Practice problem
Solving Equations: Word Problems - Examples & Practice
Consider the sequence of six real numbers , , , , , and .
The average (arithmetic mean) of this sequence is equal to the median of the sequence.
(Note: The median of a sequence of six real numbers is the average of the two middle numbers after all the numbers have been arranged in increasing order.)
Source: Math Prize for Girls
What is the sum of all the possible values of ?