TITLE:
A New Look at Generalized Means
AUTHORS:
Sarah M. Tooth, John A. Dobelman
KEYWORDS:
Geometry, Power Means, Pythagorean Means, Outliers
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.6,
March
24,
2016
ABSTRACT: Since antiquity, the relationships between 2-tuples and their Pythagorean means have been represented in geometric forms. In this paper, we extend the practice to generalized power means through new representations, and also to 3-tuples. These geometric forms give rise to new algebraic expressions for summary statistics of 2- and 3-tuples.