# IQR

##### The Interquartile Range

computes interquartile range of the `x`

values.

- Keywords
- robust, distribution, univar

##### Usage

`IQR(x, na.rm = FALSE, type = 7)`

##### Arguments

- x
- a numeric vector.
- na.rm
- logical. Should missing values be removed?
- type
- an integer selecting one of the many quantile algorithms,
see
`quantile`

.

##### Details

Note that this function computes the quartiles using the
`quantile`

function rather than following
Tukey's recommendations,
i.e., `IQR(x) = quantile(x, 3/4) - quantile(x, 1/4)`

. For normally \(N(m,1)\) distributed \(X\), the expected value of
`IQR(X)`

is `2*qnorm(3/4) = 1.3490`

, i.e., for a normal-consistent
estimate of the standard deviation, use `IQR(x) / 1.349`

.

##### References

Tukey, J. W. (1977).
*Exploratory Data Analysis.*
Reading: Addison-Wesley.

##### See Also

##### Examples

`library(stats)`

```
IQR(rivers)
```

*Documentation reproduced from package stats, version 3.3.3, License: Part of R 3.3.3*

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