AHSME 1996 Problem 4

Six numbers from a list of nine integers are $7,8,3,5,9$ and $5$. The largest possible value of the median of all nine numbers in this list is $\text{(A)}\ 5 \text{(B)}\ 6 \text{(C)}\ 7 \text{(D)}\ 8 \text{(E)}\ 9$