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Empirical rule

Empirical rule

- [Instructor] As was discussed earlier in this course, the normal distribution, it pops up in all sorts of ways in nature. Heights, weights, test scores, blood pressure. In those types of circumstances, when we have those types of datasets, we often assume that the population is normally distributed, in which case, we would expect our data to follow the empirical rule. The empirical rule states that we should expect 68% of our data to be within one standard deviation of the mean, 95% of our data to be within two standard deviations of the mean, and 99.7% of our data to be within three standard deviations of the mean. So only 0.3% of data points are likely to be farther than three standard deviations from the mean. Again, I must remind you, this works when we have the well-centered, symmetrical, bell-shaped curve. Unfortunately, the empirical rule begins to lose value the farther our dataset strays from the classic normal distribution. But don't be too concerned. You'll be surprised…

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