A teacher wants an average that depends on where the values sit in order rather than on how big they are, so that one very large value cannot pull it away from the rest of the data. Which average should the teacher use?

Explanation

The median is read off the middle of the ordered data, so replacing the largest value by an even larger one moves nothing except that value's own place at the end of the list. The mean comes closest to qualifying because it summarises the whole data set, but it divides the total by the count, and a single huge value raises the total and drags the result towards itself.