Correlation | Linear Regression | Variance and Standard Deviation

Calculator Variance and Standard Deviation

Calculates the empiric variance and standard deviation from a data set of associated values. The variance is a measure for the dispersion, how far spread or how close together the values are. The higher variance and standard deviation are, the stronger is the spread. As the variance works with squares, more often the standard deviation is used, which is the square root of the variance.
Example calculates with the population (in millions) of some European countries.

Values

Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Result

Number of values:
Mean value:
Variance:
Standard deviation:

The formulas are:

x_i: values, n: number of values, Σ: sum i=1 to n
μ: mean, σ²: variance, σ: standard deviation

μ = Σ(x_i) / n
σ² = Σ(x_i-μ)² / n
σ = √σ²

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