Difference between revisions of "SD Command"

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:Calculates the standard deviation of the numbers in the list.
 
:Calculates the 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''}}
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 +
 
;SD[ <List of Numbers>, <List of Frequencies> ]: Calculates the weighted standard deviation of the given numbers.
 
;SD[ <List of Numbers>, <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''}}
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==CAS Syntax==
 
==CAS Syntax==
 
;SD[ <List of Numbers> ]
 
;SD[ <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=<code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields <math>\sqrt{2}</math>}}
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:{{example|1=<div>
;SD[ <List of Numbers>, <List of Frequencies> ]
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:* <code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields <math>\sqrt{2}</math>.
: Calculates the weighted standard deviation of the given numbers.
+
:* <code><nowiki>SD[{-3 + 2 x, -1- 4 x, -2 + 5 x^2}]</nowiki></code>  is [[Evaluate Tool|evaluated]] as [[File:Tool Evaluate.gif]] $\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} \; \sqrt{2}  } { \; 3 \; }$. </div>}}
:{{example|1=<code><nowiki>SD[{-3 + 2 x, -1- 4 x, -2 + 5 x^2}]</nowiki></code>  is [[Evaluate Tool|evaluated]] as [[File:Tool Evaluate.gif]] $\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} \; \sqrt{2}  } { \; 3 \; }$ }}
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:{{note|1=<div>See also [[Mean Command]].</div>}}
 
:{{note|1=<div>See also [[Mean Command]].</div>}}

Revision as of 14:26, 16 July 2013



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 Tool Evaluate.gif $\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} \; \sqrt{2} } { \; 3 \; }$.


Note:
See also Mean Command.
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