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stats[describe, meandeviation]

Mean Deviation of a Statistical List

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

stats[describe, meandeviation](data)

describe[meandeviation](data)

Parameters

data

-

statistical list

Description

• 

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

• 

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

• 

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.

• 

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

• 

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].

• 

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

• 

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.

withstats:

The data 1,3,7 is more dispersed than the data 2,3,5, as can be seen as follows:

describe[meandeviation]1,3,7,describe[meandeviation]2,3,5

209,109

(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).

describe[meandeviation]Weight1,100,Weight100000,1

1999980010201

(2)

evalf

1960.572493

(3)

See Also

describe(deprecated)[mean]

describe(deprecated)[standarddeviation]

describe(deprecated)[variance]

Statistics

Statistics[MeanDeviation]

stats(deprecated)[data]

transform(deprecated)[classmark]

 


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