How do you write down 5 numbers where the mean, median, and mode are all 6?

1 Answer
Mar 29, 2017

A sample set can be: #{5,6,6,6,7}#. See explanation.


The simplest set with mean and median equal to #6# would be if all the numbers in the set were #6#, but this set does not satisfy the mode condition. If all elements in the set are equal, then the mode is undefined.

However it is enough to change 2 elements to get the mode equal to #6#. If you add any number to 1 element and subtract the same number from the other number the mode will be defined (different numbers in the set appear) and the median and mean remain unchanged.

The example set can be : #{5,6,6,6,7}#