Question

Which one of the following is not correct for a normal distribution? Explain your choice.

A. The density curve is symmetric and the mean is at the center of the symmetry of the curve.
B. The standard deviation is the distance from the center to the change-of-curvature points on either side.
C. The quartiles are located about 1 standard deviation away from the mean.

Answer 1

Option C is not correct for a normal distribution. The quartiles in a normal distribution are located about 1.5 standard deviations away from the mean, not just 1 standard deviation away.

Step-by-step explanation:

Option C is not correct for a normal distribution. The quartiles in a normal distribution are located about 1.5 standard deviations away from the mean, not just 1 standard deviation away.

In a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, so the quartiles are further away from the mean.

The correct statement for a normal distribution is that the quartiles are located about 1.5 standard deviations away from the mean.