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Skewness
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Descriptive Statistics
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Skewness
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BUILT-IN MATHEMATICA SYMBOL
Descriptive Statistics
Discrete Distributions
Continuous Distributions
Tutorials »
|
Kurtosis
QuartileSkewness
CentralMoment
Expectation
See Also »
|
Descriptive Statistics
Statistical Moments and Generating Functions
New in 6.0: Data Handling & Data Sources
New in 6.0: Mathematics & Algorithms
New in 6.0: Numerical Data Handling
New in 6.0: Statistics
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Skewness
Skewness
[
list
]
gives the coefficient of skewness for the elements in
list
.
Skewness
[
dist
]
gives the coefficient of skewness for the symbolic distribution
dist
.
MORE INFORMATION
Skewness
measures the amount of asymmetry in
list
.
A positive skewness indicates a distribution with a long right tail. A negative skewness indicates a distribution with a long left tail.
Skewness
handles both numerical and symbolic data.
Skewness
gives
.
Skewness
works with
SparseArray
objects.
Skewness
[
list
]
is equivalent to
CentralMoment
[
list
, 3]/
CentralMoment
[
list
, 2]
3/2
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Skewness
for a list of values:
Skewness
for a symbolic distribution:
Skewness
for a list of values:
In[1]:=
Out[1]=
Skewness
for a symbolic distribution:
In[1]:=
Out[1]=
Scope
(5)
Compute results at machine precision:
Obtain results at any precision:
Skewness
of a matrix will compute column-wise:
Compute results for a large vector or matrix:
Obtain results for continuous and discrete distributions:
Generalizations & Extensions
(1)
Compute results for a
SparseArray
:
Properties & Relations
(5)
Skewness
for data can be computed from
CentralMoment
:
Skewness
for a distribution can be computed from
CentralMoment
:
Symmetric distributions have 0 skewness:
Distributions with longer tails to the right have positive skewness:
Distributions with longer tails to the left have negative skewness:
SEE ALSO
Kurtosis
QuartileSkewness
CentralMoment
Expectation
TUTORIALS
Descriptive Statistics
Discrete Distributions
Continuous Distributions
MORE ABOUT
Descriptive Statistics
Statistical Moments and Generating Functions
New in 6.0: Data Handling & Data Sources
New in 6.0: Mathematics & Algorithms
New in 6.0: Numerical Data Handling
New in 6.0: Statistics
New in 6