Dice throw, avg.,standard deviation

[Pushoam]

Homework Statement

Homework Equations

The Attempt at a Solution

Let's denote the result of the throw by the variable x.
$<x> = Σ_i P_i x_i , i = 1,2,3,...,6. \\= \frac{1+2+3+4+5+6}{6} \\<x^2> = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{6} \\σ_x = \sqrt{<x^2> - <x>^2}$
Is this correct?

 

[jambaugh]

Your formulas appear to be correct.
you should get a standard deviation of the form: $\sigma_x \approx$ *.**7825.