For a data set X of size n, the Rank command ranks the elements of X according to their floating-point values.

By default, an array of ranks is returned, that is an array of distinct integers between 1 and n. By default the elements of X are ranks in the ascending order. Note that if i is different from j then  and  will receive distinct ranks even if data[i] = data[j].

The first parameter X is the data set (list or Array).

The options argument can contain one or more of the options shown below.

order=ascending or descending -- Indicate whether the elements of X should be ranked in the ascending or descending order. The default value is order=ascending.

output=table -- By default (output=rtable) different elements of X receive different ranks even if the two elements have the same numeric value. If this option is set to output=table then the elements of X will be ranked according to their position in the sorted sample with all multiple occurrences removed.

Each element of X can be any Maple expression, but this expression must be able to be evaluated to a floating-point number. Failure to evaluate to do so will generate an exception.

If the output option is set to output=table all elements in X must be of type numeric.

The Rank command leaves the original data set X unchanged.