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M, M and M

Age 11 to 14
Challenge Level Yellow star
Secondary curriculum
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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.

Related Collections

  • Finding all solutions (Teacher)
  • Finding all solutions (Teacher)
  • Finding all solutions
  • Working Systematically - Lower Secondary

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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