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.
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 202
Below 256
Below 3024
Below 3545
Below 4078
Below 4589
Below 5092
Below 5598
Below 60100

Solution:

Class interval      Frequency           Cumulative recurrence

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 information: n = 100 and n/2 = 50

Middle class = 35-45

Then, at that point, l = 35, cf = 45, f = 33 and h = 5

Ncert solutions class 10 chapter 14-3

\[\begin{array}{*{35}{l}}

   Middle\text{ }=\text{ }35+\left( \left( 50-45 \right)/33 \right)\text{ }\times \text{ }5  \\

   ~  \\

   =\text{ }35\text{ }+\text{ }\left( 5/33 \right)5  \\

   ~  \\

   =\text{ }35.75  \\

\end{array}\] Thusly, the middle age = 35.75 years.