Difference between revisions of "SD Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}} | ||
;SD[ <List of Numbers> ] | ;SD[ <List of Numbers> ] | ||
− | :Calculates the standard deviation of the numbers in the list. | + | :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''}} | :{{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. | + | ;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=<div> | :{{example|1=<div> | ||
:* <code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields <math>\sqrt{2}</math>. | :* <code><nowiki>SD[{1, 2, 3, 4, 5}]</nowiki></code> yields <math>\sqrt{2}</math>. |
Revision as of 09:50, 27 August 2015
- 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.