The standard deviation of the numbers 22, 26, | vedclass

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(D) Given numbers: $22, 26, 28, 20, 24, 30$ Mean $\bar{x} = \frac{22+26+28+20+24+30}{6} = \frac{150}{6} = 25$ Now,calculate $(x_i - \bar{x})^2$: $(22-

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$3.42$

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(D) Given numbers: $22, 26, 28, 20, 24, 30$ Mean $\bar{x} = \frac{22+26+28+20+24+30}{6} = \frac{150}{6} = 25$ Now,calculate $(x_i - \bar{x})^2$: $(22-25)^2 = 9$ $(26-25)^2 = 1$ $(28-25)^2 = 9$ $(20-25)^2 = 25$ $(24-25)^2 = 1$ $(30-25)^2 = 25$ Sum of squares $\Sigma(x_i - \bar{x})^2 = 9 + 1 + 9 + 25 + 1 + 25 = 70$ Standard Deviation $SD = \sqrt{\frac{\Sigma(x_i - \bar{x})^2}{n}} = \sqrt{\frac{70}{6}} = \sqrt{11.666...} \approx 3.4156 \approx 3.42$

The standard deviation of the numbers $22, 26, 28, 20, 24, 30$ is

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