Question

A life insurance agent found the following data for distribution of ages of 100 policy holders.

Age in years	Policy Holders (frequency)	Cumulative frequency
20 – 25	2	2
25 – 30	4	6
30 – 35	12	18
35 – 40	20	38
40 – 45	28	66
45 – 50	22	88
50 – 55	8	96
55 – 60	4	100

On a graph sheet draw an ogive using the given data. Take 2 cm = 5 years along one axis and 2 cm = 10 policy holders along the other axis.

Use your graph to find:

1. The median age.
2. Number of policy holders whose age is above 52 years.

Answer 1

Here, N = 100

Then, `N/2 = 100/2 = 50`

a. Median age = 43 years

b. Number of policy holders who are 52 years old = 85

∴ Required number of policy holders = 100 – 85 = 15