1996 AHSME 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\qquad\text{(B)}\ 6\qquad\text{(C)}\ 7\qquad\text{(D)}\ 8\qquad\text{(E)}\ 9

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.