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Find the Mean of Each of the Following Frequency Distributions Classes: 25 -29 30-34 35-39 40-44 45-49 50-54 55-59 - CBSE Class 10 - Mathematics

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Question

Find the mean of each of the following frequency distributions

Classes 25 - 29 30 - 34 35 - 39 40 - 44 45 - 49 50 - 54 55 - 59
Frequency 14 22 16 6 5 3 4

Solution

Let the assume mean A = 42

Classes Mid value(x1) d1 = x1 - 42 `"u"_1=(x1-42)/5` f1 f1u1
25 - 29 27 -15 -3 14 -42
30 - 34 32 -10 -2 22 -44
35 - 39 37 -5 -1 16 -16
40 - 44 42 0 0 6 0
45 - 49 47 5 1 5 5
50 - 54 52 10 2 3 6
55 - 59 57 15 3 4 12
        N = 70 `sumf_1"u"_1=-79`

We have

A = 42, h = 5

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

`=42+5xx(-79)/70`

`=42+(-395)/70`

`=42-395/70`

= 42 - 5.643

= 36.357

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Solution Find the Mean of Each of the Following Frequency Distributions Classes: 25 -29 30-34 35-39 40-44 45-49 50-54 55-59 Concept: Mean of Grouped Data.
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