The variance for the first six prime numbers | vedclass

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(B) The first six prime numbers greater than $5$ are $7, 11, 13, 17, 19, 23$. The mean $\bar{x} = \frac{7+11+13+17+19+23}{6} = \frac{90}{6} = 15$. The

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$28$

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(B) The first six prime numbers greater than $5$ are $7, 11, 13, 17, 19, 23$. The mean $\bar{x} = \frac{7+11+13+17+19+23}{6} = \frac{90}{6} = 15$. The variance $\sigma^2$ is given by $\frac{1}{n} \sum (x_i - \bar{x})^2$. $\sigma^2 = \frac{(7-15)^2 + (11-15)^2 + (13-15)^2 + (17-15)^2 + (19-15)^2 + (23-15)^2}{6}$ $\sigma^2 = \frac{(-8)^2 + (-4)^2 + (-2)^2 + (2)^2 + (4)^2 + (8)^2}{6}$ $\sigma^2 = \frac{64 + 16 + 4 + 4 + 16 + 64}{6} = \frac{168}{6} = 28$.

The variance for the first six prime numbers greater than $5$ is

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