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 person having age $18$ years onwards but less than $60$ years.
Age (in years)
No. of policy holders
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 $60$
$100$

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 person having age

18

years onwards but less than

60

years.

Filo · Accepted Answer

Here,

l = 35, n = 100, f = 33, c f = 45, h = 5

Median

= l + {\frac{\frac{n}{2} - c f}{f}} \times h

= 35 + {\frac{50 - 45}{33}} \times 5

= 35 + \frac{25}{33}

= 35 + 0.76

= 35.76

years

Question Text	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 person having age $18$ years onwards but less than $60$ years.
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified