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?

7

Step-by-step explanation:

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.

7 will be the median.