Question

Calculate SS, variance, and standard deviation for the following sample of scores :

15, 16, 9, 1, 9

Answer 1

Answer:

Given,

X : 15 , 16 , 9 , 1 , 9

sample n = 5

X = 15 + 16 + 9 + 1 + 9 = 50

X^2 = 15^2 + 16^2 + 9^2 + 1^2 + 9^2 = 644

Sum of squared standard deviation = SS = X^2 - (X)^2/n

= 644 - (50)^2/5

= 644 - 500

SS = 144

Variance s^2 = SS/(n-1)

= 144/(5-1)

= 144/4

Variance = 36

Standard deviation = sqrt(variance)

= sqrt(36)

Standard deviation = 6