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ICSE Guess > ICSE/ISC eBooks > Class X > Maths by Mr. M. P. Keshari

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Example – 1. Find the mean of the following distribution :

Class interval 0 – 10 10 – 20  20 – 30 30 – 40 40 – 50
Frequency 10 6 8 12 5

Solution :-

Class interval Frequency (f) Mid value (x) fx
0 – 10 10 5 50
10 – 20 6 15 90
20 – 30 8 25 200
30 – 40 12 35 420
40 – 50 5 45 225
Total –  ∑f = 41   ∑ f x = 985

Mean = ∑ f x / ∑f = 985/41 = 24.02.

Example – 2. If mean of the following distribution is 7.5, find the missing frequency ‘f’ :

Variable : 5 6 7 8 9 10 11 12
Frequency : 20 17 f 10 8 6 7 6

Solution :-

Variable (x) frequency (f) f x

5
6
7
8
9
10
11
12

20
17
f
10
8
6
7
6
100
102
7f
80
72
60
77
72
  ∑ f = 74 + f  ∑ f x = 563 + 7f 

Mean = ∑ f x / ∑ f 

Or,  7.5 = (563 + 7f) / (74 + f)

Or,   555 + 7.5f = 563 + 7f

Or,  0.5f = 8

Or,  f = 16.

 

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Maths by Mr. M. P. Keshari

 

Chapter - 24   Chapter - 25   Chapter - 26
  Chapter - 27   Chapter - 28   Chapter - 29

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