Measures of Central Tendency and DispersionMCQPYQ Nov. 19Question 3124 of 473
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Coefficient of variation is equal to:

Options

ASDMean\displaystyle \frac{\text{SD}}{\text{Mean}}
BSDMean×100\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100
CMeanSD×100\displaystyle \frac{\text{Mean}}{\text{SD}} \times 100
DMeanSD\displaystyle \frac{\text{Mean}}{\text{SD}}
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Correct Answer

✅ Option b — SDMean×100\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100

All Options:

  • ASDMean\displaystyle \frac{\text{SD}}{\text{Mean}}
  • BSDMean×100\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100
  • CMeanSD×100\displaystyle \frac{\text{Mean}}{\text{SD}} \times 100
  • DMeanSD\displaystyle \frac{\text{Mean}}{\text{SD}}

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Detailed Solution & Explanation

The coefficient of variation (C.V.) is a relative measure of dispersion that expresses the standard deviation as a percentage of the arithmetic mean. The formula is given by: Coefficient of Variation=Standard DeviationArithmetic Mean×100\text{Coefficient of Variation} = \frac{\text{Standard Deviation}}{\text{Arithmetic Mean}} \times 100 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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