Programmer Guide/Command Reference/EVAL/median: Difference between revisions
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Compute median or quantiles of a vector ''x''. | Compute median or quantiles of a vector ''x''. | ||
The quantile '''q<sub>p</sub>''' can be defined as the | The quantile '''q<sub>p</sub>''' can be defined as the probability '''p''' of: <code>an element of x is lower than '''q<sub>p</sub>'''</code>. The value '''p''' must be in the range 0 to 1. The special quantile q<sub>0.5</sub> is also called '''median'''. | ||
---- | |||
;Usage 1: '''<code>median(''x''<sub>vector</sub> {, ''p''<sub>scalar</sub> })''' | |||
;''x'': data vector | |||
;''p'': the propability; 0 < ''p'' < 1 (default=0.5) | |||
;Result 1: Returns the ''p''-quantile (scalar) of ''x''. | |||
---- | |||
;Usage 2: '''<code>median(''x''<sub>vector</sub> , ''p''<sub>vector</sub> })''' | |||
;''x'': data vector | |||
;''p'': vector with propability values | |||
;Result 1: Returns a vector containing the quantiles for all probabilities p[i]. | |||
;See also: [[Programmer_Guide/Command_Reference/EVAL/avr|avr]], [[Programmer_Guide/Command_Reference/EVAL/sort|sort]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]] | |||
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | |||
Revision as of 16:41, 8 April 2011
Compute median or quantiles of a vector x.
The quantile qp can be defined as the probability p of: an element of x is lower than qp. The value p must be in the range 0 to 1. The special quantile q0.5 is also called median.
- Usage 1
median(xvector {, pscalar })- x
- data vector
- p
- the propability; 0 < p < 1 (default=0.5)
- Result 1
- Returns the p-quantile (scalar) of x.
- Usage 2
median(xvector , pvector })
- x
- data vector
- p
- vector with propability values
- Result 1
- Returns a vector containing the quantiles for all probabilities p[i].
