Calculate the variance of a sample for which $n = 5 , \sum x ^ { 2 } = 1320 , \quad \sum x = 80 .$

A) 8.00
B) 326.00
C) $3.16$
D) 10.00

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

Calculate the variance of a sample for which $n = 5 , \sum x ^ { 2 } = 1320 , \quad \sum x = 80 .$

A) 8.00
B) 326.00
C) $3.16$
D) 10.00

Quizplus · Accepted Answer

The sample variance is calculated using the formula $ s^2 = \frac{\sum x^2 - (\sum x)^2/n}{n-1} $. Substituting the given values: $ s^2 = \frac{1320 - (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=80.n = 5 , \sum x ^ { 2 } = 1320 , \quad \sum x = 80 .n=5,∑x2=1320,∑x=80.

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