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ERIC Number: EJ850651
Record Type: Journal
Publication Date: 2005-Jul
Pages: 13
Abstractor: As Provided
Reference Count: 30
ISBN: N/A
ISSN: ISSN-1069-1898
Mean, Median, and Skew: Correcting a Textbook Rule
von Hippel, Paul T.
Journal of Statistics Education, v13 n2 Jul 2005
Many textbooks teach a rule of thumb stating that the mean is right of the median under right skew, and left of the median under left skew. This rule fails with surprising frequency. It can fail in multimodal distributions, or in distributions where one tail is long but the other is heavy. Most commonly, though, the rule fails in discrete distributions where the areas to the left and right of the median are not equal. Such distributions not only contradict the textbook relationship between mean, median, and skew, they also contradict the textbook interpretation of the median. We discuss ways to correct ideas about mean, median, and skew, while enhancing the desired intuition. (Contains 9 figures.)
American Statistical Association. 732 North Washington Street, Alexandria, VA 22314. Tel: 703-684-1221; Tel: 888-231-3473; Fax: 703-684-2037; e-mail: asainfo@amstat.org; Web site: http://www.amstat.org/publications/jse
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A