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Grandpa's Rock Cakes

Weekly Problem 34 - 2012
Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?

M, M and M

Age 11 to 14 Challenge Level:

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.

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