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Find the Mean of Each of the Following Frequency Distributions 0-8 8-16 16-24 24-32 - CBSE Class 10 - Mathematics

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Question

Find the mean of each of the following frequency distributions

Class interval 0 - 8 8 - 16 16 - 24 24 - 32 32 - 40
Frequency 5 9 10 8 8

Solution

Let the assumed mean be A = 20 and h = 8.

Class interval Mid value(x1) d1 = x1 - 20 `"u"_1=(x_1-20)/8` f1 f1u1
0 - 8 4 -16 -2 5 -10
8 - 16 12 -8 -1 9 -9
16 - 24 20 0 0 10 0
24 - 32 28 8 1 8 8
32 - 40 36 16 2 8 16
        N = 40 `sumf_1"u"_1=5`

We have

A = 20, h = 8

Mean `=A+hxx(sumf_1"u"_1)/N`

`=20+8xx5/40`

`= 20+40/40`

= 20 + 1

= 21

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Solution Find the Mean of Each of the Following Frequency Distributions 0-8 8-16 16-24 24-32 Concept: Mean of Grouped Data.
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