If the mean of a symmetric distribution is 82, which of these values is most likely to be the median of the distribution?

a. 85

b. 82

c. 78

d. 92

In a perfectly symmetric distribution, the median is equal to the mean. So median = 82 as well. This is because the amount of values to the left of the mean is also the same as the amount of values to the right of the mean. The mean is right in the middle in the same location as the median.

choice B) 82

Extra info: If the distribution is skewed to the left, then the mean < median and vice versa. If we have a right skewed distribution, then mean > median and vice versa. The skewed tail drags the mean to come closer to it.