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.
Since you want the least average, then you want the most amount of small numbers
There has to be a 5.5 median so the list would have to have one 5 and one 6.
so the list would be 1,2,3,4,5,6,7,8,9,10 since there cannot be reapeats
1+2+3+4+5+6+7+8+9+10 is 11* 5 since 1+10 is 11 2+9 is 11...
so the average is 55/10 or 5.5