# Find the Mean of Each of the Following Frequency Distributions: (5 - 14) - Mathematics

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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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.3 | Q 5 | Page 22