Difference between revisions of "SampleSD Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
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;SampleSD( &lt;List of Numbers> )
;SampleSD[ <List of Numbers> ]
 
 
:Returns [[w:Standard_deviation#Estimation|sample standard deviation]] of given [[Lists|list]] of numbers.
 
:Returns [[w:Standard_deviation#Estimation|sample standard deviation]] of given [[Lists|list]] of numbers.
:{{example|1=<div><code><nowiki>SampleSD[{1, 2, 3}]</nowiki></code> yields ''1''.</div>}}
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:{{example|1=<code><nowiki>SampleSD({1, 2, 3})</nowiki></code> yields ''1''.}}
  
;SampleSD[ <List of Numbers>, <List of Frequencies> ]
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;SampleSD( &lt;List of Numbers>, &lt;List of Frequencies> )
:Returns the standard deviation of the sample of numbers having the given frequencies.
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:Returns the ''standard deviation'' of the sample of numbers having the given frequencies.
:{{example|1=<div><code><nowiki>SampleSD[{1, 2, 3, 4, 4},{1, 1, 1, 2}]</nowiki></code> yields ''1.08''.</div>}}
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:{{example|1=<code><nowiki>SampleSD({1, 2, 3, 4, 4},{1, 1, 1, 2})</nowiki></code> yields ''1.08''.}}
  
==CAS Syntax==
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{{hint|1=
;SampleSD[ <List of Numbers> ]
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If the list contains undefined variables in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]], the command yields a formula for the ''sample standard deviation''.
:Returns [[w:Standard_deviation#Estimation|sample standard deviation]] of given [[Lists|list]] of numbers. If the list contains undefined variables, it yields a formula for the sample standard deviation.
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:{{example|1=<code><nowiki>SampleSD({1, 2, a})</nowiki></code> yields <math>\frac{\sqrt{a²-3a+3&#125;}{\sqrt{3&#125;}</math>.}}
:{{example|1=<div><code><nowiki>SampleSD[{1, 2, a}]</nowiki></code> yields <math>\frac{\sqrt{a²-3a+3&#125;}{\sqrt{3&#125;}</math>.</div>}}
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}}

Latest revision as of 10:04, 12 October 2017


SampleSD( <List of Numbers> )
Returns sample standard deviation of given list of numbers.
Example: SampleSD({1, 2, 3}) yields 1.


SampleSD( <List of Numbers>, <List of Frequencies> )
Returns the standard deviation of the sample of numbers having the given frequencies.
Example: SampleSD({1, 2, 3, 4, 4},{1, 1, 1, 2}) yields 1.08.


Note Hint: If the list contains undefined variables in the Menu view cas.svg CAS View, the command yields a formula for the sample standard deviation.
Example: SampleSD({1, 2, a}) yields \frac{\sqrt{a²-3a+3}}{\sqrt{3}}.
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