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Interpreting the variance and standard deviation: The distribution of grades in an introductory finance class is...

Interpreting the variance and standard deviation: The distribution of grades in an introductory finance class is normally distributed, with an expected grade of 75. If the standard deviation of grades is 7, in what range would you expect 95 percent of the grades to fall?

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Answer #1

The range of grades ( Mean - Z value at 95%* Standard Deviation, Mean + Z value at 95%* Standard Deviation)
= (75 - 1.96*7, 75 + 1.96*7) = (61.28,88.72)

Range lies between 61.28 and 88.72

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