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Mathematica > Data Manipulation > Statistical Data Analysis > Descriptive Statistics > Quartiles >

BUILT-IN MATHEMATICA SYMBOL

Quartiles

Quartiles[list]
gives a list of the 1/4, 1/2, and 3/4 quantiles of the elements in list.

Quartiles[dist]
gives a list of the 1/4, 1/2, and 3/4 quantiles of the symbolic distribution dist.

For even Length[list], the first quartile is equivalent to the median of the smallest elements in list.

For odd Length[list], the first quartile is equivalent to the average of the median of the smallest elements and the median of the smallest elements in list.

The third quartile is defined like the first, but with the largest rather than smallest elements.

Quartiles for a list of exact numbers:

Quartiles of a symbolic distribution:

Quartiles for a list of exact numbers:

Out[1]=

Quartiles of a symbolic distribution:

Out[1]=

Quartiles works with any real numeric quantities:

Quartiles by column for a matrix:

Obtain results at any precision:

Compute results for a large vector or matrix:

Compute results for a SparseArray:

Quartiles are given by linearly interpolated Quantile values:

The second quartile is the Median:

InterquartileRange is the difference between the first and third quartiles:

QuartileDeviation is half the difference between the first and third quartiles:

QuartileSkewness is a skewness measure obtained from the quartiles:

Quartiles requires numeric values: