On median and quartile sets of ordered random variables

Banič, Iztok (author), Žerovnik, Janez (author)

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 rela- tionships between these sets. We also use these results to provide an elementary correctness proof of the Langford's doubling method.

• Language: English
• Keywords: statistic, probability, median, first quartile, third quartile, median set, first quartile set, third quartile set
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: 18 str.
• Numbering: Vol. 3, no. 2
• PID: 20.500.12556/RUL-134482
• UDC: 519.2(045)
• ISSN on article: 2590-9770
• DOI: 10.26493/2590-9770.1326.9fd
• COBISS.SI-ID: 17163291
• Publication date in RUL: 18.01.2022

Record is a part of a journal

• Title: The art of discrete and applied mathematics
• Publisher: Fakulteta za matematiko, naravoslovje in informacijske tehnologije
• ISSN: 2590-9770
• COBISS.SI-ID: 290758912

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 21.08.2020

Secondary language

• Language: Slovenian
• Keywords: statistika, verjetnost, mediana, prvi kvartil, tretji kvartil, srednji niz