Measures of Central Tendency and DispersionMCQMTP June 22Question 3254 of 473
All Questions

The Quartile deviation is

Options

A23\displaystyle \frac{2}{3} of SD
B45\displaystyle \frac{4}{5} of SD
C56\displaystyle \frac{5}{6} of SD
DNone of these
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Correct Answer

✅ Option a — 23\displaystyle \frac{2}{3} of SD

All Options:

  • A23\displaystyle \frac{2}{3} of SD
  • B45\displaystyle \frac{4}{5} of SD
  • C56\displaystyle \frac{5}{6} of SD
  • DNone of these

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Detailed Solution & Explanation

For a normal distribution, the relationship between the Quartile Deviation (Q.D.) and the Standard Deviation (S.D.) is given by: Q.D.≈23S.D.\text{Q.D.} \approx \frac{2}{3}\text{S.D.} Hence, **Option A** 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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