Suppose ten distinct, positive integers have a median of 10 . ("Distinct integers" means that no two integers are the same.) What is the smallest the average of those ten integers could be?
1, 2, 3, 4, 9, 11, 12, 13, 14, 15 gives the smallest average = 8.4
Deleted.....see CPhill 's answer below
+36916 
