Which of the following measure of central tendency depends on the position of the observation?
Options
AMean
BMedian
CMode
DHarmonic Mean
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Measures of Central Tendency and DispersionMCQPYQ June 24Question 2965 of 473
All Questions Correct Answer
✅ Option b — Median
All Options:
- AMean
- BMedian
- CMode
- DHarmonic Mean
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Detailed Solution & Explanation
The median is defined as the middle-most value of a dataset when arranged in ascending or descending order. Because its calculation is based purely on the positional ranking of the data points, it depends on the position of the observations rather than their exact mathematical values. The Arithmetic Mean, Geometric Mean, and Harmonic Mean are mathematical averages that depend on the actual values of all observations.
Hence, **Option B** 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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