The “average” is a commonly reported statistic.

This single bit of information can be very informative or very misleading, with the mean and median being the two most commonly reported.

a. The mean is a useful measure, but it can be misleading. Describe a circumstance when the mean is very useful as the average and a circumstance when the mean is very misleading as the average.

b. The median is a useful measure, but it can be misleading. Describe a circumstance when the median is very useful as the average and a circumstance when the median is very misleading as the average.