Bunuel wrote:
Three people have $32, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
(A) $72
(B) $85
(C) $98
(D) $101
(E) $202
The total number of dollars is 32 + 72 + 98 = 202.
The first person could have 0 dollars, the next person 101 dollars, and the next person 101 dollars.
Thus, the maximum value of the median is 101.
Answer: D
