Difference between revisions of "SD Command"

Revision as of 07:24, 3 May 2022

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, 1}) yields 10.98

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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
-{{command|cas=true|statistics}}
+;SD( &lt;List of Numbers> )
-;SD[ <List of Numbers> ]
+:Calculates the [[w:Standard deviation|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''}}
-;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''}}
+;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, 1})</nowiki></code> yields ''10.98''}}
 ==CAS Syntax==
-;SD[ <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=<code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields <math>\sqrt{2}</math>}}
+:{{example|1=<div>
-;SD[ <List of Numbers>, <List of Frequencies> ]
+:* <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 <math> \sqrt{2}  \frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} } {  3  } </math>.
-:{{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]] $\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} \; \sqrt{2}  } { \; 3 \; }$ }}
+</div>}}
-:{{note|1=<div>See also [[Mean Command]].</div>}}
+:{{note|1=See also [[Mean Command]].}}

Difference between revisions of "SD Command"

Revision as of 07:24, 3 May 2022

SD

Command Categories (All commands)

CAS Syntax