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Q.

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

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Detailed Solution

Class intervalFrequencyCumulative frequency
15-2022
20-2546
25-301824
30-352145
35-403378
40-451189
45-50392
50-55698
55-602100

Given data: n = 100 andn2= 50

Median class = 35-45

Then, l = 35, cf = 45, f = 33 & h = 5

Ncert solutions class 10 chapter 14-3

Median = 35+(50-4533) × 5

= 35 + (533)5

= 35.75

Therefore, the median age = 35.75 years.

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