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).
{{Information |Description ={{en|1=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...
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).