![]() ![]() To find the population standard deviation, the process is very similar to the one we used for finding samples standard deviation. Take the square root of the quotient from Step 5. Divide the sum from Step 4 by n – 1 (the sample size minus one). Calculate the difference between the sample mean and each data point. Calculate the mean of the sample (add up all the values and divide by the number of values). ![]() To find the sample standard deviation, take the following steps: You can also see how this works in the steps below. ![]() This is the formula for sample standard deviation. The formula for standard deviation below suggests how the “squared” and “square root” (radical) cancel each other out. However, we later take the square root of the sum of squared differences, which returns us to the original units. In the process of finding standard deviation, the units for the data points are squared (when we take squared differences).
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