The empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when I find
the z-scores that mark off the middle 95% of the standard normal distribution I calculate -1.96 and 1.96. Is this a contradiction? Why or why not? In other words why are the normal distribution calculators not agreeing with the empirical rule?
Because the empirical rule isn't exact. It's more of an approximation. To be more precise, 95.45%... View the full answer