# 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

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## 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)