Four Formulations of Average Derived from Pythagorean Means

Dhritikesh Chakrabarty

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P512

Four Formulations of Average Derived from Pythagorean Means

Dhritikesh Chakrabarty

Abstract

Four definitions / formulations of average termed here as Arithmetic-Geometric Mean (abbreviated as AGM), ArithmeticHarmonic Mean (abbreviated as AHM), Geometric-Harmonic Mean (abbreviated as GHM) and Arithmetic-GeometricHarmonic (abbreviated as Mean AGHM) respectively have been derived / developed from the three Pythagorean means namely arithmetic mean (abbreviated as Mean AM), geometric mean (abbreviated as Mean GM) and harmonic mean (abbreviated as Mean HM) with an objective of developing of more accurate measures of central tendency of data. The derivations of these four formulations of average, with numerical examples, have been presented in this paper.

Keywords

ABC4(G), GA5(G), F-polynomial, F-index, Zagreb index.

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Citation :

Dhritikesh Chakrabarty, "Four Formulations of Average Derived from Pythagorean Means," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 97-118, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P512