Difference between revisions of "Median Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
{{command|cas=true|statistics}}
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;Median( &lt;List of Raw Data> )
;Median[ <List of Raw Data> ]
 
 
:Determines the median of the list elements.
 
:Determines the median of the list elements.
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:*<code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''.
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:*<code><nowiki>Median({1, 2, 3})</nowiki></code> yields ''2''.
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}}
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:*<code><nowiki>Median({1, 1, 8, 8})</nowiki></code> yields ''4.5''.</div>}}
 
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;Median( &lt;List of Numbers>, &lt;List of Frequencies> ):Calculates the weighted median of the list elements.  
;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements.  
 
 
:{{example|1=<div>
 
:{{example|1=<div>
:*<code><nowiki>Median[{1, 2, 3}, {4, 1, 3}]</nowiki></code> yields ''1.5''.
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:*<code><nowiki>Median({1, 2, 3}, {4, 1, 3})</nowiki></code> yields ''1.5''.
:*<code><nowiki>Median[{1, 2, 3}, {4, 1, 6}]</nowiki></code> yields ''3''.</div>}}
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:* <code><nowiki>Median({1, 2, 3, 4}, {6, 1, 3, 6})</nowiki></code> yields ''3''.</div>}}
 
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{{Note|1=<div>
{{note| 1=<div>If the length of the given list is even, the arithmetic mean of the two center elements is returned.</div>}}
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*If the length of the given list is even, the arithmetic mean of the two center elements is returned.
 
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*See also [[Mean Command|Mean]] command.</div>}}
 
 
==CAS Syntax==
 
;Median[ <List of Numbers> ]
 
:Determines the median of the list elements.
 
:{{examples|1=<div>
 
:*<code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''.
 
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields the [[Numeric Tool|numeric value]] [[File:Tool Numeric.gif]] ''4.5'' or its [[Evaluate Tool|evaluation]] [[File:Tool Evaluate.gif]] $\frac{9}{2}$</div>}}
 
 
 
;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements.
 
:{{example|1=<div><code><nowiki>Median[{1, 2, 3, 4}, {4, 1, 4, 9}]</nowiki></code> yields ''3.5''.</div>}}
 
 
 
{{Note|1=If the length of the given list is even, the arithmetic mean of the two center elements is returned.}}
 
:<br>See also [[Mean Command|Mean]] command.
 

Latest revision as of 09:54, 12 October 2017


Median( <List of Raw Data> )
Determines the median of the list elements.
Examples:
  • Median({1, 2, 3}) yields 2.
  • Median({1, 1, 8, 8}) yields 4.5.
Median( <List of Numbers>, <List of Frequencies> )
Calculates the weighted median of the list elements.
Example:
  • Median({1, 2, 3}, {4, 1, 3}) yields 1.5.
  • Median({1, 2, 3, 4}, {6, 1, 3, 6}) yields 3.
Note:
  • If the length of the given list is even, the arithmetic mean of the two center elements is returned.
  • See also Mean command.
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