Hi,
Calculate the Expected Value(Sum of PX) = μ = 0
Then Calculate the Variance(Sum of P[X-μ]^2) = 2.94
SD =
X P PX P[X-μ]^2
-4 0.02 -0.08 0.32
-3 0.07 -0.21 0.63
-2 0.1 -0.2 0.4
-1 0.15 -0.15 0.15
0 0.3 0 0
1 0.18 0.18 0.18
2 0.1 0.2 0.4
3 0.06 0.18 0.54
4 0.02 0.08 0.32
Sum 0 2.94