean = Rs 228
In ‘Secundrabad’:
⇒ Mean = Rs 200
In ‘Bahadurpura’:
⇒ Mean = Rs 837
For arithmetic mean of savings of all the school:
Mean of such ungrouped data is given by
⇒
⇒ Mean = 444
Thus, arithmetic mean of savings of all the schools is Rs 444.
Question 6.
The heights of boys and girls of IX class of a school are given below.
Compare the heights of the boys and girls
[Hint : Find median heights of boys and girls]
Answer:
We have
We shall find median of the heights of the boys and girls separately.
Median of heights of boys:
Nxi = 37
⇒
Cumulative frequency = 19 falls in the height of 147 cm.
Thus, median height of boys is 147 cm.
Now, median of heights of girls:
Nyi = 29
⇒
Cumulative frequency = 15 falls in the height of 18.
Cumulative frequency, 18 falls in the height of 152 cm.
∴ Median height of boys is 147 cm whereas median height of girls in the class is 152 cm.
Question 7.
Centuries scored and number of cricketers in the world are given below.
Find the mean, median and mode of the given data.
Answer:
We have
For mean:
Mean is given by
⇒
⇒ Mean = 11.19
For median:
Total observation, N = 139
Since, N is odd (that is, 139 is odd),
⇒
⇒
Cumulative frequency = 79 is just greater than 70.
And cumulative frequency, 79 falls in no. of century, 10.
⇒ Median = 10
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 56 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘number of centuries’, 5 is the mode.
⇒ Mode = 5
Question 8.
On the occasion of New year’s day a sweet stall prepared sweet packets. Number of sweet packets and cost of each packet are given as follows.
Find the mean, median and mode of the data.
Answer:
We have
For mean:
Mean is given by
⇒
⇒ Mean = 80
For median:
Total observation, N = 150
Since, N is even (that is, 150 is even),
⇒
&
⇒
Cumulative frequencies = 88 is just greater than 75 and 76.
And cumulative frequencies, 75 and 76 falls in cost of packet, ‘75.
⇒ Median = 75
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 36 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘cost of packet’, 50 is the mode.
⇒ Mode = 50
Question 9.
The mean (average) weight of three students is 40 kg. One of the students Ranga weighs 46 kg. The other two students, Rahim and Reshma have the same weight. Find Rahims weight.
Answer:
Given: Mean of three students = 40 kg
The three students are Ranga, Rahim and Reshma, where
Ranga’s weight = 46 kg
Let Rahim’s weight = x
And Reshma’s weight = y [∵ Rahim’s weight = Reshma’s weight, according to the question]
Mean is given by
⇒ [∵ Mean = 40]
⇒ 120 = 46 + 2x
⇒ 2x = 120 – 46 = 74
⇒ x = 74/2
⇒ x = 37
Thus, Rahim’s weight = 37 kg
Question 10.
The donations given to an orphanage home by the students of different classes of a secondary school are given below.
Find the mean, median and mode of the data.
Answer:
We have
For mean:
Mean is given by
⇒
⇒ Mean = 11.25
For median:
Total observation, N = 80
Since, N is even (that is, 80 is even),
⇒
&
⇒
Cumulative frequencies = 50 is just greater than 40 and 41.
And cumulative frequencies, 50 falls in donation by each student, 10.
⇒ Median = 10
For mode:
Mode is the value having highest frequency in the data.
From the table given above, 20 is the greatest frequency in the given frequencies.
Thus, the corresponding value in ‘donation by each student’, 10 is the mode.
⇒ Mode = 10
Question 11.
There are four unknown numbers. The mean of the first two numbers is 4 and the mean of the first three is 9. The mean of all four number is 15, if one of the four number is 2 find the other numbers.
Answer:
Given: There are 4 unknown numbers, but one of the number is 2.
Let x1 = 2, x2 = ?, x3 = ? and x4 = ?
According to the question, mean of first two numbers = 4
Mean of first two numbers is given by,
⇒
⇒
⇒ 8 = 2 + x2
⇒ x2 = 8 – 2 = 6
We have x1 = 2 and x2 = 6. …(i)
Also, according to the question, mean of first three numbers = 9
⇒
⇒ [from (i)]
⇒ 27 = 8 + x3
⇒ x3 = 27 – 8
⇒ x3 = 19
We have now, x1 = 2, x2 = 6 and x3 = 19 …(ii)
Also, according to the question, mean of all four numbers = 15
⇒
⇒ 60 = 2 + 6 + 19 + x4 [from (ii)]
⇒ 60 = 27 + x4
⇒x4 = 60 – 27
⇒x4 = 33
Thus, we have x1 = 2, x2 = 6, x3 = 19 & x4 = 33.