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.
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 $60$ $100$

Open in App

Solution

Median of a data set with $100$ data points is found as the mean of the $50^{t h}$ and $51^{s t}$ data point when arranged in ascending order.
In the given table, both occurs in the range of $35 - 40$ .
Hence, median age range of policy holders is $35 - 40$ year.

Suggest Corrections

Similar questions

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	$100$

Q. 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

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.

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

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.

Join BYJU'S Learning Program

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 $60$	$100$

Median of a data set with 100 data points is found as the mean of the 50th and 51st data point when arranged in ascending order.In the given table, both occurs in the range of 35−40.Hence, median age range of policy holders is 35−40 year.

Median of a data set with $100$ data points is found as the mean of the $50^{t h}$ and $51^{s t}$ data point when arranged in ascending order.
In the given table, both occurs in the range of $35 - 40$ .
Hence, median age range of policy holders is $35 - 40$ year.