jmc

Question

Six positive integers from a list of nine positive integers are 6, 7, 2, 4, 8, 5. What is the largest possible value of the median of this list of nine positive integers?

Accepted Answer

If we sort the numbers, we get 2,4,5,6,7,8. If we want to maximize the median, we should add three numbers larger than 8. This makes the median 7.