\fX = Student GPA Descriptive Statistics Mean 2.933866667 Standard Deviation 0.3847087006 X ~ N (mean, std dev) Empirical Rule Actual Data Mean - 1 sigma Mean + 1 sigma # of GPAs % of GPAs 68 % of data fall GPAs between [Mean - 1 sigma] between +/- 1 sigma and [Mean + 1 sigma] of mean 95% of data fall Mean - 2 sigma Mean + 2 sigma GPAs between [Mean - 2 sigma] between +/- 2 sigma and [Mean + 2 sigma] of mean 99.7% of data fall Mean - 3 sigma Mean + 3 sigma between +/- 3 sigma GPAs between [Mean - 3 sigma] of mean and [Mean + 3 sigma]