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Question

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

Age(in years)0101020203030404050Number ofPersons525?187


Solution

Class0101020203030404050Frequency525?187cf53030+?48+?55+?
Since, the median class is given 24.
Therefore, median class = 20- 30
l =20 , h =10, cf = 30, n2 = 55+x2
Median = l + n2cff × h
24 = 20 + 55+x230x × 10
24-20 = 55+x230x × 10
4 = 55+x230x × 10
0.4 = 55+x230x 
0.4x = 55+x602
0.8x = x-5
5 = 0.2 x
x = 25

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