Calculate the variance of a sample for which $$n = 5 , \quad \sum x ^ { 2 } = 1320 , \quad \sum { x } = 80$$
A) 10.00
B) 8.00
C) 326.00
D) 3.16

Question

Calculate the variance of a sample for which $$n = 5 , \quad \sum x ^ { 2 } = 1320 , \quad \sum  { x } = 80$$
A) 10.00
B) 8.00
C) 326.00
D) 3.16

Quizplus · Accepted Answer

The sample variance is calculated using the formula: $ s^2 = \frac{\sum x^2 - \frac{(\sum x)^2}{n}}{n-1} $. Substituting the given values: $ s^2 = \frac{1320 - \frac{80^2}{5}}{4} = \frac{1320 - 1280}{4} = \frac{40}{4} = 10.00 $.

Calculate the Variance of a Sample for Which n=5,∑x2=1320,∑x=80n = 5 , \quad \sum x ^ { 2 } = 1320 , \quad \sum { x } = 80n=5,∑x2=1320,∑x=80

Calculate the Variance of a Sample for Which $n = 5 , \quad \sum x ^ { 2 } = 1320 , \quad \sum { x } = 80$