Tukey regions are polytopes in the Euclidean space, viz.
upper-level sets of the Tukey depth function on given data. The bordering
hyperplanes of a Tukey region are computed as well as its vertices, facets,
centroid, and volume. In addition, the Tukey median set, which is the
non-empty Tukey region having highest depth level, and its barycenter
(= Tukey median) are calculated. Tukey regions are visualized in dimension
two and three. For details see Liu, Mosler, and Mozharovskyi