Difference between revisions of "Variance 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}}
;Variance[ &lt;List of Raw Data> ]
+
;Variance( &lt;List of Raw Data> )
 
:Calculates the variance of list elements.
 
:Calculates the variance of list elements.
 
:{{example|1=<div><code><nowiki>Variance[{1, 2, 3}]</nowiki></code> yields ''0.67''.</div>}}
 
:{{example|1=<div><code><nowiki>Variance[{1, 2, 3}]</nowiki></code> yields ''0.67''.</div>}}
;Variance[ &lt;List of Numbers>, &lt;List of Frequencies> ]
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;Variance( &lt;List of Numbers>, &lt;List of Frequencies> )
 
:Calculates the variance of list elements, considering the frequencies.
 
:Calculates the variance of list elements, considering the frequencies.
 
:{{example|1=<div><code><nowiki>Variance[{1, 2, 3} , {1, 2, 1}]</nowiki></code> yields ''0.5''.</div>}}
 
:{{example|1=<div><code><nowiki>Variance[{1, 2, 3} , {1, 2, 1}]</nowiki></code> yields ''0.5''.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
;Variance[ &lt;List of Numbers> ]
+
;Variance( &lt;List of Numbers> )
 
:Calculates the variance of list elements. If the list contains undefined variables, it yields a formula for the variance.
 
:Calculates the variance of list elements. If the list contains undefined variables, it yields a formula for the variance.
 
:{{examples|1=<br>
 
:{{examples|1=<br>
 
:*<code><nowiki>Variance[{1, 2, a}]</nowiki></code> yields ''<math>\frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}</math>''.
 
:*<code><nowiki>Variance[{1, 2, a}]</nowiki></code> yields ''<math>\frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}</math>''.
 
}}
 
}}

Revision as of 17:17, 7 October 2017


Variance( <List of Raw Data> )
Calculates the variance of list elements.
Example:
Variance[{1, 2, 3}] yields 0.67.
Variance( <List of Numbers>, <List of Frequencies> )
Calculates the variance of list elements, considering the frequencies.
Example:
Variance[{1, 2, 3} , {1, 2, 1}] yields 0.5.

CAS Syntax

Variance( <List of Numbers> )
Calculates the variance of list elements. If the list contains undefined variables, it yields a formula for the variance.
Examples:
  • Variance[{1, 2, a}] yields \frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}.
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