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# 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?

#### Top Answer

Because the empirical rule isn't exact. It's more of an approximation. To be more precise, 95.45%... View the full answer

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