In a normal distribution, which of the following statements is true regarding the $\mathrm{mean}$ and the $\mathrm{median}$?

• A. The $\mathrm{mean}$ and $\mathrm{median}$ cannot be compared in a normal distribution.
• B. The $\mathrm{mean}$ is equal to the $\mathrm{median}$.
• C. The $\mathrm{mean}$ is less than the $\mathrm{median}$.
• D. The $\mathrm{mean}$ is greater than the $\mathrm{median}$.

Answer: (B)

Verified step by step guidance

1. Recall the properties of a normal distribution, which is symmetric about its center.
2. Understand that in a symmetric distribution, the measures of central tendency—mean, median, and mode—are all located at the same point.
3. Recognize that the mean is the average value, calculated by summing all data points and dividing by the number of points.
4. Know that the median is the middle value when the data is ordered from smallest to largest.
5. Conclude that because the normal distribution is symmetric, the mean and median are equal.