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?
If we sort we will get 2,4,5,6,7,8. If we want the median to be the largest possible value we add three more numbers greater than 8. 2,4,5,6,7,8,x,x,x.
