M, M and M

Stage: 3 Challenge Level: Challenge Level:1

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

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