# Four numbers have a mean and median of 10, none of the numbers are 10. What are the four numbers?

##### 1 Answer

There are many possible solutions.

#### Explanation:

There are many sets of four numbers which will meet these requirements.

If the mean if the four numbers is 10, it means their total is

If the median is 10, then two of the numbers have to be less than 10 and two are greater than 10.

The two middle numbers have to be an equal distance from 10.

So we could have

So we could have

or we could have

or

or

even