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Question

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

xi 5 7 9 10 12 15 fi 8 6 2 2 2 6

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Solution

x1 fi e.f |xi7| fi|xi7| 5 8 8 2 16 7 6 14 0 0 9 2 16 2 4 10 2 18 3 6 12 2 20 5 10 15 6 26 8 48 26 84

N2=262=13

The e.f. just greater than 13 is 14 and corresponding value of x is 7.

Median = 7

M.D. about median = 1Nfi|xiM|

=126×84=3.23


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