Measures of Central Tendency and DispersionMCQMTP Dec 22 - Series IQuestion 3255 of 473
All Questions

The approximate ratio of SD: MD: QD is

Options

A2:3:4\displaystyle 2:3:4
B3:4:5\displaystyle 3:4:5
C15:12:10\displaystyle 15:12:10
D5:6:7\displaystyle 5:6:7
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Correct Answer

✅ Option c — 15:12:10\displaystyle 15:12:10

All Options:

  • A2:3:4\displaystyle 2:3:4
  • B3:4:5\displaystyle 3:4:5
  • C15:12:10\displaystyle 15:12:10
  • D5:6:7\displaystyle 5:6:7

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Detailed Solution & Explanation

For a normal distribution, the relationship between the standard deviation (S.D.), mean deviation (M.D.), and quartile deviation (Q.D.) is given by the ratio: S.D.:M.D.:Q.D.=15:12:10\text{S.D.} : \text{M.D.} : \text{Q.D.} = 15 : 12 : 10 Hence, **Option C** 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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