### STATISTICS PART TWO

**Exercise No. 6.1**

**1. The Following data gives the number of students using different modes of transport:**

Mode of transport | Bicycle | Bus | Walk | Train | Car |

Number of Students | 140 | 100 | 70 | 40 | 10 |

**Represent the above data using pie diagram. [Ans]**

**2. Following is the component wise expenditure per article. Draw a pie diagram. [Ans]**

Component | Raw Material | Labour | Transportation | Packing | Taxes |

Expenditure (Rs.) | 800 | 300 | 100 | 100 | 140 |

**3. The area under different crops in a certain village is given below. Represent it by pie diagram: [Ans]**

Crop | Jowar | Wheat | Sugar cane | Vegetables |

Area in hectare | 8000 | 6000 | 2000 | 2000 |

**4. Electricity used by farmers during different parts of a day for irrigation is as follows:**

Part of a day | Morning | Afternoon | Evening | Night |

Percentage of electricity used | 30 | 40 | 20 | 10 |

**Draw pie diagram. [Ans]**

**5. The following table gives information about the monetary investment by some residents in a city:**

Mode of Investment | Shares | Mutual funds | Real estate | Gold | Government bonds |

Percentage of residents | 10 | 20 | 35 | 30 | 5 |

**Draw a pie diagram to represent the data. [Ans]**

**6. The following pie diagram represents expenditure on different items in constructing a building. Answer the following questions : [Ans]**

**(a) Find the expenditure of each of the items if the total construction cost is Rs. 5,40,000.**

**(b) Which is the item with the maximum expenditure ?**

**(c) Which is the item with the minimum expenditure ?**

**7. The following diagram represents the sectorwise loan amount in crores of Rs. distributed by a bank. From the information answer the following questions :** [Ans]

**(a) If the dairy sector received Rs. 20 crores, then find the total loan disbursed.**

**(b) Find the loan amount for agriculture sector and also for industrial sector.**

**(c) How much additional amount did industrial sector received than agriculture sector.**

**8. The following pie diagram shows percentage of persons according to blood group. Answer the following questions :**

**(a) Find the measure of central angle for each blood group.**

**(b) Find total number of persons if there are 600 persons of blood group B.** [Ans]

**Exercise No. 6.2**

**1. Draw the histogram to represent the following data. [Ans.]**

Daily sales of a store (in Rs. ) | 0 – 1000 | 1000 – 2000 | 2000 – 3000 | 3000 – 4000 | 4000 – 5000 | Total |

No. of days in a month | 2 | 12 | 10 | 4 | 2 | 30 |

**2. Represent the following data using a histogram. [Ans.]**

Height of students (cm) | 140 – 144 | 145 – 149 | 150 – 154 | 155 – 159 |

Number of students | 2 | 12 | 10 | 4 |

**3. The marks scored by students in mathematics in a certain examination are given below: [Ans.]**

Marks scored | 1 – 20 | 21 – 40 | 41 – 60 | 61 – 80 | 81 – 100 |

Number of students | 3 | 8 | 19 | 18 | 6 |

**4. Draw the histogram for the following frequency distribution: [Ans]**

House rent in Rs. per month | 4000 – 6000 | 6000 – 8000 | 8000 – 10000 | 10000 – 12000 |

Number of families | 200 | 240 | 300 | 50 |

**5. Represent the following data by histogram and hence compute mode:[Ans]**

Price of Sugar per kg (in Rs.) | 18 – 20 | 20 – 22 | 22 – 24 | 24 – 26 | 26 – 28 | Total |

Number of weeks | 4 | 8 | 22 | 12 | 6 | 52 |

**Exercise No. 6.3**

**1. Draw histogram and frequency polygon for the following frequency distribution: [Ans]**

Class | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 |

Frequency | 20 | 30 | 50 | 40 | 10 |

**2. Represent the following data using frequency curve: [Ans]**

Electricity bill in a month(in Rs.) | 200 – 400 | 400 – 600 | 600 - 800 | 800 – 1000 |

No. of Families | 362 | 490 | 185 | 63 |

**3. Folowing is the frequency distribution of customers in a certain year at a departmental store: [Ans]**

No. of customers | 50 – 100 | 100 – 150 | 150 – 200 | 200 – 250 | Total |

No. of days. | 90 | 98 | 138 | 39 | 365 |

**Draw histogram and hence draw frequency curve.**

**4. Represent the following data using histogram and hence draw frequency polygon: [Ans]**

No. of words typed per minute | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 |

No. of typists | 2 | 8 | 15 | 12 | 3 |

**5. Draw frequency polygon and frequency curve for the following data on land holding by the farmers: [Ans]**

Area in hectares | 11 – 20 | 21 – 30 | 31 – 40 | 41 – 50 | 51 – 60 | 61 – 70 | 71 – 80 |

No. of farmers | 58 | 103 | 208 | 392 | 112 | 34 | 12 |