Difference between revisions of "Median Command"

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(modified first example to show the position-related median value instead of a calculated value)
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: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, 4}]</nowiki></code> yields ''2.5''.
+
:*<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[ <List of Numbers>, <List of Frequencies> ]:Calculates the weighted median of the list elements.  
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:{{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 the [[Numeric Tool|numeric value]] [[File:Tool Numeric.gif]] ''4.5'' and its [[Evaluate Tool|evaluation]] is [[File:Tool Evaluate.gif]] $\frac{9}{2}$</div>}}
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:*<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.  
 
;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>}}<hr>
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:{{example|1=<div><code><nowiki>Median[{1, 2, 3, 4}, {4, 1, 4,9}]</nowiki></code> yields ''3.5''.</div>}}
:{{Notes|1=<br><br>If the length of the given list is even, the arithmetic mean of the two center elements is returned.<br><br>See also [[Mean Command|Mean]] command}}
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:{{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.

Revision as of 12:40, 5 February 2013


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.
Note:
If the length of the given list is even, the arithmetic mean of the two center elements is returned.

CAS Syntax

Median[ <List of Numbers> ]
Determines the median of the list elements.
Examples:
Median[ <List of Numbers>, <List of Frequencies> ]
Calculates the weighted median of the list elements.
Example:
Median[{1, 2, 3, 4}, {4, 1, 4,9}] yields 3.5.
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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