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

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

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

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