Measures of Central Tendency and DispersionMCQPYQ June 24Question 2964 of 473
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Which of the following measure of central tendency will be unaffected if the lowest and highest observation are removed?

Options

AMean
BMode
CMedian
DRange
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Correct Answer

✅ Option c — Median

All Options:

  • AMean
  • BMode
  • CMedian
  • DRange

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Detailed Solution & Explanation

The median of a dataset is the middle-most value when the data is arranged in order. It depends solely on the positions of the observations and is completely independent of the actual numerical values of the extreme observations (the lowest and highest values). Therefore, if the lowest and highest observations are removed or changed, the median remains completely unaffected. In contrast, the Mean depends on the values of all observations, and the Range depends directly on the extreme values. Hence, **Option C** 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 Syllabus

Exam 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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