Question

A life insurance agent found the following data for the 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.

Answer 1

We have n = 100

So, n/2 = 100/2 = 50

The cumulative Frequency just greater than n/2 is 78 then the median class is 35 – 40 such that

the lower limit (l) = 35

cumulative frequency of the class preceding 35 – 40 (cf) = 45

frequency of the median class 35 – 40 = 33,

class size (h) = 5

Using the formula,

= 35 + 0.757

= 35.76

So, the median age of the policy holders is 35.76 years.