Difference between revisions of "SampleVariance Command"

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(output of last example fixed)
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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}}
;SampleVariance[ &lt;List of Raw Data> ]
+
;SampleVariance( &lt;List of Raw Data> )
 
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers.
 
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers.
 
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5} ]</nowiki></code> yields ''a = 2.5''.</div>}}
 
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5} ]</nowiki></code> yields ''a = 2.5''.</div>}}
  
  
; SampleVariance[ &lt;List of Numbers>, &lt;List of Frequencies> ]
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; SampleVariance( &lt;List of Numbers>, &lt;List of Frequencies> )
 
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers considering the frequencies.
 
:Returns the [[w:Sample_variance#Population_variance_and_sample_variance|sample variance]] of given list of numbers considering the frequencies.
 
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ]</nowiki></code> yields ''a = 1.67''.</div>}}
 
:{{example|1=<div><code><nowiki>SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ]</nowiki></code> yields ''a = 1.67''.</div>}}

Revision as of 16:17, 7 October 2017


SampleVariance( <List of Raw Data> )
Returns the sample variance of given list of numbers.
Example:
SampleVariance[ {1, 2, 3, 4, 5} ] yields a = 2.5.


SampleVariance( <List of Numbers>, <List of Frequencies> )
Returns the sample variance of given list of numbers considering the frequencies.
Example:
SampleVariance[ {1, 2, 3, 4, 5}, {3, 2, 4, 4, 1} ] yields a = 1.67.


Note Hint: If the list in the Menu view spreadsheet.svg CAS View contains undefined variables, this command yields a formula for the sample variance.
Example:
SampleVariance[ {x, y, z} ] yields \frac{1}{3} x^{2} - \frac{1}{3} x y - \frac{1}{3}xz + \frac{1}{3} y^{2} - \frac{1}{3} y z + \frac{1}{3} z^{2}.
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