In probability theory and statistics, the geometric standard deviation describes how spread out are a set of numbers whose preferred average is the geometric mean. If the geometric mean of a set of numbers {A1, A2, ... , An} is denoted as μg, then the geometric standard deviation is <math> \sigma_g = \exp \left(\sqrt{ \sum_{i=1}^n ^2 \over n } \right). \qquad \qquad (1) </math>

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  • In probability theory and statistics, the geometric standard deviation describes how spread out are a set of numbers whose preferred average is the geometric mean. If the geometric mean of a set of numbers {A1, A2, ... , An} is denoted as μg, then the geometric standard deviation is <math> \sigma_g = \exp \left(\sqrt{ \sum_{i=1}^n ^2 \over n } \right). \qquad \qquad (1) </math>
  • Die geometrische Standardabweichung oder kurz GSD entspricht der exponierten Standardabweichung der logarithmierten Ursprungswerte (x<math>_i</math>=ln, falls y<math>_1 y<math>_2 ... y<math>_n</math> die Originalwerte sind) \sigma_x := \sqrt {\frac{1}{N} \sum_{i=1}^N{(x_i-\bar{x})^2}} daher gilt \sigma_{GSD} := e^{\sqrt {\frac{1}{N} \sum_{i=1}^N{(x_i-\bar{x})^2}}} Gebräuchlich ist diese statistische Kennzahl vor allem in der Chemie.
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  • In probability theory and statistics, the geometric standard deviation describes how spread out are a set of numbers whose preferred average is the geometric mean. If the geometric mean of a set of numbers {A1, A2, ... , An} is denoted as μg, then the geometric standard deviation is <math> \sigma_g = \exp \left(\sqrt{ \sum_{i=1}^n ^2 \over n } \right). \qquad \qquad (1) </math>
  • Die geometrische Standardabweichung oder kurz GSD entspricht der exponierten Standardabweichung der logarithmierten Ursprungswerte (x<math>_i</math>=ln, falls y<math>_1 y<math>_2 ... y<math>_n</math> die Originalwerte sind) \sigma_x := \sqrt {\frac{1}{N} \sum_{i=1}^N{(x_i-\bar{x})^2}} daher gilt \sigma_{GSD} := e^{\sqrt {\frac{1}{N} \sum_{i=1}^N{(x_i-\bar{x})^2}}} Gebräuchlich ist diese statistische Kennzahl vor allem in der Chemie.
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  • Geometric standard deviation
  • Geometrische Standardabweichung
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