Statistical Measures of Location: Mathematical Formulas versus Geometric Approach Statistical Measures of Location: Mathematical Formulas versus Geometric Approach
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Abstract
This paper illustrates with an example of the comparison of the geometrical and the numerical approaches
of measures of location. A geometrical derivation of the most popular measure of location (mean) was
derived from a histogram by determining the centroid of a histogram. The numerical or mathematical
expression of the other measures of location, median and mode were derived from ogive and histogram,
respectively. Finally, the research establishes that the two approaches produce the same results.
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