File:Variance visualisation.svg

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Summary

Description
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).
Source Own work
Author Cmglee

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current20:59, 8 April 2015Thumbnail for version as of 20:59, 8 April 2015512 × 819 (5 KB)wikimediacommons>Cmglee{{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...

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