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CA Foundation · Quantitative Aptitude · Theoretical Distributions

Which of the following statements about the normal distribution is correct?

The correct statement is that the mean, median and mode of a normal distribution are equal and the curve is symmetric about the mean. The distribution has zero skewness, peaks at the mean, and is asymptotic to the horizontal axis.

  1. AIts mean, median and mode are all equal and the curve is symmetric about the meanCorrect
  2. BIts mean is always greater than its median because of positive skewness
  3. CIts mode lies at the point where the curve has its minimum height
  4. DIts curve touches the horizontal axis at a finite distance from the mean

Explanation

For a normal distribution the curve is bell-shaped and perfectly symmetric about the mean, so mean, median and mode coincide. Skewness is zero, so the mean is not greater than the median. The curve is highest at the mode and never touches the x-axis, being asymptotic to it.

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