Answer to Question #1162 in Statistics and Probability for Brittany

Question

Calculate SS variance and standard deviation for the following sample of n = 5 scores&
10, 3, 8, 0, 4 &

Answer 1

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 ² = (5²+(-2)²+3²+(-5)²+(-1)²)/5 = 12.8
The standard deviation equals to square root of the variance:
σ = √ (12.8) = 3.58