An Euclidean View of Center and Spread // Illustrates the
concepts developed in Sarkar and Rashid (2019, ISSN:0025-5742)
http://www.google.com/url?sa=trct=jq=esrc=ssource=webcd=cad=rja
uact=8ved=2ahUKEwiH4deL3q3xAhWX73MBHR_wDaYQFnoECAUQAwurl=https%
3A%2F%2Fwww.indianmathsociety.org.in%2Fmathstudent-
part-2-2019.pdfusg=AOvVaw3SY--3T6UAWUnH5-Nj6bSc. This package
helps a user guess four things (mean, MD, scaled MSD, and RMSD)
before they get the SD. 1) The package displays the Empirical
Cumulative Distribution Function (ECDF) of the given data. The
user must choose the value of the mean by equating the areas of
two colored (blue and green) regions. The package gives
feedback to improve the choice until it is correct.
Alternatively, the reader may continue with a different guess
for the center (not necessarily the mean). 2) The user chooses
the values of the Mean Deviation (MD) based on the ECDF of the
deviations by equating the areas of two newly colored (blue and
green) regions, with feedback from the package until the user
guesses correctly. 3) The user chooses the Scaled Mean Squared
Deviation (MSD) based on the ECDF of the scaled square
deviations by equating the areas of two newly colored (blue and
green) regions, with feedback from the package until the user
guesses correctly. 4) The user chooses the Root Mean Squared
Deviation (RMSD) by ensuring that its intersection with the
ECDF of the deviations is at the same height as the
intersection between the scaled MSD and the ECDF of the scaled
squared deviations. Additionally, the intersection of two blue
lines (the green dot) should fall on the vertical line at the
maximum deviation. 5) Finally, if the mean is chosen correctly,
only then the user can view the population SD (the same as the
RMSD) and the sample SD (sqrt(n/(n-1))*RMSD) by clicking the
respective buttons. If the mean is chosen incorrectly, the user
is asked to correct it.