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  • 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 year.

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.

3.3

Answers (1)

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Class

Frequency

 f_i

Cumulative

Frequency
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


N= 100 \implies \frac{N}{2} = 50
Therefore, Median class = 35-45
Frequency corresponding to median class, f = 21
Cumulative frequency of the class preceding the median class, c.f. = 24
Lower limit, l = 35; Class height, h = 10

Median = l + \left (\frac{\frac{n}{2}-c.f}{f} \right ).W
\\ = 35 + \left (\frac{50-45}{33} \right ).5 \\ \\

= 35.75

Thus, median age is 35.75 years.

Posted by

HARSH KANKARIA

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