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Abstract
The calculation of the upper and lower quartile values of a data set in an elementary statistics course is done in at least a dozen different ways, depending on the text or computer/calculator package being used (such as SAS, JMP, MINITAB, Excel, and the TI-83 Plus). In this paper, we examine the various methods and offer a suggestion for a new method which is both statistically sound and easy to apply.
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Acknowledgements
I would like to thank the Associate Editor and several reviewers for their careful and helpful comments and for references to the literature. I would also like to thank my daughter, Rebecca, for preparing , , and and for performing the Mathematica calculations. Further thanks are due to Professor Russel John for helpful e-mails.