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stats[describe,quartile] - Quartiles of a Statistical List

Calling Sequence

stats[describe, quartile[which]](data, gap)

describe[quartile[which]](data, gap)

Parameters

data

-

statistical list

which

-

quartile required

gap

-

(optional, default=false) The common size of gaps between classes.

Description

• 

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

• 

The function quartile of the subpackage stats[describe, ...] finds the item in data that corresponds to the quartile specified by which. If the requested quartile falls between entries, it is interpolated.

• 

The values given by quartile can be thought of as 3 values that partition the data set, once sorted, into 4 data sets of equal weight.

• 

Half of the difference between the third quartile and the first quartile is a measure of the dispersion of the data. This quantity is known as the semi-interquartile range and the quartile deviation. Refer to describe[standarddeviation] for more information about measures of the dispersion of data.

• 

Missing data are ignored.

• 

For information about the parameter gap, see describe[gaps].

• 

The data must be numeric.

• 

The command with(stats[describe],quartile) 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:

data:=10,20,30,40,50,60,70,80

data:=10,20,30,40,50,60,70,80

(1)

describequartile1data

20

(2)

To compute the quartiles, all at once

quartiles:=seqdescribequartilei,i=1..3:

quartilesdata

20,40,60

(3)

The semi-interquartile range is given by

semi_QR:=x→describequartile3xdescribequartile1x2:

semi_QRdata

20

(4)

See Also

describe(deprecated)[decile], describe(deprecated)[gaps], describe(deprecated)[median], describe(deprecated)[percentile], describe(deprecated)[quantile], describe(deprecated)[range], describe(deprecated)[standarddeviation], Statistics, Statistics[Quartile]


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