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Question

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

    xi        5        10        15        20        25        fi        7         4         6         3         5    


Solution

     xi          fi          fixi          |xi14|          fi|xi14|          5          7          35              9              63          10          4          40              4              16          15          6          90              1               6          20          3          60              6              18          25          5          125              11              55          25     350        158

Mean (¯¯¯x)=1N fixi=125×350=14Mean deviation about mean=1Nni1fi   |xi¯¯¯x|=125×158=6.32

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