SOLUTION: The mean of the eight positive intergers (all < 10) 5,8,X,X,6,Y,6,5 is 7. Find the values of X and Y, and then state the median of the intergers.

Question 1020446: The mean of the eight positive intergers (all < 10) 5,8,X,X,6,Y,6,5 is 7. Find the values of X and Y, and then state the median of the intergers.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
7 being the mean of the eight numbers means that

==> 30+2x+y = 56
==> 2x+y = 26
Only two positive integers both less than 10 will satisfy the last equation, namely and .
Now that x and y are known, arrange the positive integers in an array:
5,5,6,6,8,8,9,9
The median of the data set will be the average of the two middle terms 6 and 8, namely .

RELATED QUESTIONS
The mode of the positive intergers 3,5,8,10,18,X,Y is 8, and their mean is Y. Find the... (answered by robertb)

The mean of eight numbers 4,6,4,7,x,x+1,8 and 2 is 5.Find... (answered by Boreal,MathLover1)

The mean of eight numbers 4,6,4,7,x,x+1,8 and 2 is 5.Find... (answered by MathLover1)

The mean of eight numbers 4,6,4,7,x,x+1,8 and 2 is 5.Find x (answered by MathLover1)

The mean of the numbers 1,3,X,Y,10,15 where X and Y are positive intergers is 7. Show... (answered by rothauserc)

if x and y are integers and y ≠ 0 then x/y is an integer which of the... (answered by nerdybill)

If x and y are integers and y#O (doesn't equal),then x/y is an integer. Which of the... (answered by jim_thompson5910)

Rizza obtained the following scores in a 10-item quiz: 8, 7, 5, 9, 10, 7, 6, and x. Find... (answered by ikleyn,greenestamps)

g(x)=(x+5)(x+1) h(x)=3x-8 find g/h(-6) and then find all values that are not in the... (answered by stanbon)