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Educational and Psychological Measurement
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Problems of Symmetry

Timothy J. Pettibone

New Mexico State University

James J. Diamond

University of Pennsylvania

A long and widely held belief has been that a distribution can be assumed symmetric if the mean and median are coincidental. Unfortunately this is not the case. Coincidence of mean and median is a necessary but not sufficient condition for symmetry. Two counter examples proving this point are provided. Plotting of the data and third moment computation are recommended alternatives.

Educational and Psychological Measurement, Vol. 34, No. 3, 585-589 (1974)
DOI: 10.1177/001316447403400311
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