If the mean of a normal distribution is 315, what is the median of the distribution?A.315B.420C.210D.105SUBMITarrow_backPREVIOUS

Breakdown the Problem

1. Identify the key characteristics of a normal distribution.
2. Understand the relationship between the mean and median in a normal distribution.

Relevant Concepts

• In a normal distribution, the mean, median, and mode all coincide. This means that for any normal distribution, the mean is equal to the median.

Analysis and Detail

1. Given that the mean of the normal distribution is 315, we can directly infer the value of the median.
2. Since the properties of normal distributions ensure that the mean and median are identical, we conclude that the median is also 315.

Verify and Summarize

1. The mean of the distribution is confirmed to be 315.
2. Thus, the median must also be 315 based on the properties of normal distributions.

Final Answer

The median of the distribution is A. 315.