InterquartileRange

InterquartileRange[list]

gives the difference between the upper and lower quartiles for the elements in list.

InterquartileRange[dist]

gives the difference between the upper and lower quartiles for the distribution dist.

Details

Examples

open allclose all

Basic Examples  (2)

Interquartile range for a list of exact numbers:

Interquartile range of a parametric distribution:

Scope  (13)

Data  (10)

Exact input yields exact output:

Approximate input yields approximate output:

InterquartileRange for a matrix gives columnwise ranges:

Works with large arrays:

SparseArray data can be used just like dense arrays:

Compute results using other parametrizations:

Find the interquartile range for WeightedData:

Find the interquartile range for EventData:

Find the interquartile range for TemporalData:

Find the interquartile range of TimeSeries:

The interquartile range depends only on the values:

Distributions and Processes  (3)

Find the interquartile range for a parametric distribution:

Interquartile range for a derived distribution:

Data distribution:

Interquartile range for a time slice of a random process:

Applications  (6)

InterquartileRange indicates the spread of values:

InterquartileRange can be used as a check for agreement between data and a distribution:

Generate a random sample:

Find the interquartile range of the data:

Compare with the interquartile range of the distribution:

Identify periods of high volatility in stock data using an annual moving interquartile range:

Find the interquartile ranges for the girth, height, and volume of timber, respectively, in 31 felled black cherry trees:

Compute InterquartileRange for slices of a collection of paths of a random process:

Choose a few slice times:

Plot of the interquartile range for the selected times:

Find the interquartile range of the heights for the children in a class:

Plot the interquartile range respective of the median:

Properties & Relations  (4)

InterquartileRange is the difference of linearly interpolated Quantile values:

QuartileDeviation is half the interquartile range:

InterquartileRange is the difference between the first and third quartiles:

BoxWhiskerChart shows the interquartile range for data:

Possible Issues  (1)

InterquartileRange requires numeric values:

Neat Examples  (1)

The distribution of InterquartileRange estimates for 20, 100, and 300 samples:

Introduced in 2007
 (6.0)
 |
Updated in 2017
 (11.1)