# Difference between revisions of "SigmaXX Command"

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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|statistics}} |

− | {{command|statistics}} | + | ;SigmaXX( <List of Points> ) |

− | ; SigmaXX | + | :Calculates the sum of squares of the ''x''-coordinates of the given points. |

− | :{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX | + | :{{Example|1=Let <code><nowiki>list1 = {(-3, 4), (-1, 4), (-2, 3), (1, 3), (2, 2), (1, 5)}</nowiki></code> be a list of points. <code><nowiki>SigmaXX(list1)</nowiki></code> yields the value ''20''.}} |

− | ; SigmaXX | + | |

− | + | ||

+ | ;SigmaXX( <List of Raw Data> ) | ||

+ | :Calculates the sum of squares of the given numbers. | ||

+ | :{{Example|1=In order to work out the variance of a list you may use <code>SigmaXX(list) / Length(list) - Mean(list)^2</code>.}} | ||

+ | |||

+ | |||

+ | ; SigmaXX( <List of Numbers>, <List of Frequencies> ) | ||

+ | :Calculates the weighted sum of squares of the given numbers. | ||

+ | :{{Example|1= Let <code><nowiki>list1 = {3, 2, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 3, 2, 1, 1, 2, 3}</nowiki></code> be a list of numbers. <code><nowiki>Unique(list1)</nowiki></code> yields ''list2 = {1, 2, 3, 4, 5}'' and <code><nowiki>Frequency(list1)</nowiki></code> yields ''list3 = {4, 5, 7, 2, 1}''. Command <code><nowiki>SigmaXX(list2, list3)</nowiki></code> yields the value ''144''.}} |

## Latest revision as of 10:10, 12 October 2017

- SigmaXX( <List of Points> )
- Calculates the sum of squares of the
*x*-coordinates of the given points. **Example:**Let`list1 = {(-3, 4), (-1, 4), (-2, 3), (1, 3), (2, 2), (1, 5)}`

be a list of points.`SigmaXX(list1)`

yields the value*20*.

- SigmaXX( <List of Raw Data> )
- Calculates the sum of squares of the given numbers.
**Example:**In order to work out the variance of a list you may use`SigmaXX(list) / Length(list) - Mean(list)^2`

.

- SigmaXX( <List of Numbers>, <List of Frequencies> )
- Calculates the weighted sum of squares of the given numbers.
**Example:**Let`list1 = {3, 2, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 3, 2, 1, 1, 2, 3}`

be a list of numbers.`Unique(list1)`

yields*list2 = {1, 2, 3, 4, 5}*and`Frequency(list1)`

yields*list3 = {4, 5, 7, 2, 1}*. Command`SigmaXX(list2, list3)`

yields the value*144*.