SOLUTION: Based on the empirical rules, what percent of the observations in a data set will lie beyond two standard deviations above the mean?

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Question 772839: Based on the empirical rules, what percent of the observations in a data set will lie beyond two standard deviations above the mean?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
According to the empirical rule, or the 68-95-99.7 rule, roughly 95% of the distribution is within 2 standard deviations of the mean.

So 100 - 95 = 5% of the distribution is further than 2 standard deviations of the mean. Cut this in half to get 5/2 = 2.5

So 2.5% of the data will lie beyond two standard deviations above the mean.