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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   


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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