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QuartileSkewness

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QuartileSkewness[list]
gives the coefficient of quartile skewness for the elements in list.
QuartileSkewness[dist]
gives the coefficient of quartile skewness for the symbolic distribution dist.
  • A positive value of quartile skewness indicates the median is closer to the lower quartile q_1 than the upper quartile q_3.
  • A negative value of quartile skewness indicates the median is closer to the upper quartile.
EXAMPLESCLOSE ALL
Basic Examples   (2)
Quartile skewness for a list of exact numbers:
Quartile skewness of a symbolic distribution:
Quartile skewness for a list of exact numbers:
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Quartile skewness of a symbolic distribution:
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Scope   (4)
QuartileSkewness works with any real numeric quantities:
Quartile skewness values for columns of a matrix:
Obtain results at any precision:
Compute results for a large vector or matrix:
Applications   (1)
Obtain a robust estimate of asymmetry when extreme values are present:
Measures based on the Mean are heavily influenced by extreme values:
Properties & Relations   (3)
QuartileSkewness is a function of linearly interpolated Quantile values:
QuartileSkewness is a function of quartiles:
QuartileSkewness is a function of the median, first quartile and a dispersion measure:
Possible Issues   (1)
QuartileSkewness requires numeric values:
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