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Statistical Measures of Location: Mathematical Formula Versus Geometric Approach

Author

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  • ADENIRAN Adefemi Tajudeen*

    (Department of Statistics, Faculty of Science, University of Ibadan, Ibadan, Oyo State, Nigeria)

  • OJO Johnson Funminiyi

    (Department of Statistics, Faculty of Science, University of Ibadan, Ibadan, Oyo State, Nigeria)

  • FAWEYA Olanrewaju

    (Department of Statistics, Faculty of Science, Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria)

  • BALOGUN Kayode

    (Department of Statistics, Federal Scool of Statistics Ibadan, Oyo State, Nigeria)

Abstract

Graphical method and mathematical formula are the two approaches for estimating measures of location. Understanding of many instructors of introductory statistics classes are: mean cannot be graphically determined and numerical (formula) approach is more precise than geometrical technique. Contrary to their understanding, this study estimate mean of a dataset geometrically (from histogram) by determining the centroid of histogram drawn from such data set. In addition, we also make known that mathematical formulas for mean, median and mode were derived geometrically (either from ogive or histogram). Finally, the research illustrated the two techniques with a survey data and established that the two approaches produce same results.

Suggested Citation

  • ADENIRAN Adefemi Tajudeen* & OJO Johnson Funminiyi & FAWEYA Olanrewaju & BALOGUN Kayode, 2020. "Statistical Measures of Location: Mathematical Formula Versus Geometric Approach," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(7), pages 145-152, 07-2020.
    • Handle: RePEc:arp:ajoams:2020:p:145-152
    DOI: 10.32861/ajams.67.145.152
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