Measures of Central Tendency and DispersionMCQMTP May 19Question 2968 of 473
All Questions

The presence of extreme observations does not affect

Options

AAM
BMedian
CMode
DAny of these
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Correct Answer

✅ Option b — Median

All Options:

  • AAM
  • BMedian
  • CMode
  • DAny of these

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Detailed Solution & Explanation

The presence of extreme observations (outliers) has a significant effect on mathematical averages like the Arithmetic Mean, which is calculated by summing all values. However, positional averages like the Median are completely unaffected by extreme values because the median is determined solely by the position of the middle values. Changing the magnitude of extreme values does not alter the position or value of the middle term(s). Mode is also generally unaffected, but median is the most robust positional measure. Thus, Option B is correct. 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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