June 17, 2019

Why Do We Use Standard Deviation?

The standard deviation formula is very simple: it is the square root of the variance. It is the most commonly used measure of spread.

An important attribute of the standard deviation as a measure of spread is that if the mean and standard deviation of a normal distribution are known, it is possible to compute the percentile rank associated with any given score. In a normal distribution, about 68% of the scores are within one standard deviation of the mean and about 95% of the scores are within two standard deviations of the mean.

The standard deviation has proven to be an extremely useful measure of spread in part because it is mathematically tractable. Many formulas in inferential statistics use the standard deviation.

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about the author:

Mike Shorr

Since 1994, Michael has been an on-the-floor market maker, Vice-President of Interest Rate Derivatives for Knight Financial Products and Director of Education and Options Instructor at Trading Advantage. He makes the oftentimes complex world of options and trading accessible to the novice and advanced trader alike. Michael has a Bachelor of Science degree in Statistics and Finance from the University of Illinois Champaign-Urbana. He presently is Director, Trader Education at ProsperTradingAcademy.

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