Copyright © University of Cambridge. All rights reserved.

## 'M, M and M' printed from http://nrich.maths.org/

There are several sets of five positive whole numbers with the following properties:

- Mean = 4
- Median = 3
- Mode = 3

Can you find all the different sets of five positive whole numbers that satisfy these conditions?

Can you convince us you have found them all?

If I also tell you that the range is 10, can you identify my numbers?

Final Challenge

How many sets of five positive whole numbers are there with the following property?

Mean = Median = Mode = Range = a single digit number

Click here for a poster of this problem.