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Find the Mean of Each of the Following Frequency Distributions: (5 - 14) - CBSE Class 10 - Mathematics

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Question

Find the mean of each of the following frequency distributions: (5 - 14)

Class interval 0 - 6 6 - 12 12 - 18 18 - 24 24 - 30
Frequency 6 8 10 9 7

Solution

Let a assume mean be 15

Class interval Mid-value(x1) d1 = x1 - 15 `"u"_1=(x_1-15)/6` f1 f1u1
0 - 6 3 -12 -2 6 -12
6 - 12 9 -6 -1 2 -8
12 - 18 15 0 0 10 0
18 - 24 21 6 1 9 9
24 - 30 27 12 2 7 14
        N = 40 `sumf_1"u"_1=3`

A = 15, h = 5

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

`=15+6xx3/40`

`= 15 + 18/40`

= 15 + 0.45

= 15.45

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Solution Find the Mean of Each of the Following Frequency Distributions: (5 - 14) Concept: Mean of Grouped Data.
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