# Average Discovery

Find the missing number if the mean, median and mode are all the same.

## Problem

The mean, median and mode of five numbers are all the same.

If four of the numbers are 7, 7, 5 and 7, what is the fifth number?

## Student Solutions

Whatever the missing number is, the median and mode will still be 7.

For the mean to be 7, the total must be 35.

So the missing number is 9.