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

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Question

(C) Step $1$: Calculate the mean $(\bar{x})$ of the data.$\bar{x} = \frac{2 + 4 + 6 + 8 + 10}{5} = \frac{30}{5} = 6$.Step $2$: Calculate the variance

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) Step $1$: Calculate the mean $(\bar{x})$ of the data.$\bar{x} = \frac{2 + 4 + 6 + 8 + 10}{5} = \frac{30}{5} = 6$.Step $2$: Calculate the variance using the formula $	ext{Variance} = \frac{1}{n} \sum (x_i - \bar{x})^2$.$	ext{Variance} = \frac{1}{5} \{(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2\}$.Step $3$: Simplify the expression.$	ext{Variance} = \frac{1}{5} \{(-4)^2 + (-2)^2 + (0)^2 + (2)^2 + (4)^2\}$.$	ext{Variance} = \frac{1}{5} \{16 + 4 + 0 + 4 + 16\}$.$	ext{Variance} = \frac{1}{5} \{40\} = 8$.Thus,the correct option is $C$.

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

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