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Find the Mean of Each of the Following Frequency Distributions Class Interval 0-6 6-12 12-18 - CBSE Class 10 - Mathematics

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Question

Find the mean of each of the following frequency distributions

Class interval 0 - 6 6 - 12 12 - 18 18 - 24 24 - 30
Frequency 7 5 10 12 6

Solution

Let the assume mean A = 15

Class
interval
Mid-value(x1) d1 = x1 - 15 `"u"_1=(x_1-15)/6` Frequency(f1) f1u1
0 - 6 3 -12 -2 7 -14
6 - 12 9 -6 -1 5 -5
12 - 18 15 0 0 10 0
18 - 24 21 6 1 12 12
24 - 30 27 12 2 6 12
        N = 40 `sumf_1"u"_1=5`

We have

A = 15 h = 6

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

`=15+6xx5/40`

`=15+30/40`

= 15 + 0.75

= 15.75

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Solution Find the Mean of Each of the Following Frequency Distributions Class Interval 0-6 6-12 12-18 Concept: Mean of Grouped Data.
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