Difference between revisions of "Variance Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|cas=true|statistics}}
 
{{command|cas=true|statistics}}
;Variance[ <List of Numbers> ]
+
;Variance[ <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[ <List of Numbers>, <List of Frequencies> ]
 
;Variance[ <List of Numbers>, <List of 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==

Revision as of 13:46, 31 July 2013



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 a^{2} - 6 a + 6}{9}.
  • Variance[{1, 2, a} {20, 3, 1}] yields \frac{2 \; a² - 52 \; a + 632}{9}
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