Which statement about the normal distribution is true?

Which statement about the normal distribution is true?

• A. It has constant density across its range
• B. It is symmetric about its mean
• C. It is always skewed right
• D. It has a single peak at the extremes

Answer: (B)

The normal distribution is defined by a bell-shaped curve that is symmetric around its mean, so the center is the point where the curve peaks and where the mean, median, and mode all coincide. This symmetry means the left and right sides mirror each other, with density highest at the center and gradually decreasing toward both tails that extend indefinitely. It is a unimodal distribution, not flat, not skewed, and not peaking at the extremes. So the true statement is that it is symmetric about its mean.

The normal distribution is defined by a bell-shaped curve that is symmetric around its mean, so the center is the point where the curve peaks and where the mean, median, and mode all coincide. This symmetry means the left and right sides mirror each other, with density highest at the center and gradually decreasing toward both tails that extend indefinitely. It is a unimodal distribution, not flat, not skewed, and not peaking at the extremes. So the true statement is that it is symmetric about its mean.