Difference between revisions of "SD Command"

From GeoGebra Manual
Jump to: navigation, search
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact )
m
(12 intermediate revisions by 5 users not shown)
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})</nowiki></code> yields ''5.96''}}
 +
 
 +
 
 
==CAS Syntax==
 
==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]].}}

Revision as of 16:07, 17 May 2018


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.
© 2024 International GeoGebra Institute