Central Tendency & DispersionMTP May 19 Series IIQuestion 3235 of 473
All Questions

Which measures of dispersions is not affected by the presence of extreme observations?

Options

ARange
BMean deviation
CStandard deviation
DQuartile deviation
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Correct Answer

✅ Option d — Quartile deviation

All Options:

  • ARange
  • BMean deviation
  • CStandard deviation
  • DQuartile deviation

Detailed Solution & Explanation

Measures of dispersion such as Range, Mean Deviation, and Standard Deviation take into account the extreme observations or all observations in the dataset. The **Quartile Deviation** is calculated solely using the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which represent the inner boundaries of the central 50%\displaystyle 50\% of the data. Thus, it is completely unaffected by the presence of extreme observations. Hence, **Option D** is the correct answer.

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