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Question: calculation of the standard deviation

Question:calculation of the standard deviation

herclau 1038 Maple
integral student
February 05 2010
0 
Hi all,

My problem is not in the calculation of the standard deviation of a 
uniform distribution, but in where they got the formula.  I find it 
easier for me to learn if I understand the formulas as well as knowing 
where to plug in the numbers.  

In the equation Std. deviation = (b-a)/ square root of 12, where did 
the square root of 12 come from? 

 f(x) = 1/(b-a)   for a < x < b

                 = 0  elsewhere.


E(f(x))=?

Var(f(x))=?

I can not handle piecewise within the integral, and then perform simplification
 to achieve results.

Gracias
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