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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

#### 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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