Have You Seen the Standard Deviation?
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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