Step 2
(b) Use the defining formula to compute the sample standard deviation s.
Recall the defining formula used to compute the sample standard deviation $s = \sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}$, where x is a member of the
data set, $\bar{x}$ is the mean, and n is number of data values. Before using the formula, we must determine $\bar{x}$ and n.
There are five values in the data set 1, 2, 4, 6, 8, so $n = 5$
Calculate the mean $\bar{x} = \frac{\sum x}{n}$ by taking the average of the data values, which is dividing the sum of the data values by the
number of data values.
$\bar{x} = \frac{\sum x}{n}$
$\frac{1+2+4+6+8}{5}$
3.4
2.0736
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