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Quantile Function

Usage

$Quantile[data, p] gives the estimate of the p ^th quantile Overscript[q, ^]p of data. Quantile[data, {p1, p2, ...}] gives a list of quantiles p1, p2, .... Quantile[data, p, {{a, b}, {c, d}}] uses the quantile definition specified by parameters a, b, c, d. Quantile[dist, p] gives a quantile of the distribution dist.$

Basic examples

Find the halfway value of a list:
In[1]:=Quantile[{1, 2, 3, 4, 5, 6, 7}, 1/2]
Out[1]=4
Find the 20% and 80% quantiles of a list:
In[1]:=Quantile[{1, 2, 3, 4, 5, 6, 7}, {0.2, 0.8}]
Out[1]={2, 6}
Find the top percentile of a list:
In[1]:=Quantile[Range[100], 0.99]
Out[1]=99

Attributes

Protected | ReadProtected

Relationships with other entities

Relationships with other entities

Typical ranks of usage in programs

739th most common (1 in 51100 symbols)

453rd most common (1 in 25000 symbols)

182nd most common (1 in 2400 symbols)

History

introduced in Version 5 (June 2003)
last modified in Version 14.1 (July 2024)

Timeline

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