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## '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?

*If you enjoyed this problem, you may be interested in Unequal Averages.*

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