Variance: Difference between revisions

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1.  
1. ''Maths and financial maths.''


A statistical measure of the spread of given data around their mean.  
A statistical measure of the spread of given data around their mean.  
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(where n = the number of items in the sample).
(where n = the number of items in the sample).


This type of variance is sometimes denoted ''Var'' or ''SD<sup>2</sup>'' (being the square of [[standard deviation]]).
This type of variance is often denoted ''Var'' or ''SD<sup>2</sup>'' (being the square of [[standard deviation]], ''SD'').




2.  
2. ''Variability.''


More generally, the degree of variability in an item, especially the degree of variabilty over time.   
More generally, the degree of variability in an item, especially the degree of variabilty over time.   
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3.  
3. ''Management accounting and generally.''


More generally still, any difference, especially a difference between two related financial variables.  
More generally still, any difference, especially a difference between two related financial variables.  
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== See also ==
== See also ==
* [[Adverse]]
* [[Adverse]]
* [[B/(W)]]
* [[Covariance]]
* [[Covariance]]
* [[Delta-normal method]]
* [[Delta-normal method]]
* [[Elasticity]]
* [[Elasticity]]
* [[Flexible budgeting]]
* [[Flexible budgeting]]
* [[B/(W)]]
* [[Mean]]
* [[Mean]]
* [[Mean-variance efficiency]]
* [[Mean-variance efficiency]]
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* [[Standard deviation]]
* [[Standard deviation]]
* [[Value at risk]]
* [[Value at risk]]
* [[Variance analysis]]
[[Category:Accounting,_tax_and_regulation]]
[[Category:The_business_context]]
[[Category:Identify_and_assess_risks]]
[[Category:Manage_risks]]
[[Category:Risk_reporting]]
[[Category:Financial_products_and_markets]]

Latest revision as of 12:44, 21 December 2020

1. Maths and financial maths.

A statistical measure of the spread of given data around their mean.

The greater the variance, the greater the spread. The variance is calculated from the mean as the average of the squared differences of each data point from the mean.

Sampling may be used to estimate the variance of an underlying parent population from the variance of a sample selected from the parent population.

The estimated variance of the parent population is greater than the variance of the sample by a factor of n/[n-1] (where n = the number of items in the sample).

This type of variance is often denoted Var or SD2 (being the square of standard deviation, SD).


2. Variability.

More generally, the degree of variability in an item, especially the degree of variabilty over time.

Variance in this wider sense may be quantified in a number of different ways (which can include the stricter statistical measure of variance, as defined in 1. above).


3. Management accounting and generally.

More generally still, any difference, especially a difference between two related financial variables.

For example in management accounting, the difference between the actual cost of an item and the budgeted cost.


See also