Moments In Statistics (2012)

Moments in Statistics The measure of central tendency (location) and the measure of dispersion (variation) both are useful to describe a data set but both of them fail to tell anything about the shape of the distribution. We need some other certain measure called the moments. Moments in Statistics are …

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Skewness Formula, Introduction, Interpretation (2012)

Skewness is the degree of asymmetry or departure from the symmetry of the distribution of a real-valued random variable. Positive SkewedIf the frequency curve of distribution has a longer tail to the right of the central maximum than to the left, the distribution is said to be skewed to the …

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What is the Measure of Kurtosis (2012)

In statistics, a measure of kurtosis is a measure of the “tailedness” of the probability distribution of a real-valued random variable. The standard measure of kurtosis is based on a scaled version of the fourth moment of the data or population. Therefore, the measure of kurtosis is related to the …

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Rules for Skewed Data

Lack of Symmetry Skewness is the lack of symmetry (lack of normality) in a probability distribution. The skewness is usually quantified by the index as given below $$s = \frac{\mu_3}{\mu_2^{3/2}}$$ where $\mu_2$ and $\mu_3$ are the second and third moments about the mean. This index formula described above takes the …

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