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

This means that the sum of the five numbers must be $5 \cdot 14 = 70$
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 $\le 15$ and the other two are $\ge 15$.