On median and quartile sets of ordered random variables

Authors

  • Iztok Banič University of Maribor, Slovenia, and Institute of Mathematics, Physics and Mechanics, Slovenia, and University of Primorska, Slovenia https://orcid.org/0000-0002-5097-2903
  • Janez Žerovnik University of Ljubljana, Slovenia, and Institute of Mathematics, Physics and Mechanics, Slovenia https://orcid.org/0000-0002-6041-1106

DOI:

https://doi.org/10.26493/2590-9770.1326.9fd

Keywords:

Statistics, probability, median, first quartile, third quartile, median set, first quartile set, third quartile set

Abstract

We give new results about the set of all medians, the set of all first quartiles and the set of all third quartiles of a finite dataset. We also give new and interesting results about relationships between these sets. We also use these results to provide an elementary correctness proof of the Langford's doubling method.

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Published

2020-08-21

Issue

Vol. 3 No. 2 (2020)

Section

Articles