If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then |a| is equal to

If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then |a| is equal to

  1. A

    3

  2. B

    4

  3. C

    5

  4. D

    2

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    Solution:

    Median  a, 2a, . . . , 50 is 25a+26a2=(25.5)a

    Mean deviation about median  =i=150xi median n

     50=150{2|a|(0.5+1.5+2.5++24.5)} 2500=2|a|252(2×0.5+24×1)=2|a|252(25) |a|=4

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