Difference between revisions of "Median Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
;Median[ <List of Raw Data> ]
+
;Median[ &lt;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''.
 
:*<code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''.
 
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}}
 
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields ''4.5''.</div>}}
;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements.  
+
;Median[ &lt;List of Numbers>, &lt;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''.
 
:*<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>}}
 
:*<code><nowiki>Median[{1, 2, 3}, {4, 1, 6}]</nowiki></code> yields ''3''.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
;Median[ <List of Numbers> ]
+
;Median[ &lt;List of Numbers> ]
 
: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''.
 
:*<code><nowiki>Median[{1, 2, 3}]</nowiki></code> yields ''2''.
 
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields 4.5 </div>}}
 
:*<code><nowiki>Median[{1, 1, 8, 8}]</nowiki></code> yields 4.5 </div>}}
;Median[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements.  
+
;Median[ &lt;List of Numbers>, &lt;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''.
 
:*<code><nowiki>Median[{1, 2, 3}, {4, 1, 3}]</nowiki></code> yields ''1.5''.

Revision as of 18:01, 22 August 2015


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, 1, 6}] yields 3.

CAS Syntax

Median[ <List of Numbers> ]
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, 1, 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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