1.

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

Answer»

Let the assumed mean (A) = 20

 class interval Mid value (xi) di = xi - 20 ui = \(\frac{xi-20}{8}\) Frequency (fi) fiui
 0 - 8 4-16-25-10
 8 - 16 12 -8-19-9
 16 - 24 20 00 100
 24 - 32 28 8 188
 32 - 40 36 162 816
 N = 40\(\sum\)fiui = 5

We have, 

A = 20

h = 8

Mean = A + h x \(\frac{\sum f_iu_i}{N}\)

\(=20 + 8 \times\frac{5}{40}\)

\(=20+1.4 = 21.4\)


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