1.

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

Answer»
 class interval Frequency Cumulative frequency
 0 - 10 55
 10 - 202530 (F)
 20 - 30x (f)30 + x
 30 - 401848 + x
 40 - 50755 + 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


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