a set of 6 singles digit integers has a unique mode of 2. What is the largest possilbe median of the numbers?
If they consist of single digit integers, they must be in the set: { -9, -8, ..., -1, 0, 1, ..., 8, 9 }
If there is only one mode and that mode is 2, there must be no other digit used more than the 2 is used.
To get the largest possible median, try: 2, 2, 6, 7, 8, 9 which has a median of 6.5.