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Estimating Standard Deviation From a Stem and Leaf Display

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If you had only one minute to estimate the standard deviation of a frequency distribution using only the information that can be obtained from a stem and leaf display, how would you do it and why?

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Solution Summary

This solution provides a detailed step-by-step explanation for how to quickly estimate the standard deviation of a frequency distribution using the information from a stem and leaf display. Three versions, ranging from extremely simple to somewhat complex (but more accurate), of the "range method" are explained, as well as the reasoning behind why it works. A reference to Hulburt's explanation of this method and an internet link are provided.

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A quick and easy way to approximate the standard deviation from a stem and leaf display is to base it on the range. First, the highest and lowest values are obtained from the stem and leaf display. Second, the range is computed by subtracting the lowest value from the highest value. Third, the range is divided by 4. ...

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