# Answer on Statistics and Probability Question for Brittany

Question #1162

Calculate SS variance and standard deviation for the following sample of n = 5 scores&

10, 3, 8, 0, 4 &

10, 3, 8, 0, 4 &

Expert's answer

The mean is

X = (10+3+8+0+4)/5 = 5

The variance is the average of the squared difference s from the mean:

σ

The standard deviation equals to square root of the variance:

σ = √ (12.8) = 3.58

X = (10+3+8+0+4)/5 = 5

The variance is the average of the squared difference s from the mean:

σ

^{2}= (5^{2}+(-2)^{2}+3^{2}+(-5)^{2}+(-1)^{2})/5 = 12.8The standard deviation equals to square root of the variance:

σ = √ (12.8) = 3.58

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