For $(2n+1)$ observations ${x_1},\, - {x_1}$, ${x_2},\, - {x_2},\,.....{x_n},\, - {x_n}$ and $0$ where $x$’s are all distinct. Let $S.D.$ and $M.D.$ denote the standard deviation and median respectively. Then which of the following is always true

  • A

    $S.D. < M.D.$

  • B

    $S.D. > M.D.$

  • C

    $S.D. = M.D.$

  • D

    Nothing can be said in general about the relationship of $S.D.$ and $M.D.$

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