Statistische Kenngrößen

(Arithmetischer) Mittelwert

$$\text{mean}(s)=\overline{x}=n^{-1}\sum _{i=1}^n{x}_i$$Link to original

Standardabweichung

$$SD(X):=\sqrt{Var(X)}$$

Varianz

Empirisch

$$\text{SD}(X)=\sqrt{\frac{1}{(n-1)}\sum _i(x_i-\overline{x}{)}^2}$$Link to original

(Empirischer) Median

$med(x)=\frac{x_{[n/2]}+x_{[(n+2)/2]}}{2}$

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Median absoluter Abweichungen

$\text{MAD}(s)=n^{-1}\sum _i|x_i-\text{med}(x)|$

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