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ConvexHullMedian[{{x1,y1},,{xn,yn}}]

estimates the median to be the mean of the bivariate data points lying on the innermost layer of the convex layers of the data.

Details and Options
Details and Options Details and Options
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As of Version 10, all the functionality of the ComputationalGeometry package is built into the Wolfram System. »

ConvexHullMedian[{{x1,y1},,{xn,yn}}]

estimates the median to be the mean of the bivariate data points lying on the innermost layer of the convex layers of the data.

Details and Options

  • To use ConvexHullMedian, you first need to load the Computational Geometry Package using Needs ["ComputationalGeometry`"].
  • ConvexHullMedian repeatedly removes the convex hull from the data until three or fewer data points remain.
  • The option EstimateDOF->True may be used to include the number of points lying on the innermost convex layer. The default setting is False .
Wolfram Research (2012), ConvexHullMedian, Wolfram Language function, https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html.

Text

Wolfram Research (2012), ConvexHullMedian, Wolfram Language function, https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html.

CMS

Wolfram Language. 2012. "ConvexHullMedian." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html.

APA

Wolfram Language. (2012). ConvexHullMedian. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html

BibTeX

@misc{reference.wolfram_2025_convexhullmedian, author="Wolfram Research", title="{ConvexHullMedian}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html}", note=[Accessed: 18-November-2025]}

BibLaTeX

@online{reference.wolfram_2025_convexhullmedian, organization={Wolfram Research}, title={ConvexHullMedian}, year={2012}, url={https://reference.wolfram.com/language/ComputationalGeometry/ref/ConvexHullMedian.html}, note=[Accessed: 18-November-2025]}

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