SOLUTION: The mode of the positive intergers 3,5,8,10,18,X,Y is 8, and their mean is Y. Find the values of X and Y.

Algebra ->  Probability-and-statistics -> SOLUTION: The mode of the positive intergers 3,5,8,10,18,X,Y is 8, and their mean is Y. Find the values of X and Y.       Log On


   

Question 1020228: The mode of the positive intergers 3,5,8,10,18,X,Y is 8, and their mean is Y. Find the values of X and Y.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Based on the given information, we have
%283%2B5%2B8%2B10%2B18%2Bx%2By%29%2F7+=+y, since y is the mean of the seven positive integers.
<==>44%2Bx%2By+=+7y
==> 44 + x = 6y
Now since 8 is the mode , and the known values of the data are distinct, either x or y is equal to 8.
If we let x = 8, then the corresponding value of y is 26/3, which is not acceptable.
Hence highlight%28y+=+8%29, and 44 + x = 48 ==> highlight%28x+=+4%29.