Central Tendency & DispersionMTP Mar 22Question 3107 of 473
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The deviations are minimum when taken from

Options

AMean
BMedian
CMode
DGM
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DGM

Detailed Solution & Explanation

The sum of the absolute deviations of a set of observations from any central value is minimized when the central value chosen is the **Median**. Mathematically, for a set of values x1,x2,…,xn\displaystyle x_1, x_2, \dots, x_n: ∑i=1n∣xi−A∣ is minimized when A=Median\sum_{i=1}^n |x_i - A| \text{ is minimized when } A = \text{Median} Hence, **Option B** is the correct answer.

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