Question

If the mean of a symmetrical distribution is 42, which of these values could be the median of the distribution?

Answer 1

In a symmetrical distribution (eg: normal distribution), the mean and median are the same value at the very center of the distribution. If the mean is 42, then so is the median.

Answer: 42

Answer 2

42

Explanation:

The median of a distribution is the exact center of the distribution, you start taking out numbers equally from the outside to the center, and eventually you will find the median, in a symmetrical distribution that means that there are the same number of values to the sides of the median, and the mean of a symmetrical distribution is always going to be equal to the median, so in this case the median and the mean would be the same, 42.