Question

Determine all possible values of the integer m such that the median and mean of the five integers 3, 6, 9, 11 and m are the same.

Answer 1

If m is in the middle, 3 6 m 9 11
then m can be any of 6,7,8,9
For those values, the mean is 7, 7.2, 7.4, 7.6, 7.8
so, m cannot be in the middle.

Now you try other positions and possible results. It's not hard; just be careful.

Answer 2

m=1,16? Thanks