# A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years.

## Solution :

We are given the cumulative frequency distribution.

So, we first construct a frequency table from the given cumulative frequency distribution and then we will make necessary computations to compute median.

Here, n = 100 So, $$n\over 2$$ = 50

We see that the cumulative frequency just greater than $$n\over 2$$, i.e. 50 is 78 and the corresponding class is (35 – 40), So, it is the median class.

$$\therefore$$ l = 35, cf = 45, f = 33 and h = 5.

Now, let us substitute these values in the formula

Median = l + ($${n\over 2} – cf\over f$$) $$\times$$ h = 35 + $$5\over 33$$ $$\times$$ 5

= 35 + 0.76 = 35.76

Hence, the median age is 35.76 years.