In any discrete series (when all values are not same) the relationship between M.D. about mean and S.D. is 

In any discrete series (when all values are not same) the relationship between M.D. about mean and S.D. is 

  1. A

    M.D.=S.D

  2. B

    M.D. S.D.

  3. C

    M.D.<S.D.

  4. D

    M.D. S.D.

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    Solution:

    Let xi/fi;i=1,2,,n be a frequency

    distribution. Then,

    =1Ni=1nfixiX¯2 and  M.D. =1Ni=1nfixiX¯

    let xiX¯=zi;i=1,2,,n. Then,

     (S.D.) 2( M.D. )2=1Ni=1nfizi21Ni=1nfizi2=σz20

     S.D. > M.D. 

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