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.

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}# **