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Ponte Academic Journal
Feb 2017, Volume 73, Issue 2

TO DETERMINE SKEWNESS, MEAN AND DEVIATION WITH A NEW APPROACH ON CONTINUOUS DATA

Author(s): Mehmet Guven Gunver ,Mustafa Sukru Senocak, Suphi Vehid

J. Ponte - Feb 2017 - Volume 73 - Issue 2
doi: 10.21506/j.ponte.2017.2.34



Abstract:
In light of the deeply embedded controversy surrounding the skewness and its potential exaggerated effects on standard deviation and other statistical measures, this study attempts to suggest an alternative approach, the �Golden Ratio in Statistics�. The GRiS method acknowledges the effects of skewness by accounting for each data elements� contribution to the center point based on its specific location in the data stack. The �Golden Ratio� is chosen as the typical tool for this system. This study recommends a more realistic expression of the standard deviation, the GRiS deviations, which overcomes the effect of extreme values in skewed data stacks. A formula for the coefficient of skewness is also put forward to quantitatively measure the symmetry of a data stack around its median. The practical benefits of the GRiS approach are demonstrated through a data analysis of the characteristics of wine. Finally, the implications behind this approach are discussed.
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