Calculate the standard deviation of the following data set. Round your answer to the nearest hundreth.
\[
\{9,8,6,10,2\}
\]

Answer

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Answer

\(\boxed{2.83}\)

Steps

Step 1 ：Calculate the mean of the data set \(\{9, 8, 6, 10, 2\}\)

Step 2 ：Find the squared differences between each data point and the mean

Step 3 ：Sum the squared differences \(\{4.0, 1.0, 1.0, 9.0, 25.0\}\)

Step 4 ：Divide the sum of squared differences by the number of data points to get the variance

Step 5 ：Take the square root of the variance to get the standard deviation

Step 6 ：Round the standard deviation to the nearest hundredth

Step 7 ：\(\boxed{2.83}\)