Central Tendency & DispersionPYQ Nov. 19Question 3222 of 473
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The approximate ratio SD, MD, QD is:

Options

A3:4:5\displaystyle 3:4:5
B2:3:4\displaystyle 2:3:4
C15:12:10\displaystyle 15:12:10
D5:6:7\displaystyle 5:6:7
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Correct Answer

✅ Option c — 15:12:10\displaystyle 15:12:10

All Options:

  • A3:4:5\displaystyle 3:4:5
  • B2:3:4\displaystyle 2:3:4
  • C15:12:10\displaystyle 15:12:10
  • D5:6:7\displaystyle 5:6:7

Detailed Solution & Explanation

For a normal distribution, the relationship between the standard deviation (S.D.), mean deviation (M.D.), and quartile deviation (Q.D.) can be expressed as the ratio: Q.D.:M.D.:S.D.=10:12:15\text{Q.D.} : \text{M.D.} : \text{S.D.} = 10 : 12 : 15 Rearranging this to express the ratio of S.D. : M.D. : Q.D. gives: S.D.:M.D.:Q.D.=15:12:10\text{S.D.} : \text{M.D.} : \text{Q.D.} = 15 : 12 : 10 Hence, **Option C** is the correct answer.

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