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Standard Deviation Standard deviation has mathematical properties that make it the preferred measure of variability in many cases, particularly when a variable is normally distributed. 10 8 6 4 2 Std. Dev = 12.67 Mean = 75.0 N = 25.00 0 45.0 65.0 85.0 Scores A graph of a normal distribution looks like a bell, with one âhumpâ in the middle, centered around the population mean, and the number of cases tapering off on both sides of the mean.
