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Suppose the scores of students on an exam are normally distributed with a mean of 244 and a standard deviation of 79. According to the empirical rule, what percentage of students scored between 165 and 323 on the exam?

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244 - 165 = 79 . . . . one standard deviation
323 - 244 = 79 . . . . one standard deviation

The range of scores is ±1 standard deviation from the mean. The empirical rule says
68% of scores lie in that range.
User Andrew Keller
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