Find five numbers so that the mean, median, mode and range are all 4?
1 Answer
Mar 7, 2018
Answer:
The example set could be:
#S={2,4,4,4,6}#
See explanation.
Explanation:
First you can notice that if the set was:
#S_1={4,4,4,4,4}#
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.