Central Tendency & DispersionPYQ Jan. 21Question 2944 of 473
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Which of the following measure does not possess mathematical properties?

Options

AArithmetic mean
BGeometric mean
CHarmonic mean
DMedian
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Correct Answer

✅ Option d — Median

All Options:

  • AArithmetic mean
  • BGeometric mean
  • CHarmonic mean
  • DMedian

Detailed Solution & Explanation

Among the measures of central tendency, the Arithmetic Mean, Geometric Mean, and Harmonic Mean all possess nice mathematical properties (such as being algebraically manipulable, having formulas for combined groups, and taking every observation into account). On the other hand, the Median is a positional average that does not possess such algebraic and mathematical properties. For example, there is no simple formula to find the combined median of two groups from their individual medians and sizes. Hence, **Option D** is the correct answer.

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