Measures of Central Tendency and DispersionMCQMTP May 19 Series IIQuestion 3235 of 473
All Questions

Which measures of dispersions is not affected by the presence of extreme observations?

Options

ARange
BMean deviation
CStandard deviation
DQuartile deviation
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Correct Answer

Option dQuartile deviation

All Options:

  • ARange
  • BMean deviation
  • CStandard deviation
  • DQuartile deviation

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Detailed Solution & Explanation

Measures of dispersion such as Range, Mean Deviation, and Standard Deviation take into account the extreme observations or all observations in the dataset. The **Quartile Deviation** is calculated solely using the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which represent the inner boundaries of the central 50%\displaystyle 50\% of the data. Thus, it is completely unaffected by the presence of extreme observations. 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 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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