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The life insurance agent found the following data for the distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to the persons whose age is 18 years onwards but less than the 60 years.
Age (in years) Number of policy holder
Below 20 2
Below 25 6
Below 30 24
Below 35 45
Below 40 78
Below 45 89
Below 50 92
Below 55 98
Below 60 100

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Detailed Solution

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

Given data: n = 100 and $\frac{n}{2}$ = 50

Median class = 35-45

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

Ncert solutions class 10 chapter 14-3

Median = 35+( $\frac{50 - 45}{33}$ ) × 5

= 35 + ( $\frac{5}{33}$ )5

= 35.75

Therefore, the median age = 35.75 years.

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