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
|
