Measures of Central Tendency and DispersionMCQPYQ Nov. 20Question 2942 of 473
All Questions

Which one of these is least affected by extreme value?

Options

AMean
BMedian
CMode
DNone of these
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DNone of these

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Detailed Solution & Explanation

Among the measures of central tendency, the arithmetic mean is highly affected by extreme values because it takes into account the magnitude of every observation. The median is a positional average and is not affected by extreme values since it only depends on the middle-most value(s) after ordering the data. Similarly, the mode, which is the value with the highest frequency, is generally least affected by extreme values. In many standard textbooks, both median and mode are highlighted as being unaffected by extreme values, with median being particularly least affected by extreme values among the standard positional averages. Therefore, Option B is the correct choice. 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 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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