A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.
If the median of a list of distinct integers is 5.5, then the middle two are 5 and 6. The average can be as large as possible, but the smallest such list is 1,2,3,4,5,6,7,8,9,10, of which the average is 5.5