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# Find the standard deviation for each data set. Use the standard deviations to compare each pair of data sets. the number of buttons on selected outfits:$\begin{matrix} \text{11} & \text{5} & \text{12} & \text{8} & \text{3} & \text{12} & \text{10} & \text{10} & \text{0} & \text{5} & \text{0} & \text{2} & \text{7} & \text{10}\\ \text{the number of pockets in the same outfits: }\\ \text{5} & \text{5} & \text{5} & \text{2} & \text{2} & \text{5} & \text{3} & \text{2} & \text{0} & \text{2} & \text{0} & \text{0} & \text{5} & \text{5}\\ \end{matrix}$

Solution

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Two sets of data are given. Determine the standard deviation of each set and compare.

The formula of determining the standard deviation is:

$\sigma = \sqrt{\dfrac{(x - \overline{x})^{2}}{n}}$

where: $n$ = number of buttons or pockets on the same outfit

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