1.

Find the mean of each of the following frequency distributions: Class interval: 0 - 8 8 - 16 16 - 24 24 - 32 32 - 40 Frequency: 6 7 10 8 9

Answer»

Let the assumed mean (A) = 20

 class interval Mid - value (xi) di = xi - 20 ui\(\frac{xi-20}{8}\) Frequencey (fi) fiui
 0 - 8 4 -16 -2 6 -12
 8 - 16 12 -8 -1 7 -17
 16 - 24 20 0  0 10 0
 24 - 32 28 8 1 8 8
 32 - 40 36 16 2 9 18
 N = 40\(\sum\)fiui = 7

We have,

 A = 20

h = 8

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

= 20 + 8 x \(\frac{7}{40}\)

\(=20 + 1.4 = 21.4\)



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