Measures of Central Tendency and DispersionMCQMTP June 2023 Series IQuestion 3258 of 473
All Questions

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

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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.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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