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The formula we use for standard deviation depends on whether the data is being considered a population of its own, or the data is a sample representing a larger population. The formula you provided for the standard error seems to be for calculating the standard error of the sample proportion in a binomial distribution, which is slightly different from calculating the. Uh oh, it looks like we ran into an error If this problem persists, tell us. The population standard deviation is a measure of how much variation there is among individual data points in a population It's a way of quantifying how spread out the data is from its mean. When calculating the sample standard deviation we divide by ? ? 1 For the sample mean we divide by ?. The standard deviation formula may look confusing, but it will make sense after we break it down ??? ??? ??????? ??? ????????? ??? ??????? ???? ??? ... Explore sampling distributions and proportions with examples and interactive exercises on khan academy. Standard deviation involves adding and subtracting values at various steps in the calculation process For example, the differences between each data point and the mean are calculated,.