Missing Numbers

Find two missing numbers in a set given information such as the other eleven numbers and the mean and median of the set.


The mean of a thirteen-item data set is 320. Eleven of the items are 300, 320, 199, 175, 325, 520, 156, 225, 326, 421, and 504. The median is 325. Find the remaining two items in the set if it is known that these items have the greatest possible difference.

(Source: Mathematics Teaching in the Middle School, Nov-Dec 1996)