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Article
The Relationship Between the Mean, Median and Mode with Unimodal Grouped Data
Communications in Statistics - Theory and Methods
  • Shimin Zheng, East Tennessee State University
  • Eunice Mogusu, East Tennessee State University
  • Sreenivas P. Veeranki, University of Texas Medical Branch
  • Megan Quinn, East Tennessee State University
  • Yan Cao, East Tennessee State University
Document Type
Article
Publication Date
5-16-2016
Description
It is widely believed that the median is “usually” between the mean and the mode for skewed unimodal distributions. However, this inequality is not always true, especially with grouped data. Unavailability of complete raw data further necessitates the importance of evaluating this characteristic in grouped data. There is a gap in the current statistical literature on assessing mean–median–mode inequality for grouped data. The study aims to evaluate the relationship between the mean, median, and mode with unimodal grouped data; derive conditions for their inequalities; and present their application.
Disciplines
Citation Information
Shimin Zheng, Eunice Mogusu, Sreenivas P. Veeranki, Megan Quinn, et al.. "The Relationship Between the Mean, Median and Mode with Unimodal Grouped Data" Communications in Statistics - Theory and Methods Vol. 46 Iss. 9 (2016) p. 4285 - 4295 ISSN: 1532-0926
Available at: http://works.bepress.com/shimin-zheng/88/