Statistical significance of the median of a set of points on the plane Moreno, Antonio López, Abraham Ramírez Uclés, Rafael Statistical Geometry Median The word median appears in two apparently different mathematical contexts. In statistics it appears as a measurement of central position and in geometry as one of the lines determined by the barycenter. Why do we use the same word if they are apparently different things? We can intuit a first relationship. In geometry, a medial line in a triangle passes through a vertex and splits the triangle into two equal areas. This property could be related to the definition of the median on the real line, but the intersection point of the medians is the barycenter, which turns out to be the arithmetic mean of the three vertices, understanding the barycenter as the centre of gravity or a figure’s centre of mass. 2021-05-24T06:54:29Z 2021-05-24T06:54:29Z 2021-05 info:eu-repo/semantics/article Moreno, A., Viveros, A. y Ramírez, R. (2021). Statistical significance of the median of a set of points on the plane. The College Mathematics Journal, 52(3), 205-218 http://hdl.handle.net/10481/68642 eng info:eu-repo/semantics/openAccess