Find the standard deviation for the group of data items.
$8, 8, 8, 11, 14, 14, 14 마$

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$2.78$ is the standard deviation of the data set

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Step 1 ：Calculate the mean of the data set: $\frac{8 + 8 + 8 + 11 + 14 + 14 + 14}{7} = 11$

Step 2 ：Subtract the mean from each number and square the result to get the squared deviation: $(8 - 11)^{2} = 9$ , $(8 - 11)^{2} = 9$ , $(8 - 11)^{2} = 9$ , $(11 - 11)^{2} = 0$ , $(14 - 11)^{2} = 9$ , $(14 - 11)^{2} = 9$ , $(14 - 11)^{2} = 9$

Step 3 ：Calculate the mean of these squared deviations: $\frac{9 + 9 + 9 + 0 + 9 + 9 + 9}{7} = 7.71$

Step 4 ：Take the square root of the mean squared deviation to get the standard deviation: $\sqrt{7.71} = 2.78$

Step 5 ： $2.78$ is the standard deviation of the data set

Find the standard deviation for the group of data items.마8,8,8,11,14,14,14 마

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Find the standard deviation for the group of data items.
$8, 8, 8, 11, 14, 14, 14 마$