### 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