Difference between revisions of "SD Command"
From GeoGebra Manual
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;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=<div><code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields ''1 | + | :{{example|1=<div><code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields ''1.41''</div>}} |
;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=<div><code><nowiki>SD[{20, 40, 41, 42, 40, 54}, {20, 6, 4, 5, 2} ]</nowiki></code> yields ''5.96'' | + | :{{example|1=<div><code><nowiki>SD[{20, 40, 41, 42, 40, 54}, {20, 6, 4, 5, 2} ]</nowiki></code> yields ''5.96''</div>}} |
==CAS Syntax== | ==CAS Syntax== | ||
;SD[ <List of Numbers> ] | ;SD[ <List of Numbers> ] | ||
| + | :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>}} | ||
;SD[ <List of Numbers>, <List of Frequencies> ] | ;SD[ <List of Numbers>, <List of Frequencies> ] | ||
| − | :{{ | + | : Calculates the weighted standard deviation of the given numbers. |
| + | :{{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]] $\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3 \sqrt{2} \; } \; }{ \; 3 \; }\;$ }} | ||
:{{note|1=<div>See also [[Mean Command]].</div>}} | :{{note|1=<div>See also [[Mean Command]].</div>}} | ||
Revision as of 13:02, 5 February 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[ <List of Numbers>, <List of Frequencies> ]
- Calculates the weighted standard deviation of the given numbers.
- Example:
SD[{-3 + 2 x, -1- 4 x, -2 + 5 x^2}]is evaluated as
$\frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3 \sqrt{2} \; } \; }{ \; 3 \; }\;$
- Note:See also Mean Command.
