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PolytopeQuartiles[{x1, ..., xn}]
gives a list of the loci of the quartiles of the bivariate data x1, x2, ..., where the data have been ordered using convex hulls centered on ConvexHullMedian[{x1, ..., xn}].
  • PolytopeQuartiles returns a list of Polytope objects, centered at ConvexHullMedian[{x1, ..., xn}]. The fractions of the data lying inside the Polytope objects are 0.25, 0.5, and 0.75.