SOLUTION: alegbra equations find n 1,2,9,9,10,11,n range:13 median:9 mode:9 mean:8

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Question 485785: alegbra equations find n
1,2,9,9,10,11,n
range:13
median:9
mode:9
mean:8

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
alegbra equations find n
1,2,9,9,10,11,n
range:13
median:9
mode:9
mean:8
range = largest value - smallest value

11 cannot be the largest value because then the range would be 11-1 or 10.

Therefore n has to be the largest value.

range = largest value - smallest value
   13 = n - 1
   14 = n

So if n=14 the range is 13.

The median and mode will still both be 9.

We have to check to make sure the mean will be 8, otherwise there'd
be no solution.

 1,2,9,9,10,11,n

becomes 

 1,2,9,9,10,11,14

and 

%281%2B2%2B9%2B9%2B10%2B11%2B14%29%2F7+=+56%2F7+=+8

The mean is indeed 8, so n=14 is the solution.

Edwin