Central Tendency & DispersionMTP June 2023 Series IQuestion 3258 of 473
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In case of extreme sampling fluctuations, which is the best measure of dispersion?

Options

AQuartile Deviation
BStandard Deviation
CMean Deviation
DRange
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Correct Answer

✅ Option a — Quartile Deviation

All Options:

  • AQuartile Deviation
  • BStandard Deviation
  • CMean Deviation
  • DRange

Detailed Solution & Explanation

Quartile deviation is calculated solely using the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which enclose the middle 50%\displaystyle 50\% of the data. Because it ignores the outer 50%\displaystyle 50\% of the observations (the tails where extreme values fluctuate the most), it is the most stable and best measure of dispersion in the case of extreme sampling fluctuations. Hence, **Option A** is the correct answer.

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