Central Tendency & DispersionPYQ Dec 22Question 2958 of 473
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Mean deviation is minimum when deviations are taken from:

Options

AMean
BMedian
CMode
DHarmonic Mean
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DHarmonic Mean

Detailed Solution & Explanation

The mean deviation (M.D.) of a set of observations is the arithmetic mean of the absolute values of the deviations of the observations from some average (Mean, Median, or Mode). A mathematical property of mean deviation is that the mean deviation is minimum when the deviations are taken from the **Median**. Mathematically, for a set of values xi\displaystyle x_i: 1n∑i=1n∣xi−A∣ is minimum when A=Median\frac{1}{n} \sum_{i=1}^n |x_i - A| \text{ is minimum when } A = \text{Median} Hence, **Option B** is the correct answer.

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