The variance of the discrete data 3, 4, 5, 6, | vedclass

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(C) Step $1$: Calculate the mean $(\bar{x})$.$\bar{x} = \frac{3+4+5+6+7+8+10+13}{8} = \frac{56}{8} = 7$.Step $2$: Calculate the squared deviations fro

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$9.5$

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(C) Step $1$: Calculate the mean $(\bar{x})$.$\bar{x} = \frac{3+4+5+6+7+8+10+13}{8} = \frac{56}{8} = 7$.Step $2$: Calculate the squared deviations from the mean $(x_i - \bar{x})^2$.$(3-7)^2 = 16, (4-7)^2 = 9, (5-7)^2 = 4, (6-7)^2 = 1, (7-7)^2 = 0, (8-7)^2 = 1, (10-7)^2 = 9, (13-7)^2 = 36$.Step $3$: Calculate the variance $(\sigma^2)$.$\sigma^2 = \frac{\sum (x_i - \bar{x})^2}{n} = \frac{16+9+4+1+0+1+9+36}{8} = \frac{76}{8} = 9.5$.

The variance of the discrete data $3, 4, 5, 6, 7, 8, 10, 13$ is

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