Statistics
Class 8th Mathematics (new) MHB Solution
Class 8th Mathematics (new) MHB Solution
Practice Set 11.1- The following table shows the number of saplings planted by 30 students. Fill in the…
- The following table shows the electricity (in units) used by 25 families of Eklara…
- The number of members in the 40 families in Bhilar are as follows:1, 6, 5, 4, 3, 2, 7,…
- The number of Science and Mathematics projects submitted by Model high school, Nandpur…
Practice Set 11.2- Observe the following graph and answer the questions.(1) State the type of the…
- The number of boys and girls, in std 5 to std 8 in a Z.P. school is given in the table.…
- In the following table the number of trees planted in the year 2016 and 2017 in four…
- Q4Practice In the following table, data of the transport means used by students in the 8th…
Practice Set 11.3
- The following table shows the number of saplings planted by 30 students. Fill in the…
- The following table shows the electricity (in units) used by 25 families of Eklara…
- The number of members in the 40 families in Bhilar are as follows:1, 6, 5, 4, 3, 2, 7,…
- The number of Science and Mathematics projects submitted by Model high school, Nandpur…
- Observe the following graph and answer the questions.(1) State the type of the…
- The number of boys and girls, in std 5 to std 8 in a Z.P. school is given in the table.…
- In the following table the number of trees planted in the year 2016 and 2017 in four…
- Q4Practice In the following table, data of the transport means used by students in the 8th…
Practice Set 11.1
Question 1.The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴ The average number of trees planted [ ].
Answer:![](data:image/png;base64,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)
Formula Mean ![](data:image/png;base64,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)
Where, xi = score ; fi = frequency ; N = total frequency.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 2.8
∴ The average no. of trees planted is 2.8.
Question 2.The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.
![](data:image/png;base64,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)
(1) How many families use 45 units electricity?
(2) State the score, the frequency of which is 5.
(3) Find N and Σ fixi
(4) Find the mean of electricity used by each family in the month of May.
Answer:![](data:image/png;base64,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)
From the given table it can be seen that 7 number of families consumed 30 units of electricity, 2 families consumed 45 units of electricity, similarly, 8,5 and 3 number of families consumed 60, 75, and 90 units of electricity respectively.
Further moving on to the questions,
(1) 2, because in the table provided,
xi= 45, f is 2.
(2) 75, because in the table provided xi for fi = 5 is 75.
(3) From the table,
N = Σ fi
= 7 + 2 + 8 + 5 + 3
= 25.
Σ fixi= 210+90+480+375+270
= 1425.
(4) From the table,
Σ fi xi = 1425
Σ fi = 25
Formula
Where, xi = score ; fi = frequency ; N = total frequency
∴ Mean ![](data:image/png;base64,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)
= 1425/25
= 57.
Question 3.The number of members in the 40 families in Bhilar are as follows:
1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.
Answer:1. Write the scores in the 1st column, in ascending order as x1< x2< x3...
2. Write the tally marks in the next column.
3. Count the tally marks of scores and write the frequency of the score, denoted as fi.
4. Write the sum of all frequencies below the frequency column.
5. The total frequencies are denoted by ‘N’.
6. In the last column write the products fi.xi. Find Σ fi xi.
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)
Formula
Where, xi = score ; fi = frequency ; N = total frequency.
∴ Mean ![](data:image/png;base64,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)
= 156/40
= 3.9
Question 4.The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exhibition is :
2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.
Answer:1. Write the scores in the 1st column, in ascending order as x1< x2< x3...
2. Write the tally marks in the next column.
3. Count the tally marks of scores and write the frequency of the score, denoted as fi
4. Write the sum of all frequencies below the frequency column.
5. The total frequencies are denoted by ‘N’.
6. In the last column write the products
Find
fi xi
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)
Formula
Where, xi = score ; fi = frequency ; N = total frequency
Mean ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 2.75
The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.
∴ The average number of trees planted [ ].
Answer:
Formula Mean
Where, xi = score ; fi = frequency ; N = total frequency.
= 2.8
∴ The average no. of trees planted is 2.8.
Question 2.
The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.
(1) How many families use 45 units electricity?
(2) State the score, the frequency of which is 5.
(3) Find N and Σ fixi
(4) Find the mean of electricity used by each family in the month of May.
Answer:
From the given table it can be seen that 7 number of families consumed 30 units of electricity, 2 families consumed 45 units of electricity, similarly, 8,5 and 3 number of families consumed 60, 75, and 90 units of electricity respectively.
Further moving on to the questions,
(1) 2, because in the table provided, xi= 45, f is 2.
(2) 75, because in the table provided xi for fi = 5 is 75.
(3) From the table,
N = Σ fi
= 7 + 2 + 8 + 5 + 3
= 25.
Σ fixi= 210+90+480+375+270
= 1425.
(4) From the table,
Σ fi xi = 1425
Σ fi = 25
Formula
Where, xi = score ; fi = frequency ; N = total frequency
∴ Mean
= 1425/25
= 57.
Question 3.
The number of members in the 40 families in Bhilar are as follows:
1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.
Answer:
1. Write the scores in the 1st column, in ascending order as x1< x2< x3...
2. Write the tally marks in the next column.
3. Count the tally marks of scores and write the frequency of the score, denoted as fi.
4. Write the sum of all frequencies below the frequency column.
5. The total frequencies are denoted by ‘N’.
6. In the last column write the products fi.xi. Find Σ fi xi.
Formula
Where, xi = score ; fi = frequency ; N = total frequency.
∴ Mean
= 156/40
= 3.9
Question 4.
The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exhibition is :
2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.
Answer:
1. Write the scores in the 1st column, in ascending order as x1< x2< x3...
2. Write the tally marks in the next column.
3. Count the tally marks of scores and write the frequency of the score, denoted as fi
4. Write the sum of all frequencies below the frequency column.
5. The total frequencies are denoted by ‘N’.
6. In the last column write the products Find
fi xi
Formula
Where, xi = score ; fi = frequency ; N = total frequency
Mean
= 2.75
Practice Set 11.2
Question 1.Observe the following graph and answer the questions.
![](data:image/jpeg;base64,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)
(1) State the type of the graph.
(2) How much is the savings of Vaishali in the month of April?
(3) How much is the total of savings of Saroj in the months March and April?
(4) How much more is the total savings of Savita than the total savings of Megha?
(5) Whose savings in the month of April is the least?
Answer:(1) The graph given in the question is a sub-divided bar graph.
(2) According to the graph, savings of Vaishali in the month of April is Rs. 400.
(3) According to the graph,
Savings of Saroj in the month of April = Rs. 400
Savings of Saroj in the month of March = Rs. (800-400)
= Rs. 400
The total of savings of Saroj in the months March and April = Rs (400+400)
= Rs 800
(4) According to the graph,
Savings of Savita in the month of April = Rs. 600
Savings of Savita in the month of March = Rs. (1000-600)
= Rs. 400
The total of savings of Savita in the months March and April = Rs. (600+400)
= Rs. 1000.
Again,
Savings of Megha in the month of April = Rs. 200
Savings of Megha in the month of March = Rs. (500-200)
= Rs. 300
The total savings of Megha in the months March and April =Rs. (200+300)
= Rs. 500
Clearly,
the total savings of Saroj is greater than Megha
The difference of their savings = Rs. (1000-500)
= Rs. 500
∴ The total savings of Saroj is Rs. 500 more than that of Megha.
Question 2.The number of boys and girls, in std 5 to std 8 in a Z.P. school is given in the table. Draw a subdivided bar graph to show the data.
(Scale : On Y axis, 1cm= 10 students)
![](data:image/png;base64,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)
Answer:(1) Draw the X- axis and Y- axis on a graph paper.
(2) Mark students on X-axis, keeping equal distances between two consecutive bars.
(3) Show a number of students i.e., boys and girls on Y - axis with the scale 1cm = 10 students.
(4) Show the number of boy students of class 5 by a part of the bar by some mark.
(5) Obviously, the remaining part of the bar will represent the girl students. Show this part by another mark.
(6) Similarly, draw the sub divided bars for the different classes.
(7) Following the above steps, the given information is shown by subdivided bar diagram, in the adjacent figure.
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)
Question 3.In the following table the number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph.
![](data:image/png;base64,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)
Answer:(1) Draw the X- axis and Y- axis on a graph paper.
(2) Write the names of towns on X-axis, keeping equal distances between two consecutive bars.j
(3) Show number of trees planted with the scale 1cm = 100 trees.
(4) Mark the no. of trees planted in 2016 in the town Karjat.
(5)Show the number of trees planted in 2016 by a part of the bar by
some mark.
(6) Obviously, the remaining part of the bar will represent trees planted in the year 2017. Show this part by another mark.
(7) Similarly draw the subdivided bars for the towns Wadgaon, Shivapur, and Khandala.
(8) Following the above steps, the given information is shown by
subdivided bar diagram, in the adjacent figure.
![](data:image/jpeg;base64,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)
Question 4.In the following table, data of the transport means used by students in the 8th standard for commutation between home and school is given.
Draw a subdivided bar diagram to show the data.
(Scale : On Y axis : 1 cm = 500 students)
![](data:image/png;base64,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)
Answer:(1) Draw the X- axis and Y- axis on a graph paper.
(2) Write the names of towns on X-axis, keeping equal distances between two consecutive bars.
(3) Show number of students taking the different mean of commutation on Y - axis with the scale 1cm = 500 students.
(4) Draw the graphics for the town, Paithan.
(5) Show the number of students using cycle by a part of the bar by
some mark.
(6) Again show the number of students using bus or auto by a part of the bar by some mark.
(7) The remaining part of the bar will represent the students going on foot. Show this part by another mark.
(8) Similarly draw the sub divided bars for the towns Yeola, Shahpur.
(9) Following the above steps, the given information is shown by subdivided bar diagram, in the adjacent figure.
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Observe the following graph and answer the questions.
(1) State the type of the graph.
(2) How much is the savings of Vaishali in the month of April?
(3) How much is the total of savings of Saroj in the months March and April?
(4) How much more is the total savings of Savita than the total savings of Megha?
(5) Whose savings in the month of April is the least?
Answer:
(1) The graph given in the question is a sub-divided bar graph.
(2) According to the graph, savings of Vaishali in the month of April is Rs. 400.
(3) According to the graph,
Savings of Saroj in the month of April = Rs. 400
Savings of Saroj in the month of March = Rs. (800-400)
= Rs. 400
The total of savings of Saroj in the months March and April = Rs (400+400)
= Rs 800
(4) According to the graph,
Savings of Savita in the month of April = Rs. 600
Savings of Savita in the month of March = Rs. (1000-600)
= Rs. 400
The total of savings of Savita in the months March and April = Rs. (600+400)
= Rs. 1000.
Again,
Savings of Megha in the month of April = Rs. 200
Savings of Megha in the month of March = Rs. (500-200)
= Rs. 300
The total savings of Megha in the months March and April =Rs. (200+300)
= Rs. 500
Clearly,
the total savings of Saroj is greater than Megha
The difference of their savings = Rs. (1000-500)
= Rs. 500
∴ The total savings of Saroj is Rs. 500 more than that of Megha.
Question 2.
The number of boys and girls, in std 5 to std 8 in a Z.P. school is given in the table. Draw a subdivided bar graph to show the data.
(Scale : On Y axis, 1cm= 10 students)
Answer:
(1) Draw the X- axis and Y- axis on a graph paper.
(2) Mark students on X-axis, keeping equal distances between two consecutive bars.
(3) Show a number of students i.e., boys and girls on Y - axis with the scale 1cm = 10 students.
(4) Show the number of boy students of class 5 by a part of the bar by some mark.
(5) Obviously, the remaining part of the bar will represent the girl students. Show this part by another mark.
(6) Similarly, draw the sub divided bars for the different classes.
(7) Following the above steps, the given information is shown by subdivided bar diagram, in the adjacent figure.
Question 3.
In the following table the number of trees planted in the year 2016 and 2017 in four towns is given. Show the data with the help of subdivided bar graph.
Answer:
(1) Draw the X- axis and Y- axis on a graph paper.
(2) Write the names of towns on X-axis, keeping equal distances between two consecutive bars.j
(3) Show number of trees planted with the scale 1cm = 100 trees.
(4) Mark the no. of trees planted in 2016 in the town Karjat.
(5)Show the number of trees planted in 2016 by a part of the bar by
some mark.
(6) Obviously, the remaining part of the bar will represent trees planted in the year 2017. Show this part by another mark.
(7) Similarly draw the subdivided bars for the towns Wadgaon, Shivapur, and Khandala.
(8) Following the above steps, the given information is shown by
subdivided bar diagram, in the adjacent figure.
Question 4.
In the following table, data of the transport means used by students in the 8th standard for commutation between home and school is given.
Draw a subdivided bar diagram to show the data.
(Scale : On Y axis : 1 cm = 500 students)
Answer:
(1) Draw the X- axis and Y- axis on a graph paper.
(2) Write the names of towns on X-axis, keeping equal distances between two consecutive bars.
(3) Show number of students taking the different mean of commutation on Y - axis with the scale 1cm = 500 students.
(4) Draw the graphics for the town, Paithan.
(5) Show the number of students using cycle by a part of the bar by
some mark.
(6) Again show the number of students using bus or auto by a part of the bar by some mark.
(7) The remaining part of the bar will represent the students going on foot. Show this part by another mark.
(8) Similarly draw the sub divided bars for the towns Yeola, Shahpur.
(9) Following the above steps, the given information is shown by subdivided bar diagram, in the adjacent figure.
Practice Set 11.3
Question 1.Show the following information by a percentage bar graph.
![](data:image/png;base64,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)
Answer:First of all we prepare a table as follows:
![](data:image/png;base64,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)
(2) In a percentage bar graph, all bars are of height 100 units. In each bar, we show the percentage of students who secured grade A.
(3) Remaining part shows the percentage of students
who did not secure grade A?
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sQFqStUWfFRIZUpJ3kZoWRpMyPwO4Q1MlORn87UzK9QanaqDWa5S5dmqbR1UanFaGS62t5chxtROKNXy8nnG9Elx4lktJEaSSZqMSpNetZk9rU+DaOp1epwl1IpMsqVU3Zr69G2/KzEnJU0mLnMoJx1hpRpQ2yhKCUcgrrtesVY2TMpdRkWSozsuiIJumPrgNKcgoIiIksKNN7RERF3Ju8B+6jZCydYhLptWsvSJsRyVrq48mE042qRffpjSpJka7+/O8b/AKxlO2a6Xisu33MUrLej0l/Vn39mw81JZbkMqzm3UktB3XXpMryPvHgXNkoWpKaRLWRGZEpKmrlf1K9ZH+IlgIfUFOVpC1+Vgs3fZ6ga/KwWbvs9QTQAk47KXNkrycWqSqkS0EdEnEalKauT8QvvO5Zn+AwEPoRlO82trPUc/wB3WPnuL5qhyFJvWBSNa+Wo9zxAAAt5UwLJ7Oji2sslnloYW8otbuQg0kZ/JXv4jIv7ithZnZu89Fnfvfujw0dJ8ypuxFgzd0dzyi7UOKNq6/KwWbvs9QNflYLN32eoJoDkR1Yha/KwWbvs9QNflYLN32eoJoACFr8rBZu+z1A1+Vgs3fZ6gmgAIWvysFm77PUGK7f1ynIt3aRLzym1lV5hKQpBmaT0y7yO68u7+hmQ3CPnvlO85VrPXk/3hY93QWi6HSdJHBTNqSnZL1TPE03pKl0bRwRUSTm9s/RokbepXpX+CuQbepXpX+CuQ5EBZuKVS+aPxX0lc401z5YfB/Uddt6lelf4K5Bt6lelf4K5DkQDilUvmj8V9I401z5YfB/UfSHX5WCzd9nqBr8rBZu+z1BNAc8L8QtflYLN32eoGvysFm77PUE0ABC1+Vgs3fZ6ga/KwWbvs9QTQAELX5WCzd9nqDOPaPecetxBU5FdYMqU0Wa4aTM/jnu/yTMhpsZp7S/07geqGv1ngBUoAAAAAADR3ZwkvM2HnJbp0h8jqrp5zamyIviWe7ylEYtXX5WCzd9nqCsuzR9BJ/rd39FkW0AIWvysFm77PUDX5WCzd9nqCaAAha/KwWbvs9QNflYLN32eoJoACFr8rBZu+z1Bw2W2XIdyYVpC6XKZSerXrWpoyL5Q3/Csz/sLGHB5c/NZW/u3vLQAyWAAAAAAAtXs4POM24nKbiuvmdKdLNbNJGXxzPf5RkQ0dr8rBZu+z1Bnbs0fTuf6od/WZGlgBC1+Vgs3fZ6ga/KwWbvs9QTQAH4ZcW62S1sLZUfihZpMy3TMv7j9gAApkAAAWzRfmaB9la/IQmiFRfmaB9la/IQmgD+GV5GRHcKfsPkirdnbUUqpyLO2Tp7lLXIVOtDTpDq6paAloWm6WhTKLs9SkvLznnrltpIi8FJuA77u4rzFSWByhZTaxaFNn7T2cfakFUD1xf8AxyZDixohRTNSW5Lq1NPLTJzUEtC1E4kzUlBJ70ofisvzl7OnYH8LndnPT0FuDicqmUf/AKbU2kzdFRP/AJWpFTtPWqxsyHHvYedz3H9E7dfoc0ize9Sy7yHbD09pYlrpcZpFkK5R6Y+Sz0y6lSnZyFou8EpbkMGk7/rM1F/T6xjFOVhKltOMrmVuq0h119mzFOm02kRIEuuzWqyeawmUq4tVLQ3SSQkjWalGyRpNN15maS8VlctSrU1KXRYlnozk9uolDjsxKlp81tK1k8qUeiTq7jSUEbjfl3G8wnOM3CEaPkJdplPZs7RbWpj0KVBgwazFepqXHpiIyzP4lxK0JY0iVGhZG24WbdmEg/KOXlEyMHlDafdqFeinLclkto5VNORHZik042hkmtKk89JuqdJ3OvJ0kKuuQlCc3JRWXTeK9O+U52yMVdb0env53WFnAPGw1oGW2dItzRpJOes71KuK68z+sx4F0ikurU45S4i1rM1KUphJmZn4mZ3CGFdaSwELYtGwmFwEcg2LRsJhcBHICT02U7za2s9Rz/d1j57jfuUukUlrJxapxulxELRRJykqSwkjIyYXcZHcMBC+aochSb1gUjWvlqPc8QAALeVMCzOzd56LO/e/dHhWYsns6MMyMslnmZDKHW1a3ehaSUR/JXj8DGjpPmVN2IsGbujueUXahxRuUBC2LRsJhcBHINi0bCYXARyHIjqxNAQti0bCYXARyDYtGwmFwEcgBNAQti0bCYXARyDYtGwmFwEcgBNHz3ynecq1nryf7wsb72LRsJhcBHIYCyloQ1lHtU22hKEIrc5KUpK4iIn13ERC36ocvSbliVTWvkaPe8DmwABfCjgAAAfS4BC2LRsJhcBHINi0bCYXARyHFDsZNAQti0bCYXARyDYtGwmFwEcgBNAQti0bCYXARyDYtGwmFwEcgBNGae0v9O4Hqhr9Z4aJ2LRsJhcBHIZx7R8WNEtxBbix2mUHSmlGltBJIz0z3fcQAqoAAAAAABpbs0fQSf63d/RZFtCnezhTqfLsPOclQY7yyqrqSU40lRkWhZ7rzIWrsWjYTC4COQAmgIWxaNhMLgI5BsWjYTC4COQAmgIWxaNhMLgI5BsWjYTC4COQAmjg8ufmsrf3b3lodfsWjYTC4COQ4bLbS6ZHyYVp6PTorTidWuWhlKTL5Q2XiRADKoAAAAAAC2uzR9O5/qh39ZkaWGZOzhFjS7cTm5Udp5BUp1RJcQSiI9Mz33GNHbFo2EwuAjkAJoCFsWjYTC4COQbFo2EwuAjkAJoD8MsMx2yZjsoabT4IQkkkX1+BD9gCmQAABbNF+ZoH2Vr8hCaIVF+ZoH2Vr8hCaAP4ojNJkR3Hd4jHNDyn5S7ROwcmkM8olWnsNpTHqzyG4UeRUG4ski0UxnRE9DzksyEm+alONtu52kM0tq13WKvSaDTJFXrtSi0+BFRnvyZTyWWmk+F6lqMiSXeRd5/WKQsHVsidQrlhXbG5QZdWmOsMMRqKxVIchbJswZGjkTW273EKbZW4yZpVm5ym85KjIlEg+N93rb1d3ipEtygbzu9+rYy+UZ5ISThka7izrvC/6xCr1dpNmaPLr9dmJiwILRvPuqSas1JfuSkjUpRncRJSRmZmRERmZEJ44rKdY+01roMFNnK7TYSqe65KVGqFMVMZlOaNSWryS+yaTQpWckzUZEokquvSRjCkiihhbhVpNHCm1DE7M5meaTlasDEfprD1ZePaseLLYcbgSXGm2ZKs2Ot9xLZojE4ruSbxovMjIvA7vNT8ptiqomUqHVnT1OW1BWTkKQ0bjrizQ3oiWgjeQpSVkS285B5ijI7kndVMPJ9lKg2WOxs6zpTnbR0Oi0+TUoj7MdmlORyzHtKhTynFGhvNNKmtIS1kd5NpuMSrVZNbY0mfItHk1o86DIbqLiYrKJceU+STZe+UoKa4plpo3nEpJpGaptlT5tklbykl9o1DDG0rVN2969NvelJM+cDcUM3Y5LCeOzZdeXqA8bGm0Les5mmzS0mZfm513fdf33XjwLhSVrUpNXloIzMySlLVyf6Fegz/ABGDsJTmpksBC1CVjU3cZ6YahKxqbuM9MCT02U7za2s9Rz/d1j57jfuUuFJRk4tUpVXlrIqJOM0qS1cr4hfcdyCP8BgIXzVDkKTesCka18tR7niAABbypgWZ2bvPRZ3737o8KzFk9nRtbuWSzyEPrZUet3LQSTMvkr38RGX9ho6T5lTdiLBm7o7nlF2ocUblAQtQlY1N3GemGoSsam7jPTHIjqxNAQtQlY1N3GemGoSsam7jPTAE0BC1CVjU3cZ6YahKxqbuM9MATR898p3nKtZ68n+8LG+9QlY1N3GemMBZS0mjKPapKlqWZVucRqVder49fed1xfgLfqhy9JuWJVNa+Ro97wObAAF8KOAAAB9LgELUJWNTdxnphqErGpu4z0xxQ7GTQELUJWNTdxnphqErGpu4z0wBNAQtQlY1N3GemGoSsam7jPTAE0Zp7S/07geqGv1nhonUJWNTdxnpjOPaPZcZtxBS5KdfM6U0ec4SSMvjnu7ySIgBVQAAAAAADS3Zo+gk/wBbu/osi2hTvZwjPPWHnKbqMhgiqrpZraWzI/iWe/ykmYtXUJWNTdxnpgCaAhahKxqbuM9MNQlY1N3GemAJoCFqErGpu4z0w1CVjU3cZ6YAmjg8ufmsrf3b3lodfqErGpu4z0xw2W2JIayYVpa6pKeSWrXoWloiP5Q3/Cgj/uAMqgAAAAAALa7NH07n+qHf1mRpYZk7ODLj1uJyW5TrBlSnTzmySZn8cz3eURkNHahKxqbuM9MATQELUJWNTdxnphqErGpu4z0wBNAfhltbTZIW+t5ReK1kkjPdIi/sP2AKZAAAFs0X5mgfZWvyEJohUX5mgfZWvyEJoA/iv2T7iPu+sUzkmrNRlPUWNVrT5Qo8zRKQ7Q37E7Po7BpQotG28dOQbbKbvi86RnGRIJRmZmk7mPwPvu/r+4UPkzi2qptYoMmo2valUGv1JcynVBVXqcmRV1JgOIzFsyGiQwhwkKkknSqQRtkTaTK5RIfieenPT0bZH8LznDpL5AByOUql1GtUZim0d0lTVv57cb/kcmiackoVf8oioW8ZJvJWYm4ju8o7iuPGKLgqZKUzrgGbGrSVWtWWftUm2VeVUbPUKz79JQdRXFTMfeWaVLeYaWbUg33E6Ly9InuuQZGZqOZJr1rMntanwbR1Or1OEupFJllSqm7NfXo235WYk5Kmkxc5lBOOsNKNKG2UJQSjkFdnElDFwW9r3X5fuQpu5ZlM0OA8bDzUlluQyrObdSS0HddekyvI+8eBc2ShakppEtZEZkSkqauV/Ur1kf4iGpWMhNNTRLAQtflYLN32eoGvysFm77PUAk9NlO82trPUc/3dY+e437lLmyV5OLVJVSJaCOiTiNSlNXJ+IX3ncsz/AAGAhfNUOQpN6wKRrXy1HueIAAFvKmBZnZu89FnfvfujwrMWT2dHFtZZLPLQwt5Ra3chBpIz+SvfxGRf3GjpPmVN2IsGbujueUXahxRuUBC1+Vgs3fZ6ga/KwWbvs9QciOrE0BC1+Vgs3fZ6ga/KwWbvs9QATQELX5WCzd9nqBr8rBZu+z1ABNHz3ynecq1nryf7wsb71+Vgs3fZ6gwFlLUa8o9qlKQpBnW5xmlV16fj19x3Xl+At+qHL0m5YlU1r5Gj3vA5sAAXwo4AAAH0uAQtflYLN32eoGvysFm77PUHFDsZNAQtflYLN32eoGvysFm77PUAE0BC1+Vgs3fZ6ga/KwWbvs9QATRmntL/AE7geqGv1nhonX5WCzd9nqDOPaPecetxBU5FdYMqU0Wa4aTM/jnu/wAkzIAVUAAAAAAA0t2aPoJP9bu/osi2hTvZwkvM2HnJbp0h8jqrp5zamyIviWe7ylEYtXX5WCzd9nqACaAha/KwWbvs9QNflYLN32eoAJoCFr8rBZu+z1A1+Vgs3fZ6gAmjg8ufmsrf3b3lodfr8rBZu+z1Bw2W2XIdyYVpC6XKZSerXrWpoyL5Q3/Csz/sAMqgAAAAAALa7NH07n+qHf1mRpYZk7ODzjNuJym4rr5nSnSzWzSRl8cz3+UZENHa/KwWbvs9QATQELX5WCzd9nqBr8rBZu+z1ABNAfhlxbrZLWwtlR+KFmkzLdMy/uP2AKZAAAFs0X5mgfZWvyEJohUX5mgfZWvyEJoA/irrjvLuuFJ5MatkhtDU7PPUDLE5UVRkuPUWyUusQFLpq1NqSaCaZTp3FNNm6giccdSlJmZX3JUV2Hfd3eIqSwP/AFwZtCmmWvYqy4jdQORKqct2mHFfjlFNs2Y6I9zyUnIzXEZ7aFEhJ56jUZpND8Wc5sD+F5zmZbg9VaKytl7XwUUy1lm6XW4bbhPJj1GG3JaS4RGRLJLhGRKIlGV91/ef7x7UegtpItLEo6pdmqrQ6WqPnPS5tYjuPsMR0IUpR6NtxozO8k3mbiSSWcflXXHjG1CpsmFNuSPPJsbZCZPptUl2Uo782jJJFNkuQWlOwkl4Eys03tl3F3JMvAf2o2QsnWIS6bVrL0ibEcla6uPJhNONqkX36Y0qSZGu/vzvG/6xVzmVrKC5RjtNsmk0yNQqRSqlXadLivOSXlySznm2VpcSTBNoK8jWhw1Gdxkm68/3Ayy2ih1GVTLZJpNFUuooaYk1KI9TGIsfSLS4lapDl0lVyWktuNGlDq3vJTc04ZfRpqPgu+b8Zr1t7rTGaansl6P0s8kXKACIur0lpam3KpEQtBmlSVPpIyMvEjK8YkksBC21RsWhcdHMNtUbFoXHRzAHpsp3m1tZ6jn+7rHz3G/cpdXpLuTi1TbdUiLWuiTkpSl9JmZmwu4iK8YCF81Q5Ck3rApGtfLUe54gAAW8qYFmdm7z0Wd+9+6PCsxZPZ0fZj5ZLPPSHkNNp1u9a1Eki+SvF4mNHSfMqbsRYM3dHc8ou1DijcoCFtqjYtC46OYbao2LQuOjmORHViaAhbao2LQuOjmG2qNi0Ljo5gCaAhbao2LQuOjmG2qNi0Ljo5gCaPnvlO85VrPXk/3hY33tqjYtC46OYwFlLWh3KPapxtaVoXW5ykqSd5GRvruMjFv1Q5ek3LEqmtfI0e94HNgAC+FHAAAA+lwCFtqjYtC46OYbao2LQuOjmOKHYyaAhbao2LQuOjmG2qNi0Ljo5gCaAhbao2LQuOjmG2qNi0Ljo5gCaMv9qCpQodv6e1JfzFHR2lEWaZ92me/cX9BpPbVGxaFx0cxkvtayo0vKPTXIshp5BURlJqbWSiI9O/3XkPV0NUaPSNaVBStpSbs+6Z5ml67SVCrOmo0m5q/KOA29SvSv8Fcg29SvSv8ABXIciAt3FKpfNH4r6Sqcaa58sPg/qOu29SvSv8Fcg29SvSv8FchyIBxSqXzR+K+kcaa58sPg/qNndl+XHmWAqDsZzPSVYdSZ3GXfoWf3/wD5FwChuyVUafEycVJuVOjsrOtvKJLjqUmZaBjvuMxdm2qNi0Ljo5ik6Qq8NUrUdBBdC5WlzqFYirVWgpo72p2E0BC21RsWhcdHMNtUbFoXHRzGkbZNAQttUbFoXHRzDbVGxaFx0cwBNHB5c/NZW/u3vLQ6/bVGxaFx0cxw2W2qUyRkwrTMeoxXXFatchDyVGfyhs/AjAGVQAAAAAAFtdmj6dz/AFQ7+syNLDMnZwlRoluJzkqQ0yg6U6klOLJJGemZ7rzGjttUbFoXHRzAE0BC21RsWhcdHMNtUbFoXHRzAE0B+GX2ZDZPR3kOtq8FoUSiP6vEh+wBTIAAAtmi/M0D7K1+QhNEKi/M0D7K1+QhNAHJZUbOVm1dkXaHRYlNmLelRVyYdRlOR48uMh5C3WFuNtuKJK0JNJlmKIyUZGRkZj0OTKzuUOx0mTRZFjrI0uzUmc5Kjx6ZX5D2zW1NpvZZZVBaQaDeJa7s9BJ0p3Ed1x2WAQ/lnLb9vZefSw/zSzm8DmLf2Fbt/TItKftLWKQ1GlolqOnauZSDRfmodRIadQ43eZKzTTcZpSf1Dpx6W1lsbM2GpCq5aurs0+GlWYS1kpSlquNWahCSNS1ZqVKuSRnmpUfgRmUO0lHOzskcKqTGplTthaKRpW4zdVaNUVDdYKO4bjRyUoYTmmRmZHodFnpuSvOIrh5LU5JKFa1uSqfV6qzLlS1SFzGVMG6TamHGDjETjSkEzonnUkWbnEa1KJWeZqP2VcykWOs5WY9Bq9TealyEsqPRwpDzTCXnDbaU+62g245LWRpSbqkEoyO6+4x+KflNsVVEylQ6s6epy2oKychSGjcdcWaG9ES0EbyFKSsiW3nIPMUZHck7pvz1r1kvLaROTnm7299h0rDLUZluOynNbaSSEFffckiuIu8eQABudrISSUkAAAJOZynebW1nqOf7usfPcfQjKd5tbWeo5/u6x89xfNUOQpN6wKRrXy1HueIAAFvKmBZnZu89FnfvfujwrMWZ2bvPRZ3737o8NHSfMqbsRYM3dHc8ou1DijcQAA5EdWAAAAAAAAPnvlO85VrPXk/3hY+hA+e+U7zlWs9eT/eFi36ocvSbliVTWvkaPe8DmQABfCjgAAAfS4AAcUOxgAAAAAAAGQu175yqb6jZ94kDXoyF2vfOVTfUbPvEgWHVj9QW5ngaycwe9FHAADpRzsAAADXvZC82tS9ePe7xxeIo7shebWpevHvd44vEco01+oUu86jofmFFuAAA8s9IAAAAKz7SPmXtF9097ZFmCs+0j5l7RfdPe2Ru6M57Q9uHFGnpHmdL2YsGYdAAHXjlAAAAF49kLzlVL1G97xHGvRkLshecqpeo3veI416Oa6z/AKg9yOiatcwW9gAAV498AAACmQAABbNF+ZoH2Vr8hCaIVF+ZoH2Vr8hCaAAAAADi8sceu1HJzXKJZyzM6tz6tDegtMRHozRtm42oicWp91tOYR3EdxmrvK5J993aADtJTk5lMWls/bivO1yHFsNUGWLbw6ayuQ9NiIOjqZWpLxyCQ8o1GSDJaNDpSUryVZhFnHBtVk1tjSZ8i0eTWjzoMhuouJisolx5T5JNl75SgprimWmjecSkmkZqm2VPm2SVvKSV6gG2edlm7N8pYpcFSzdLPtYeNjTaFvWczTZpaTMvzc67vuv77rx4FwpK1qUmry0EZmZJSlq5P9CvQZ/iJYA7QlJSIWoSsam7jPTDUJWNTdxnpiaAEnHZS4UlGTi1SlVeWsiok4zSpLVyviF9x3II/wABgIfQjKd5tbWeo5/u6x89xfNUOQpN6wKRrXy1HueIAAFvKmBZPZ0bW7lks8hD62VHrdy0EkzL5K9/ERl/YVsLM7N3nos79790eGjpPmVN2IsGbujueUXahxRtXUJWNTdxnphqErGpu4z0xNAciOrELUJWNTdxnphqErGpu4z0xNAAQtQlY1N3GemGoSsam7jPTE0ABC1CVjU3cZ6YwFlLSaMo9qkqWpZlW5xGpV16vj1953XF+A+hQ+e+U7zlWs9eT/eFi36ocvSbliVTWvkaPe8DmQABfCjgAAAfSHUJWNTdxnphqErGpu4z0xNAcUOxkLUJWNTdxnphqErGpu4z0xNAAQtQlY1N3GemGoSsam7jPTE0ABC1CVjU3cZ6YyX2tWXGco9NS5KdfM6Iyec4SSMvj3+7ySIhsEZC7XvnKpvqNn3iQLDqx+oLczwNZOYPeijgAB0o52AAABrXslRnnsnFSU3UZDBFW3izW0tmR/EMd/lJMxdmoSsam7jPTFN9kLza1L1497vHF4jlGmv1Cl3nUdD8wotxC1CVjU3cZ6YahKxqbuM9MTQHlnpELUJWNTdxnphqErGpu4z0xNAAQtQlY1N3GemK37RcSQ1kbtCtdUlPJLVL0LS0RH8qZ/hQR/3Fqis+0j5l7RfdPe2Ru6M57Q9uHFGnpHmdL2YsGYdAAHXjlAAAAF29kplx7KPUktynWDKiPHnNkkzP49ju8ojIa01CVjU3cZ6Yyf2QvOVUvUb3vEca9HNdZ/1B7kdE1a5gt7IWoSsam7jPTDUJWNTdxnpiaArx75+GW1tNkhb63lF4rWSSM90iL+w/YAAKZAAAFs0X5mgfZWvyEJohUX5mgfZWvyEJoAAAAAAAAM/5W0WfctnXkVgoZ2tONSP+E6wm+TptOrO1L/yI9LdpTb7yRmm55BJHoq0hvJTNqVRZVTKvRVVwjm3GVJjy57aH5CG5D3x2nfI7kqXcgnntWb8jRuEenQBWSztT9L+mXRbLtnPb7NevhZ1njYd07Lb2jW3pEkrMWVyk3lfcZfUY8C3asS1E3CiKQRnmmqUojMvqvLRnd+IlgDMVdaQtLWfQIXta+mGlrPoEL2tfTE0AJOftPS6zaSzVWs7oYUfakF+FptYWvR6RtSM7N0ZX3Z1915X3eJDPfwN6z/PML2Jf+w1IA36npOtVCFw1eOSd9ieKZo1vRtVrzUVPDNrrawaMt/A3rP8APML2Jf8AsHwN6z/PML2Jf+w1IItNqtLrEdUukVKLOYQ64wp2M8l1BOIUaVoM0mZZyVEaTLxIyMjG5xi0n/s/jD7Gp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Question 2.Observe the following graph and answer the questions.
![](data:image/jpeg;base64,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)
(1) State the type of the bar graph.
(2) How much percent is the Tur production to total production in Ajita’s farm?
(3) Compare the production of Gram in the farms of Yash and Ravi and state whose percentage of production is more and by how much?
(4) Whose percentage production of Tur is the least?
(5) State production percentages of Tur and gram in Sudha’s farm.
Answer:(1) The given graph is a Percentage-Bar Graph.
(2) According to the graph, the percentage of Tur production with respect to total production in Anita's farm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAApCAMAAAA25voVAAAAAXNSR0IArs4c6QAAAIpQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmaQZpDbZrbbZrb/kDoAkGY6kGZmkLaQkLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ29u229v/2////7Zm/9uQ/9u2//+2///bQQx5PgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACxElEQVRYR+1Y6VrbMBCUgQRzpAkBSt0DQx1a27He//W6q2u1EK8dBftX9X0hCtExnh3tbKTU/5bMgH7JlzXM1t+z7OY1eZnTJzb56i+uootlvS/Of5++4lEr6B/+4Zv8yc5szp7hT/bNfmpXR62XPvhl7eZ2m0vXK5EO+hhGpG8yZmbltycSMDiIxEjGBMuxM2a95DHtFQTCtvL85zbLVrWRiRWL+6aZQzJloEQX2ZdaveXrj0h04SOY/MSDEyNKHAflsvbRCSDVDKRUIQI+GhVEwimWiOg2U5PCdjD7K+BEVXiAwyk2GiLEgzwnDTCJw7c2v6zVDkHgsYkECwPYwKStBiZhKCIocHQWv/DzHnq3/uTgP1oQ8pSNP7e0ky5IvlMgojQ6uPrEQjmCcyvnnvZ2b+VGFh563TY7Mxm6u4sk+WEddjxkWqpY23woiMrCJAunXrlWO3smxfCmIOkeLDl7967a21cnfLLw0EMmDBvttVhjCA/6nqEAWhcLXLPbRLWCQ0IWHnqIAg10yC9SkNhczLVukZCFU89zQrm8zHyL452EBHf8s4UkSC1GgijIzJEL0Em3GagrPJIA82DH7BhLClybJ/9+JJgjF88o1zbPTFgPtzROgBQBCcbtvZmDXCFM2hyfT48OI4UrFnyBmzmGqIEJQm2RcoqDYiOhOCRk4dzMDQp4CSc5BYnzKnZ4XJTJwpmZG7kaJDexzJlgUrL9/tEu17p3SPE5CP3iK2a7YOGxmRt5dHdPVieHW/xggnfg5HQHdAXqLud1BkdEVYHoHSZrTVsVKF8pid5hYjFxpRQXhf3eYRJbvxX3xv6oL6KKut87TpPJWDzkTELGRuedtozF+IcfoyKSGX55USnFo8O9Y6i6GBsBcVwgRfKOOShRyt9aCN4xz62FUu6eRvCOmW5yFN5uid4x2+3Wp8ht7CL/AOq8Xh1FnDcqAAAAAElFTkSuQmCC)
(3) According to the graph,
Percentage production of Gram in Yash's farm = (100-50)%
= 50%
Percentage production of Gram in Ravi's farm = (100-70)%
=30%
Clearly,
the percentage production of Yash is greater than Ravi's farm.
Difference of their production = (50-30)%
=20%
∴ The Gram production of Yash is 20% more than that of Ravi.
(4) Percentage production of Tur in Ajita's farm = 60%
Percentage production of Tur in Yash's farm = 50%
Percentage production of Tur in Ravi's farm = 70%
Percentage production of Tur in Sudha's farm = 40%
Clearly,
Percentage production of Tur in Sudha's farm is the least.
(5) Production percentage of Tur in Sudha's farm = 40%
Production percentage of Gram in Sudha's farm = (100-40)%
= 60%
Question 3.The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data.
![](data:image/png;base64,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)
Answer:(1) First of all we prepare a table as follows:
![](data:image/png;base64,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)
(2) In a percentage bar graph, all bars are of height 100 units.In each bar we show percentage of students inclining
towards different streams.
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Show the following information by a percentage bar graph.
Answer:
First of all we prepare a table as follows:
(2) In a percentage bar graph, all bars are of height 100 units. In each bar, we show the percentage of students who secured grade A.
(3) Remaining part shows the percentage of students
who did not secure grade A?
Question 2.
Observe the following graph and answer the questions.
(1) State the type of the bar graph.
(2) How much percent is the Tur production to total production in Ajita’s farm?
(3) Compare the production of Gram in the farms of Yash and Ravi and state whose percentage of production is more and by how much?
(4) Whose percentage production of Tur is the least?
(5) State production percentages of Tur and gram in Sudha’s farm.
Answer:
(1) The given graph is a Percentage-Bar Graph.
(2) According to the graph, the percentage of Tur production with respect to total production in Anita's farm
(3) According to the graph,
Percentage production of Gram in Yash's farm = (100-50)%
= 50%
Percentage production of Gram in Ravi's farm = (100-70)%
=30%
Clearly,
the percentage production of Yash is greater than Ravi's farm.
Difference of their production = (50-30)%
=20%
∴ The Gram production of Yash is 20% more than that of Ravi.
(4) Percentage production of Tur in Ajita's farm = 60%
Percentage production of Tur in Yash's farm = 50%
Percentage production of Tur in Ravi's farm = 70%
Percentage production of Tur in Sudha's farm = 40%
Clearly,
Percentage production of Tur in Sudha's farm is the least.
(5) Production percentage of Tur in Sudha's farm = 40%
Production percentage of Gram in Sudha's farm = (100-40)%
= 60%
Question 3.
The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data.
Answer:
(1) First of all we prepare a table as follows:
(2) In a percentage bar graph, all bars are of height 100 units.In each bar we show percentage of students inclining
towards different streams.