# What combination of seven numbers has a mean of 45, median of 40, and a mode 50?

##### 1 Answer

Oct 21, 2015

There are many possible solutions:

are two possibilities

#### Explanation:

Arranged in ascending order we know that the middle term must be

The sum of the terms must be

Two of the terms must be

So we have a requirement:

where

and

There are lots of solutions which meet this requirement.