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Question: Answered & Verified by Expert
If M.D. is 12, the value of S.D. will be (where M.D. is mean deviation and S.D. is standard deviation)
MathematicsStatisticsJEE Main
Options:
  • A $15$
  • B $12$
  • C $24$
  • D None of these
Solution:
2744 Upvotes Verified Answer
The correct answer is: $15$
We know that Q.D. $=\frac{5}{6} \times$ M.D. $=\frac{5}{6} \times 12=10$
$\therefore$ S.D. $=\frac{3}{2} \times$ Q.D. $=\frac{3}{2} \times 10 \Rightarrow$ S.D. $=15$.
where Q.D. is Quartile Deviation, S.D. is Standard deviation and M.D. is Mean deviation.

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