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

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