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)
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