# Calculate the missing frequency form the following distribution, it being given that the median of the distribution is 24. Age in years: 0 - 10

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Calculate the missing frequency form the following distribution, it being given that the median of the distribution is 24.

 Age in years: 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 No. of persons: 5 25 ? 18 7

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 class interval Frequency Cumulative frequency 0 - 10 5 5 10 - 20 25 30 (F) 20 - 30 x (f) 30 + x 30 - 40 18 48 + x 40 - 50 7 55 + x N = 55 + x

Given,

Median = 24

Then median class = 20 - 30

l = 20, h = 10, f = x and F = 30

Median = l + $\frac{\frac{N}{2}-F}{f}$

$24 = 20+\frac{55+\frac{x}{2}30}{x}\times10$

4x = 275 + 5x – 300

4x – 5x = -25

-x = -25

x = 25

Therefore,

missing frequency = 25