Find five numbers so that the mean, median, mode and range are all 4?
The example set could be:
First you can notice that if the set was:
then it would fulfill 2 conditions: mean and median, but
the set does not have the mode because all numbers are the same,
the range is zero (again all numbers are the same)
To have the mode the set would have to have at least one element different from
Now to get the range the difference between the changed numbers should be
Finally we can get the set from the answer.