Find the sum of values from Step 2 and Divide To find the standard deviation of the population you must find the difference of each value by subtracting it from the mean and squaring the result of each value. To find this we find the sum of the values and divide by 10 Presume our data consists of the following ten values: The population standard deviation formula is:Īn example of a problem to find the standard deviation of a population is as follows: Rather than subtracting 1 from n (number of values in the denominator), you only divide by n. It is important to note that finding the population standard deviation has the same exact formula as the sample standard deviation, with one exception. You have just solved a standard deviation problem!.Now to tackle how to understand what it means. There are 8 values in the set, so you will divide by 7(N-1) Divide the sum by the number of values minus 1 Add the values you just squared to find their sumĤ + 169 + 49 + 4 + 81 + 144 + 64 + 25 = 540 This is completed by subtracting your average (or μ )from each of your values from the data set You have collected the following data from an experiment: N = The number of values in the dataset, if you have 10 numbers in the dataset, then n = 10 Μ = The average for the values in the dataset X i = Value for each number within the dataset (i just represents the value) ∑ = The sume of each calculation (x i - μ) 2 for each value i This calculator calculates both sample standard deviation and population standard deviation.

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