Math Prize 2010 Problem 4
Source:
November 14, 2010
Problem Statement
Consider the sequence of six real numbers 60, 10, 100, 150, 30, and . The average (arithmetic mean) of this sequence is equal to the median of the sequence. What is the sum of all the possible values of ? (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.)