Question

3.
A life insurance agent found the following data about distribution of ages of 100 policy
holders. Calculate the median age. [Policies are given only to persons having age 18
years onwards but less than 60 years.]
Below Below Below Below Below Below Below Below Below
Age
(in years)
20
25
30
35
45
50
55
60
Number of
2
6
24
45
78
89
92
98
100​

Answer 1

Step-by-step explanation:

this is your answer

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Answer 2

Class intervalFrequencyCumulative frequency  15−202 2  20−254 6  25−3018 24  30−3521 45  35−4033 78  40−4511 89  45−503 92  50−556 98  55−602 100 ⇒  N=100 then, 2N=50

The cumulative frequency just greater then 50 is 78.

∴  Median class =35−40

Here, l=35,h=5,f=33,cf=45

Median=l+f2N−cf×h

⇒  Median=35+3350−45×5

⇒  Median=35+3325=35.76