Abstract

Let (Equation) and (Equation) be positive integers with (Equation) . In this paper, we show that every positive rational number can be written as the form (Equation) , where m,n∈N if and only if (Equation) or (Equation) . Moreover, if (Equation) , then the proper representation of such representation is unique.

Highlights

  • Data with large observations, depending on the nature and depth of the inquiry, are often generated in all areas of human endeavor such as business, sports, academic institutions, research institutions, internet services etc [1,2,3,4]

  • Understanding of many instructors of introductory statistics classes are: mean cannot be graphically determined and numerical approach is more precise than geometrical technique

  • We make known that mathematical formulas for mean, median and mode were derived geometrically

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Summary

Introduction

Data with large observations, depending on the nature and depth of the inquiry, are often generated in all areas of human endeavor such as business, sports, academic institutions, research institutions, internet services etc [1,2,3,4]. Representative in the sense that, the single number wholly summarizes or mirrors with relatively high precision, the characteristics of interest in the entire observations. Such representative number could be a central value for all the observations. Measures of central tendency is the study of dataset cluster around the central value popularly called average [7, 8]

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