Central Tendency & DispersionPYQ 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

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.

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