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SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Data Manipulation
>
Statistics
>
Descriptive Statistics
>
Mathematica
>
Mathematics and Algorithms
>
Statistics
>
Descriptive Statistics
>
Built-in
Mathematica
Symbol
Descriptive Statistics
Tutorials »
|
InterquartileRange
Quartiles
Quantile
QuartileSkewness
See Also »
|
Descriptive Statistics
Summary of New Features in 7.0
New in 6.0: Statistics
New in 7.0: Data Manipulation
More About »
QuartileDeviation
QuartileDeviation
[
list
]
gives the quartile deviation or semi-interquartile range of the elements in
list
.
QuartileDeviation
[
dist
]
gives the quartile deviation or semi-interquartile range of the symbolic distribution
dist
.
MORE INFORMATION
QuartileDeviation
[
list
]
is equivalent to
InterquartileRange
[
list
]/2
.
QuartileDeviation
works with
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Quartile deviation for a list of exact numbers:
Quartile deviation of a symbolic distribution:
Quartile deviation for a list of exact numbers:
In[1]:=
Out[1]=
Quartile deviation of a symbolic distribution:
In[1]:=
Out[1]=
Scope
(4)
QuartileDeviation
works with any real numeric quantities:
Quartile deviations for columns of a matrix:
Obtain results at any precision:
Compute results for a large vector or matrix:
Generalizations & Extensions
(1)
Compute results for a
SparseArray
:
Applications
(1)
Obtain a robust estimate of dispersion when extreme values are present:
Measures based on the
Mean
are heavily influenced by extreme values:
Properties & Relations
(3)
QuartileDeviation
is half the difference of linearly interpolated
Quantile
values:
InterquartileRange
is twice
QuartileDeviation
:
QuartileDeviation
is half the difference between the first and third quartiles:
Possible Issues
(1)
QuartileDeviation
requires numeric values:
SEE ALSO
InterquartileRange
Quartiles
Quantile
QuartileSkewness
TUTORIALS
Descriptive Statistics
MORE ABOUT
Descriptive Statistics
Summary of New Features in 7.0
New in 6.0: Statistics
New in 7.0: Data Manipulation
New in 6 | Last modified in 7