Author(s)

Sarah M. Tooth, John A. Dobelman^*

Department of Statistics, Rice University, Houston, TX, USA.

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.

Geometry, Power Means, Pythagorean Means, Outliers

Tooth, S. and Dobelman, J. (2016) A New Look at Generalized Means. Applied Mathematics, 7, 468-472. doi: 10.4236/am.2016.76042.