Difference between revisions of "Variance Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
{{command|cas=true|statistics}}
 
 
;Variance[ <List of Raw Data> ]
 
;Variance[ <List of Raw Data> ]
 
:Calculates the variance of list elements.
 
:Calculates the variance of list elements.
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: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 a^{2} - 6 a + 6}{9}</math>''.
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:*<code><nowiki>Variance[{1, 2, a}]</nowiki></code> yields ''<math>\frac{2}{9} a^{2} - \frac{2}{3} a + \frac{2}{3}</math>''.
:*<code>Variance[{1, 2, a} {20, 3, 1}]</code> yields '' <math>\frac{2  a² - 52  a + 632}{9}</math>''.  
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:*<code>Variance[{1, 2, a} {20, 3, 1}]</code> yields ''0''.  
 
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Revision as of 15:30, 11 August 2015


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}.
  • Variance[{1, 2, a} {20, 3, 1}] yields 0.
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