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Abkarino · Answer 1 · 2023-11-22T21:15:37+0000

ANSWER:

The standard deviation is 7

Explanation:

The standard deviation formula is as follows

$\sigma=\sqrt[]{\frac{\sum^N_i(x_i-\mu)^2_{}}{N}}$

The first thing is to calculate the average of the sample like this:

$\begin{gathered} \mu=(12+6+15+9+28+12)/(6) \\ \mu=(82)/(6)=13.67 \end{gathered}$

Replacing and calculate the standard deviation:

$\begin{gathered} \sigma=\sqrt[]{\frac{(12_{}-13.67)^2_{}+(6_{}-13.67)^2_{}+(15_{}-13.67)^2_{}+(9_{}-13.67)^2_{}+(28-13.67)^2_{}+(12_{}-13.67)^2_{}}{6}} \\ \sigma=\sqrt[]{(293.33)/(6)} \\ \sigma=6.99\cong7 \end{gathered}$

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