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Question: Answered & Verified by Expert
In any discrete series (when all values are not same) if $x$ represents mean deviation about mean and $y$ represents standard deviation, then which one of the following is correct?
MathematicsStatisticsNDANDA 2018 (Phase 2)
Options:
  • A $y \geq x$
  • B $y \leq x$
  • C $x=y$
  • D $x < y$
Solution:
1410 Upvotes Verified Answer
The correct answer is: $x < y$
$x=\mathrm{M}, \mathrm{D}_{-,}, y=\mathrm{S} . \mathrm{D}$.
$$
\mathrm{M}, \mathrm{D},=\frac{4}{5} \mathrm{S.D.} \Rightarrow x < y
$$

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