Difference between revisions of "SD 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}}
;SD[ &lt;List of Numbers> ]
+
;SD( &lt;List of Numbers> )
 
:Calculates the [[w:Standard deviation|standard]] deviation of the numbers in the list.
 
:Calculates the [[w:Standard deviation|standard]] deviation of the numbers in the list.
 
:{{example|1=<code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields ''1.41''}}
 
:{{example|1=<code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields ''1.41''}}
  
  
;SD[ &lt;List of Numbers>, &lt;List of Frequencies> ]: Calculates the weighted ''standard deviation'' of the given numbers.
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;SD( &lt;List of Numbers>, &lt;List of Frequencies> ): Calculates the weighted ''standard deviation'' of the given numbers.
 
:{{example|1=<code><nowiki>SD[{20, 40, 41, 42, 40, 54}, {20, 6, 4, 5, 2} ]</nowiki></code> yields ''5.96''}}
 
:{{example|1=<code><nowiki>SD[{20, 40, 41, 42, 40, 54}, {20, 6, 4, 5, 2} ]</nowiki></code> yields ''5.96''}}
  
  
 
==CAS Syntax==
 
==CAS Syntax==
;SD[ &lt;List of Numbers> ]
+
;SD( &lt;List of Numbers> )
 
:Calculates the ''standard deviation'' of the numbers in the list.
 
:Calculates the ''standard deviation'' of the numbers in the list.
 
:{{example|1=<div>
 
:{{example|1=<div>

Revision as of 16:17, 7 October 2017


SD( <List of Numbers> )
Calculates the standard deviation of the numbers in the list.
Example: SD[{1, 2, 3, 4, 5}] yields 1.41


SD( <List of Numbers>, <List of Frequencies> )
Calculates the weighted standard deviation of the given numbers.
Example: SD[{20, 40, 41, 42, 40, 54}, {20, 6, 4, 5, 2} ] yields 5.96


CAS Syntax

SD( <List of Numbers> )
Calculates the standard deviation of the numbers in the list.
Example:
  • SD[{1, 2, 3, 4, 5}] yields \sqrt{2}.
  • SD[{-3 + 2 x, -1- 4 x, -2 + 5 x^2}] is evaluated as \sqrt{2} \frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} } { 3 } .


Note:
See also Mean Command.
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