The Range function computes the range of the specified data set, which is defined as the difference between the largest and the smallest values. Note that the range is based only on the lowest and highest extreme values in the sample. Use the Support command to compute the support set of a random variable.

The first parameter can be a one-dimensional data set (given as e.g. a Vector) or a Matrix data set.

All computations involving data are performed in floating-point; therefore, all data provided must have type realcons and all returned solutions are floating-point, even if the problem is specified with exact values.

For more information about computation in the Statistics package, see the Statistics[Computation] help page.

The options argument can contain one or more of the options shown below. More information for some options is available in the Statistics[DescriptiveStatistics] help page.

ignore=truefalse -- This option controls how missing data is handled by the Range command. Missing items are represented by undefined or Float(undefined). So, if ignore=false and A contains missing data, the Range command will return undefined. If ignore=true all missing items in A will be ignored. The default value is false.

weights=Vector -- Data weights. The number of elements in the weights array must be equal to the number of elements in the original data sample. By default all elements in A are assigned weight $1$. This options is added for consistency only as adding weights to the data does not affect the range.

$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$A≔\mathrm{Sample}\left(\mathrm{Rayleigh}\left(3\right)\,{10}^5\right)\:$

$\mathrm{Range}\left(A\right)$

$13.8294890185824$

$V≔⟨\mathrm{seq}\left(i\,i=57..77\right)\,\mathrm{undefined}⟩\:$

$W≔⟨\mathrm{seq}\left(1\,i=1..22\right)⟩\:$

$\mathrm{Range}\left(V\right)$

$Float\left(\mathrm{undefined}\right)$

$\mathrm{Range}\left(V\,\mathrm{ignore}=\mathrm{true}\right)$

$20.$

$\mathrm{Range}\left(V\,\mathrm{weights}=W\,\mathrm{ignore}=\mathrm{true}\right)$

$20.$

$M≔\mathrm{Matrix}\left(\left[\left[3\,1130\,114694\right]\,\left[4\,1527\,127368\right]\,\left[3\,907\,88464\right]\,\left[2\,878\,96484\right]\,\left[4\,995\,128007\right]\right]\right)$

$M≔\left[\begin{array}{ccc}3& 1130& 114694\\ 4& 1527& 127368\\ 3& 907& 88464\\ 2& 878& 96484\\ 4& 995& 128007\end{array}\right]$

$\mathrm{Range}\left(M\right)$

$\left[\begin{array}{ccc}2.& 649.& 39543.\end{array}\right]$

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

The A parameter was updated in Maple 16.