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M, M and M

Age 11 to 14
Challenge Level

M, M and M printable sheet

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 explain how you know you've found them all?

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

Click here for a poster of this problem.