a mean of 4
a median of 3
and a mode of 3?
One solution is 3, 3, 3 ,5 and 6 and there are several other solutions.
When you have found some solutions make very sure that you have found all possible solutions.
If I also tell you that the range is 10 can you now find one solution?
This activity is adapted from the NRICH task M, M and M with permission of the University of Cambridge. All rights reserved.