{"id":26762,"count":1,"description":"In statistics and computational geometry, the notion of centerpoint is a generalization of the median to data in higher-dimensional Euclidean space. Given a set of points in d-dimensional space, a centerpoint of the set is a point such that any hyperplane that goes through that point divides the set of points in two roughly equal subsets: the smaller part should have at least a 1\/(d\u00a0+\u00a01) fraction of the points. Like the median, a centerpoint need not be one of the data points. Any non-empty set of points (with no duplicates) has at least one centerpoint. Closely related concepts are the Tukey depth of a point (the minimum number of sample points on one side of a hyperplane through the point) and a Tukey median of a point set (a point maximizing the Tukey depth). A centerpoint is a point of depth at least n\/(d\u00a0+\u00a01), and a Tukey median must be a centerpoint, but not every centerpoint is a Tukey median. Both terms are named after John Tukey.\nFor another generalization of the median to...","link":"https:\/\/www.skateboarding-lessons.com\/go\/tag\/centerpoint\/","name":"Centerpoint","slug":"centerpoint","taxonomy":"post_tag","meta":[],"_links":{"self":[{"href":"https:\/\/www.skateboarding-lessons.com\/go\/wp-json\/wp\/v2\/tags\/26762","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.skateboarding-lessons.com\/go\/wp-json\/wp\/v2\/tags"}],"about":[{"href":"https:\/\/www.skateboarding-lessons.com\/go\/wp-json\/wp\/v2\/taxonomies\/post_tag"}],"wp:post_type":[{"href":"https:\/\/www.skateboarding-lessons.com\/go\/wp-json\/wp\/v2\/posts?tags=26762"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}