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Find the variance of \(2, 6, 8, 6, 2,\) and \(6.\)


Question

Find the variance of \(2, 6, 8, 6, 2,\) and \(6.\)

Options

A) \(6\)

B) \(5\)

C) \(\sqrt{6}\)

D) \(\sqrt{5}\)

The correct answer is B.

Explanation:

The mean \(\bar{x} = \frac{\sum x}{n}\) \(= \frac{30}{6} = 5\)

Variance \(= \frac{\sum (x - \bar{x})^2}{n}\) \(= \frac{30}{6} = 5\)


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