The variance of the data 2, 4, 6, 8, 10 is:

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none of these

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Solution

The correct option is C 8
$M e a n (¯ x) = \frac{\sum x_{i}}{n} = (\frac{(2 + 4 + 6 + 8 + 10)}{5} = 6$

$V a r i a n c e (σ^{2}) = \frac{\sum (x - ¯ x)^{2}}{n} = \frac{(2 - 6)^{2} + (4 - 6)^{2} + (6 - 6)^{2} + (8 - 6)^{2} + (10 - 6)^{2}}{5} = \frac{(16 + 4 + 0 + 4 + 16)}{5} = \frac{40}{5} = 8$

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