Question

A list of 5 positive integers has the following properties: the only integer in the list that occurs more than once is 8; the median of the numbers in the list is 9; and the average of the numbers in the list is 10. What is the largest possible integer that could appear in the list?

Answer 1

Its been awhile, but does median mean the middle number, Ex: (1,4,9) median=4?

Answer 2

and does the list have to go from smallest to largest?

Answer 3

I think I am right; so lets try this:

(8,8,9,x,y)

and

(8+8+9+x+y)/5 = 10
25+x+y= 50
x+y=25

10 is the next smallest interger; and 10 + 15 = 25.
So I would say that 15 is the largest interger that could apper in the list.

Answer 4

the more math I learn, the worse my spelling gets :)

Answer 5

that looks right thank you soo much