This calculator uses the formulas below in its variance calculations. For a Complete Population divide by the size n Variance = σ 2 = ∑ i = 1 n ( x i − μ) 2 n For a Sample Population divide by the sample size minus 1, n - 1 Variance = s 2

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The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics

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It is calculated by taking the square root of the variance of the data set. The following equation can be used in this scenario: n σ = ∑ ( x i − μ) 2 6 Where, σ = Population standard deviation ∑ =

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