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Chapter 4

Measures of Variation

Qu’est-ce que la variation ?
Qu’est-ce que la variation ?
Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of ...
Gamme
Gamme
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the ...
Écart type
Écart type
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The ...
Erreur type de la moyenne
Erreur type de la moyenne
The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is ...
Calcul de l’écart-type
Calcul de l’écart-type
The standard deviation is the most common measure of variation. It is a value that tells us how far a data value is from the mean value in a dataset. ...
Variance
Variance
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative ...
Coefficient de variation
Coefficient de variation
The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can ...
Règle empirique de l’intervalle pour interpréter l’écart-type
Règle empirique de l’intervalle pour interpréter l’écart-type
The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on ...
Méthode empirique d’interprétation de l’écart-type
Méthode empirique d’interprétation de l’écart-type
The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The ...
Théorème de Tchebychev pour interpréter l’écart-type
Théorème de Tchebychev pour interpréter l’écart-type
Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is ...
Écart absolu moyen
Écart absolu moyen
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data ...
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