Difference between revisions of "SD Command"
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− | <noinclude>{{Manual Page}}[[ | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} |
− | ; SD | + | ;SD( <List of Numbers> ) |
+ | :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''}} | ||
+ | |||
+ | |||
+ | ;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''}} | ||
+ | |||
+ | |||
+ | ==CAS Syntax== | ||
+ | ;SD( <List of Numbers> ) | ||
+ | :Calculates the ''standard deviation'' of the numbers in the list. | ||
+ | :{{example|1=<div> | ||
+ | :* <code><nowiki>SD({1, 2, 3, 4, 5})</nowiki></code> yields <math>\sqrt{2}</math>. | ||
+ | :* <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>. | ||
+ | </div>}} | ||
+ | |||
+ | |||
+ | :{{note|1=See also [[Mean Command]].}} |
Revision as of 17:07, 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.