Theoretical DistributionsMCQMTP Dec 2023 Series IQuestion 3599 of 230
All Questions

If the Quartile Deviation of a normal distribution with mean 10\displaystyle 10 and SD 4\displaystyle 4 is

Options

A0.675\displaystyle 0.675
B67.50\displaystyle 67.50
C2.70\displaystyle 2.70
D3.20\displaystyle 3.20
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Correct Answer

Option c2.70\displaystyle 2.70

All Options:

  • A0.675\displaystyle 0.675
  • B67.50\displaystyle 67.50
  • C2.70\displaystyle 2.70
  • D3.20\displaystyle 3.20

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Detailed Solution & Explanation

**Quartile Deviation of a Normal Distribution** For a normal distribution, the Quartile Deviation (QD) is approximately related to the standard deviation (sigma\displaystyle \\sigma) by the formula: textQD=0.6745sigma\\text{QD} = 0.6745\\sigma **Given values:** - Mean (mu\displaystyle \\mu) = 10\displaystyle 10 - Standard Deviation (sigma\displaystyle \\sigma) = 4\displaystyle 4 **Calculation:** Substituting sigma=4\displaystyle \\sigma = 4 into the formula: textQD=0.6745times4=2.698approx2.70\\text{QD} = 0.6745 \\times 4 = 2.698 \\approx 2.70 This matches Option C. Hence, **Option C** is the correct answer.

About This Chapter: Theoretical Distributions

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Binomial, Poisson, Normal Distribution

This chapter covers Binomial, Poisson, Normal Distribution and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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