Theoretical DistributionsMCQPYQ Dec 22Question 3552 of 230
All Questions

Skewness of Normal Distribution is:

Options

ANegative
BPositive
CZero
DUndefined
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Correct Answer

✅ Option c — Zero

All Options:

  • ANegative
  • BPositive
  • CZero
  • DUndefined

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Detailed Solution & Explanation

**Skewness of a Normal Distribution** Skewness is a statistical measure of the asymmetry of a probability distribution around its mean. - A distribution is **symmetrical** if the left and right sides of the probability density function are mirror images of each other. For symmetric distributions, the mean, median, and mode coincide. - The normal distribution is a perfectly symmetrical, bell-shaped curve centered at the mean μ\displaystyle \mu. - The formula for the coefficient of skewness is: γ1=μ3σ3\gamma_1 = \frac{\mu_3}{\sigma^3} where μ3=E[(X−μ)3]\displaystyle \mu_3 = E[(X - \mu)^3] is the third central moment. For any symmetric distribution, the odd central moments are zero, so μ3=0\displaystyle \mu_3 = 0. Therefore, the skewness of a normal distribution is exactly zero. 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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