ASYMMETRY MEASURES

ASYMMETRY MEASURES

1. Asymmetry measures are indicators that allow establishing the degree of symmetry (or asymmetry) that a probability distribution of a random variable presents without having to make its graphic representation.

2. As axis of symmetry we consider a line parallel to the ordinate axis that passes through the mean of the distribution.

   • If a distribution is symmetric, there are the same number of values to the right as to the left of the mean.
   • There is negative (or left) skewness if the "tail" to the left of the mean is longer than the one to the right

3. Fisher's skewness coefficient

4. Pearson skewness coefficient

5. Bowley–Yule asymmetry coefficient

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