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Find the Mean of Each of the Following Frequency Distributions 0-10 10-20 20-30 - Mathematics

Find the mean of each of the following frequency distributions

Class interval 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
Frequency 9 12 15 10 14
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Solution

Let the assumed mean A = 25

Class interval Mid value(x1) d1 = x1 - 25 `"u"_1=(x_1-25)/10` f1 f1u1
0 -10 5 -20 -2 9 -18
10 - 20 15 -10 -1 12 -12
20 - 30 25 0 0 15 0
30 - 40 35 10 1 10 10
40 - 50 45 20 2 14 28
        N = 60 `sumf_1"u"_1=8`

We have

A = 25, h = 10

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

`=25+10xx8/60`

`=25+80/60`

= 25 + 1.333

= 26.333

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.3 | Q 9 | Page 23
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