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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) √6

D) √5

The correct answer is B.

Explanation:

\(The \hspace{1mm}mean \hspace{1mm} \bar{x} = \frac{\sum{x}}{n}=\frac{30}{6}=5\\Variance\hspace{1mm}=\frac{\sum({x-\bar{x}})^{2}}{n}=\frac{30}{6}=5\)

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Dicussion (1)

  • \(The \hspace{1mm}mean \hspace{1mm} \bar{x} = \frac{\sum{x}}{n}=\frac{30}{6}=5\\Variance\hspace{1mm}=\frac{\sum({x-\bar{x}})^{2}}{n}=\frac{30}{6}=5\)

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