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 persons having age 18 years onward but less than 60 years.

Age in years Number of policy holders

Below 20
Below 25
Below 30
Below 35
Below 40
Below 45
Below 50
Below 55
Below 60 2
6
24
45
78
89
92
98
100

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Solution

We prepare the cumulative frequency, table as given below.

Now, we have

So,

Now, the cumulative frequency just greater than 50 is 78 and the corresponding class is .

Therefore, is the median class.

Here,

We know that

Hence, the median age is 35.76 years.

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Question 3
A 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 persons having age 18 years onwards but less than 60 years.

$\begin{matrix} A g e (i n y e a r s) & N u m b e r o f p o l i c y h o l d e r s B e l o w 20 & 2 B e l o w 25 & 6 B e l o w 30 & 24 B e l o w 35 & 45 B e l o w 40 & 78 B e l o w 45 & 89 B e l o w 50 & 92 B e l o w 55 & 98 B e l o w 60 & 100 \end{matrix}$

Q. 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 onward but less than

60

year.

Age (in years)	Number of policy holders
Below $20$ Below $25$ Below $30$ Below $35$ Below $40$ Below $45$ Below $50$ Below $55$ Below $60$	$2$ $6$ $24$ $45$ $78$ $89$ $92$ $98$ $100$

Q. 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 on wards but less than

60

years.

Age in years	Number 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	$100$

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 persons having age 18 years onwards but less than 60 years.
$\begin{matrix} Age in years & Number of policy holders Below 20 & 2 Below 25 & 6 Below 30 & 24 Below 35 & 45 Below 40 & 78 Below 45 & 89 Below 50 & 92 Below 55 & 98 Below 60 & 100 \end{matrix}$

A 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 persons having age 18 years onwards but less than 60 years.

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Age in years	Number of policy holders
Below 20 Below 25 Below 30 Below 35 Below 40 Below 45 Below 50 Below 55 Below 60	2 6 24 45 78 89 92 98 100

We prepare the cumulative frequency, table as given below. Now, we have So, Now, the cumulative frequency just greater than 50 is 78 and the corresponding class is . Therefore, is the median class. Here, We know that Hence, the median age is 35.76 years.

We prepare the cumulative frequency, table as given below.

Now, we have

So,

Now, the cumulative frequency just greater than 50 is 78 and the corresponding class is .

Therefore, is the median class.

Here,

We know that

Hence, the median age is 35.76 years.