Theoretical DistributionsMCQPYQ Jan. 21Question 3546 of 230
All Questions

The quartile deviation of a normal distribution with mean 10 and standard deviation 4 is

Options

A54.24
B26.20
C0.275
D2.70
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Correct Answer

Option d2.70

All Options:

  • A54.24
  • B26.20
  • C0.275
  • D2.70

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Detailed Solution & Explanation

**Quartile Deviation of a Normal Distribution** For a normal distribution with mean μ\displaystyle \mu and standard deviation σ\displaystyle \sigma, the quartile deviation (QD) is approximately 0.6745\displaystyle 0.6745 times the standard deviation: QD0.6745σQD \approx 0.6745 \sigma **Given:** - Mean (μ\displaystyle \mu) =10\displaystyle = 10 - Standard Deviation (σ\displaystyle \sigma) =4\displaystyle = 4 **Calculation:** QD0.6745×4=2.698QD \approx 0.6745 \times 4 = 2.698 Rounding to two decimal places: QD2.70QD \approx 2.70 Hence, **Option D** 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.

Key Concepts to Understand

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