The standard deviation falls under descriptive statistics and is the most frequently used measure of variability. It represents the average amount of variability in a set of scores. More simply put, it's the average amount of distance from the mean.
The purpose of standard deviation is so that we can understand how spread out a data set is. A high standard deviation implies that, on average, data points are all pretty far from the average and looks spread out. A low standard deviation means most points are very close to the average.
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References
Salkind, N. J. (2017). Statistics for people who (think they) hate statistics (6th ed.). Washington, DC: Sage Publications.