# Statistical significance of the median of a set of points on the plane

Moreno, Antonio; López, Abraham; Ramírez, Rafael (2021). Statistical significance of the median of a set of points on the plane. The College Mathematics Journal, 52(3), pp. 205-213 .

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URL Oficial: https://doi.org/10.1080/07468342.2021.1909969

## Resumen

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.

Tipo de Registro: Artículo 13. Matemáticas escolares > Geometría04. Alumno > Necesidades especiales > Alumnos con talento matemático10. Otras nociones de Educación Matemática > Sistemas de representación > Gráfico13. Matemáticas escolares > Estadística10. Otras nociones de Educación Matemática > Sistemas de representación > Simbólico Educación Secundaria Media (17 y 18 años) 23263 Rafael Ramírez 09 Jul 2021 16:35 09 Jul 2021 16:35

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