Have You Seen the Standard Deviation?

Authors

  • Jyotirmoy Sarkar Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA
  • Mamunur Rashid DePauw University, Greencastle, IN 46135, USA

DOI:

https://doi.org/10.3126/njs.v3i0.25574

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

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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

Issue

Vol. 3 (2019)

Section

Research Articles

License

© Central Department of Statistics, Tribhuvan University, Kirtipur, Kathmandu, Nepal

The author of article must sign the copyright permission or the author must assign copyright to the Central Department of Statistics, Tribhuvan University prior to publication.

All rights reserved.