BUILT-IN MATHEMATICA SYMBOL

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 symbolic distribution dist.

InterquartileRange[list] is equivalent to Quartiles[list][[3]]-Quartiles[list][[1]].

Interquartile range for a list of exact numbers:

Interquartile range of a symbolic distribution:

Interquartile range for a list of exact numbers:

Out[1]=

Interquartile range of a symbolic distribution:

Out[1]=

InterquartileRange works with any real numeric quantities:

Interquartile ranges for columns of a matrix:

Obtain results at any precision:

Compute results for a large vector or matrix:

Compute results for a SparseArray:

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:

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:

InterquartileRange requires numeric values: