Question

How do you find five numbers which have a mean of 14 and a median of 15?

Answer 1

If the median has to be 15 then the third number (in order of size) has to be 15.

So you now have to find two numbers smaller than (or equal to) 15, and two that are larger than (or equal to) 15, so that their mean is 14.

This means that the sum of the five numbers must be `5*14=70`
We allready have the `15` so you may take any combination of four additional numbers that add up to `70-15=55`, as long as two of them are `<=15` and the other two are `>=15`.