Have You Seen the Standard Deviation?

  • Jyotirmoy Sarkar Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA
  • Mamunur Rashid DePauw University, Greencastle, IN 46135, USA
Keywords: Cumulative histogram, dot plot, Empirical cumulative distribution function, histogram, mean, standard deviation

Abstract

Background: Sarkar and Rashid (2016a) introduced a geometric way to visualize the mean based on either the empirical cumulative distribution function of raw data, or the cumulative histogram of tabular data.

Objective: Here, we extend the geometric method to visualize measures of spread such as the mean deviation, the root mean squared deviation and the standard deviation of similar data.

Materials and Methods: We utilized elementary high school geometric method and the graph of a quadratic transformation.

Results: We obtain concrete depictions of various measures of spread.

Conclusion: We anticipate such visualizations will help readers understand, distinguish and remember these concepts.

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Author Biographies

Jyotirmoy Sarkar, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA

Department of Mathematical Sciences

Mamunur Rashid, DePauw University, Greencastle, IN 46135, USA

Department of Mathematics

Published
2019-09-16
How to Cite
Sarkar, J., & Rashid, M. (2019). Have You Seen the Standard Deviation?. Nepalese Journal of Statistics, 3, 1-10. https://doi.org/10.3126/njs.v3i0.25574
Section
Research Articles