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To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:
To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:
Now we need those difference squared:
The variance is the mean of this new vector, so
Finally, the standard deviation is simply the square root of the variance, so you have
For this case we must simplify the following expression:
By definition of the law of multiplication signs we have to:
So, rewriting the expression we have:
Thus, the answer in decimal form is 1.15.
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