How to Calculate Variance Statistics

In statistics, variance calculates the difference from the mean of variables in a given set. Variance is often denoted as sigma to the power of two. The formula for variance is the sum of the difference of each variable from the mean squared, divided by the number of variables. The square root of the variance is the standard deviation. As an example for determining variance, there is a set of data: 1, 2, 3 and 4.

Instructions

    • 1

      Calculate the mean of the set. In the example, you add 1 + 2 + 3 + 4 to obtain the result of 10, and then you divide 10 by 4, which yields a mean of 2.5.

    • 2

      Subtract each variable from the mean and square each answer. In the example, (1-2.5)^2, (2-2.5)^2, (3-2.5)^2, (4-2.5)^2, which equals 2.25, 0.25, 0.25, and 2.25.

    • 3

      Add the numbers calculated in Step 2. In the example, 2.25 + 0.25 + 0.25 + 2.25 = 5.

    • 4

      Divide the number calculated in Step 3 by the number of variables. In the example, 5 is divided by 4, which yields a variance of 1.25.

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