In the data set below, what is the standard deviation? If the answer is a decimal, round it to the nearest tenth. standard deviation \( (\sigma): \square \)
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To compute the standard deviation, you first need to find the mean (average) of your data set. Then, subtract the mean from each data point, square the result, and find the average of those squares. Finally, take the square root of that average. If you round the final answer to the nearest tenth, you'll find your standard deviation nicely packaged as a single number! When working with data, remember that it’s essential not to mix up population and sample standard deviation formulas. The population standard deviation divides by \(n\) (the total number of data points), whereas the sample standard deviation divides by \(n-1\) to account for the extra variability introduced by using a sample instead of the entire population. Happy calculating!