File:Variance visualisation.svg
Summary
Geometric visualisation of the variance of the example distribution (2, 4, 4, 4, 5, 5, 7, 9) on <a href="https://en.wikipedia.org/wiki/Standard_deviation" class="extiw" title="w:Standard deviation">w:Standard deviation</a>.
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).
Licensing
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:53, 6 January 2017 | | 512 × 819 (5 KB) | 127.0.0.1 (talk) | Geometric visualisation of the variance of the example distribution (2, 4, 4, 4, 5, 5, 7, 9) on <a href="https://en.wikipedia.org/wiki/Standard_deviation" class="extiw" title="w:Standard deviation">w:Standard deviation</a>. <p>1. A frequency distribution is constructed. </p> <p>2. The centroid of the distribution gives its mean. </p> <p>3. A square with sides equal to the difference of each value from the mean is formed for each value. </p> 4. Arranging the squares into a rectangle with one side equal to the number of values (<i>n</i>) results in the other side being equal to the variance of the distribution (<i>σ</i>²). |
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