Measures of Central Tendency and DispersionMCQPYQ Sep 24Question 3231 of 473
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In which of the following there is no impact of presence of extreme observations?

Options

ARange
BQuartile deviation
CStandard deviation
DVariance
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Correct Answer

✅ Option b — Quartile deviation

All Options:

  • ARange
  • BQuartile deviation
  • CStandard deviation
  • DVariance

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Detailed Solution & Explanation

Measures of dispersion like Range, Standard Deviation, and Variance are highly affected by extreme observations because their calculations involve the maximum and minimum values or all values in the dataset. Quartile deviation, however, is calculated based on only Q1\displaystyle Q_1 and Q3\displaystyle Q_3 (the 25th\displaystyle 25^{\text{th}} and 75th\displaystyle 75^{\text{th}} percentiles), which are unaffected by extreme values (outliers) in the tails. Hence, **Option B** 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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