SOLUTION: if the mean of the numbers 1,3,4,(k-5),7,(k-1), and 8 is 5, find the value of k and the standard deviation of the distribution?

Algebra ->  Average -> SOLUTION: if the mean of the numbers 1,3,4,(k-5),7,(k-1), and 8 is 5, find the value of k and the standard deviation of the distribution?      Log On


   

Question 1118693: if the mean of the numbers 1,3,4,(k-5),7,(k-1), and 8 is 5, find the value of k and the standard deviation of the distribution?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Mean, as in "average", 5; of the seven numbers,

%281%2B3%2B4%2B7%2B8%2B%28k-5%29%2B%28k-1%29%29%2F7=5
.
.
highlight%28k=9%29




standard deviation, sqrt%28%2816%2B4%2B4%2B1%2B1%2B9%2B9%29%2F%287-1%29%29=2.7.