Which of the following measure does not possess mathematical properties?
Options
AArithmetic mean
BGeometric mean
CHarmonic mean
DMedian
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Measures of Central Tendency and DispersionMCQPYQ Jan. 21Question 2944 of 473
All Questions Correct Answer
✅ Option d — Median
All Options:
- AArithmetic mean
- BGeometric mean
- CHarmonic mean
- DMedian
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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.
About This Chapter: Measures of Central Tendency and Dispersion
Paper
Paper 3: Quantitative Aptitude
Weightage
12-15 Marks
Key Topics
Mean, Median, Mode, Range, Mean Deviation, Standard Deviation
The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.
View Official ICAI SyllabusExam Strategy Tip
Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.
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