10th Math's Chapter 14 -Statistics CBSE Board Questions from 2013

Set-01
1. The class mark of the class 10 – 25 is :  (A) 17 (B) 18 (C) 17.5 (D) 15
2. Find the mean of the following frequency distribution [by assumed mean method]
Class :
0 – 6
6 – 12
12 – 18
18 – 24
24 – 30

 Frequency :
7
5
10
12
6

3. Find the mode of the following frequency distribution
Class :
0 – 6
6 – 12
12 – 18
18 – 24
24 – 30
Frequency :
7
5
10
12
6
4. If the mean of the following distribution is 27, find the value of p
Class :
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
Frequency :
8
p
12
13
10
5. Find mean, and median for the following data :
Class :
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
 Frequency :
 8
16
36
 34
6
6.  Draw ‘less than’ and ‘more than’ ogives for the following distribution:
Scores :
20 – 30
30 – 40
40 – 50
 50 – 60
60 – 70
70 – 80
Frequency :
8
10
14
 12
4
2
7.  Find the value of f1 from the following data if its mode is 65:
Class
 0 – 20
20 – 40
40 – 60
60 – 80
80 – 100
100 – 120
 Frequency
6
8
 f1
12
6
5
Set-02
1. If the „less than‟ type ogive and „more than‟ type ogive intersect each other at (20.5, 15.5), then the median of the given data is : (A) 36.0 (B) 20.5 (C) 15.5 (D) 5.5           [01]
2.  Find the sum of lower limit of mediun class and the upper limit of model class :[02]
Classes :
 10 – 20
 20 – 30
 30 – 40
 40 – 50
 50 – 60
 60 – 70
 Frequency :
 1
 3
 5
 9
 7
 3
3.  Convert the following data into more than type distribution :[02]
Class :
 50 – 55
 55 – 60
 60 – 65
 65 – 70
 70 – 75
 75 – 80
 Frequency :
 2
 8
 12
 24
 38
 16
4. Draw the less than type ogive for the following data and hence find the median from it.[03]
Classes :
 50 – 60
 60 – 70
 70 – 80
 80 – 90
 90 – 100
 Frequency :
 6
 5
 9
 12
 6
5. The median of the following frequency distribution is 28.5 and the sum of all the frequencies is 60. Find the values of „p‟ and „q‟ : [03]
Classes :
 0 – 10
 10 – 20
 20 – 30
 30 – 40
 40 – 50
 50 – 60
 Frequency :
 5
 p
 20
 15
 q
 5
6. Calculate the average daily income (in `) of the following data about men working in a company :[05]
Daily income (in `)
 < 100
 < 200
 < 300
 < 400
 < 500
 Number of men
 12
 28
 34
 41
 50

7. The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean n umber of wickets by choosing a suitable method. What does the mean signify? [Hint: Here, the class size varies, and the x , s are large. Let us still apply the stepdeviation method with a = 200 and h = 20]
Number of wickets
20 - 60
60 - 100
100 - 150
150 – 250
250 – 350
350 - 450
Number of bowlers
7
5
16
12
2
3

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