stats[describe, meandeviation]  Mean Deviation of a Statistical List

Calling Sequence


stats[describe, meandeviation](data)
describe[meandeviation](data)


Description


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The function meandeviation of the subpackage stats[describe, ...] computes the mean deviation of the given data.

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The mean deviation is defined as follows: the mean is first removed from the data, then the absolute value is taken for each item. The mean deviation is the mean of the resulting list.

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The mean deviation is a measure of the dispersion of the data. For more information about such measures, refer to describe[standarddeviation].

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When the arithmetic mean is not a suitable measure of the central tendency of the data, then neither is the mean deviation a suitable measure of the dispersion of the data. For more information please refer to the various measures of central tendency, such as describe[mean].

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Classes are assumed to be represented by the class mark, for example 10..12 has the value 11. Missing data are ignored.

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The command with(stats[describe],meandeviation) allows the use of the abbreviated form of this command.



Examples


Important: The stats package has been deprecated. Use the superseding package Statistics instead.
>


The data 1,3,7 is more dispersed than the data 2,3,5, as can be seen as follows:
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 (1) 
Here is an example where the mean deviation is not a suitable measure of dispersion. The data consists of 100 copies of the value 1, and 1 copy of the value 100000. This last value really has too much of an influence (it is likely that it was a bad reading of an instrument).
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 (2) 
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 (3) 


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