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Question

Find the mean deviation about the median for the given data.

xi 15 21 27 30 35 fi 3 5 6 7 8

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Solution

xi fi e.f |xi30| fi|xi30| 15 3 3 15 45 21 5 8 9 45 27 6 14 3 18 30 7 21 0 0 35 8 29 5 40 29 148

N2=292=14.5

The e.f. just greater than 14.5 is 21 and corresponding value of x is 30.

Median = 30

M.D. about median = 1Nni=1fi|xiM|=129×148=5.1


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