2016 Update

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Tina Müller 2016-12-05 22:15:40 +01:00
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Statistics is all about large groups of numbers.
[[Statistics|Statistics]] is all about large groups of numbers.
When talking about a set of sampled data, most frequently used is their [[wp:Mean|mean value]] and [[wp:Standard_deviation|standard deviation (stddev)]].
If you have set of data <math>x_i</math> where <math>i = 1, 2, \ldots, n\,\!</math>, the mean is <math>\bar{x}\equiv {1\over n}\sum_i x_i</math>, while the stddev is <math>\sigma\equiv\sqrt{{1\over n}\sum_i \left(x_i - \bar x \right)^2}</math>.
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:<math>
\frac{1}{N}\sum_{i=1}^N(x_i-\overline{x})^2 = \frac{1}{N} \left(\sum_{i=1}^N x_i^2\right) - \overline{x}^2.
</math>
{{task heading|See also}}
* [[Statistics/Normal_distribution|Statistics/Normal distribution]]
{{Related tasks/Statistical measures}}
<br><hr>