How Normal Is Normal? How Symmetric Is Symmetric? How Local Is the Location for a Symmetric Distribution?

• Activity Number: 654
• Type: Contributed
• Date/Time: Thursday, August 13, 2015 : 8:30 AM to 10:20 AM
• Sponsor: Section on Statistical Education
• Author(s): Silvia Sharna* and Mian Adnan and Rahmatullah Shams Imon
• Companies: Jahangirnagar University and Ball State University and Ball State University
• Keywords: Arithmetically Normal ; Arithmetically Symmetric ; Geometrically Asymmetric ; Geometrically Abnormal ; Harmonically Normal ; Harmonically Symmetric

Abstract

The typical terms "Symmetric as well as Normal" in Statistics require some classification, at least, including arithmetically symmetric and/or normal, geometrically symmetric and/or normal, or harmonically symmetric and/or normal. Tests for classifying the pattern and symmetricity and/or normality of the data; finding proper location and other characteristics, Box-plots, cut off points; outlier(s) detection criteria, criticism of the calculations of the location of the existing probability distributions, etc have been developed.