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.
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.
The median is the value that there are an equal number of values smaller and larger than it.
It would look like this: n n n n 5 6 n n n n
The smallest distinct positive numbers are 1 2 3 4 on the left (0 is not positive)
and 7 8 9 10 on the right.
The average of the above listed numbers is 55 / 10 = 5.5
.