Determining the standard deviation from a set of data.

An elf at the Keebler factory checks to see that packages of cookies are properly filled by randomly selecting six packages from a box of 50 and weighing them. He makes the following measurements in ounces:
{17, 18, 18, 16, 16, 15}.

What is the standard deviation?

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Solution Preview of the standard deviation for n numbers x1,x2,..,xn is :

{sum of (xi-xbar)^2}/(n-1), with i from 1 to n

First compute ...