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Question

The monthly salary brackets of the employees of a company (in Rs) and the corresponding number of employees is tabulated below. Find M.D(M)

Salary (Rs/Month)Number of employees0−200002020000−400002540000−600001560000−800001280000−1000008

A
Rs 12800
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B
Rs 14100
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C
Rs 18600
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D
Rs 21500
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Solution

The correct option is D Rs 21500
ClassFrequencyCumulative frequency020000202020000400002545400006000015606000080000127280000100000880

Here, N = 80
N2=40

Hence, median class is 20000-40000

Median=L+N2c.ff×h=20000+402025×20000=Rs 36000

Deviations from the median are tabulated below

X (class midpoint)FD=|XM|FD1000020260005200003000025600015000050000151400021000070000123400040800090000854000432000 F=80FD=1720000

M.D(M)=172000080=Rs 21500

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