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Silvia Sharna

Jahangirnagar University



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Mian Arif Shams Adnan

Ball State University



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Rahmatullah S. Imon

Ball State University



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654 – New Ideas in Introductory Statistics

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

Sponsor: Section on Statistical Education
Keywords: Arithmetically Normal, Arithmetically Symmetric, Geometrically Asymmetric, Geometrically Abnormal, Harmonically Normal, Harmonically Symmetric

Silvia Sharna

Jahangirnagar University

Mian Arif Shams Adnan

Ball State University

Rahmatullah S. Imon

Ball State University

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.

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