English: Geometric visualisation of the variance of the example distribution (2, 4, 4, 4, 5, 5, 7, 9) on w:Standard deviation.
1. A frequency distribution is constructed.
2. The centroid of the distribution gives its mean.
3. A square with sides equal to the difference of each value from the mean is formed for each value.
4. Arranging the squares into a rectangle with one side equal to the number of values (n) results in the other side being equal to the variance of the distribution (σ²).
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Short title
Variance visualisation
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Geometric visualisation of the variance of the example distribution (2, 4, 4, 4, 5, 5, 7, 9) on http://en.wikipedia.org/wiki/Standard_deviation by CMG Lee. 1. A frequency distribution is constructed. 2. The centroid of the distribution gives its mean. 3. A square with sides equal to the difference of each value from the mean is formed for each value. 4. Arranging the squares into a rectangle with one side equal to the number of values (n) results in the other side being equal to the variance of the distribution (σ²).