A sample of n = 5 scores has ΣX = 20 and ΣX² = 180.For this sample,what is the value of the sample standard deviation,s? A)5 B)8 C)12 D)20

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Quizplus · Accepted Answer

The sample standard deviation, $s$, is calculated using the formula $s = \sqrt{\frac{\Sigma X^2 - (\Sigma X)^2 / n}{n - 1}}$. Given $\Sigma X = 20$, $\Sigma X^2 = 180$, and $n = 5$, we substitute these values into the formula: $s = \sqrt{\frac{180 - (20)^2 / 5}{5 - 1}} = \sqrt{\frac{180 - 80}{4}} = \sqrt{\frac{100}{4}} = \sqrt{25} = 5$.

A Sample of N = 5 Scores Has ΣX =