1.

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 22166534

Answer»

Let the assumed mean (A) = 42

 Class interval Mid value (xi) di = xi - 42Ui = \(\frac{xi-42}{5}\) Frequency (fi) fiui
 25 - 29 27-15-314-42
 30 - 34 32-10-222-44
 35 - 39 37-5-116-16
 40 - 44 420060
 45 - 49 475155
 50 - 54 5210236
 55 - 59 57153412
 N = 10\(\sum\)fiui = -79

We have, 

A = 42

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

\(=42+5\times\frac{-79}{10}\)

\(=42-\frac{79}{14}\)

\(=\frac{588-79}{14}\)

\(=36.357\) 


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