Question

A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are only given to persons having age 18 years onwards but less than 60 years.
$\begin{array}{cc}\text{Age in years}& \text{Number of policy holders}\\ \text{Below 20}& 2\\ \text{Below 25}& 6\\ \text{Below 30}& 24\\ \text{Below 35}& 45\\ \text{Below 40}& 78\\ \text{Below 45}& 89\\ \text{Below 50}& 92\\ \text{Below 55}& 98\\ \text{Below 60}& 100\end{array}$

Answer 1

Class interval Frequency Cumulative frequency 15-20 2 2 20-25 4 6 25-30 18 24 30-35 21 45 35-40 33 78 40-45 11 89 45-50 3 92 50-55 6 98 55-60 2 100

Where, n = 100 and = 50

Median class = 35-45

Then, l = 35, cf = 45, f = 33 & h = 5

Median= l +( ) h

= 35 + ()5
= 35 + ()

=35.75

Hence the median age is 35.75 yrs