Problem:
Six numbers from a list of nine integers are , and . The largest possible value of the median of all nine numbers in this list is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The largest possible median will occur when the three numbers not given are larger than those given. Let , and denote the three missing numbers, where . Ranked from smallest to largest, the list is
so the median value is .