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Mr. Glenn
Mr. Glenn, Math and Stat Expert
Category: Calculus and Above
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Experience:  Math Professor for at least 15 yrs
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The distribution of grades in an introductory finance class

Customer Question

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% of the grades to fall?
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Submitted: 4 months ago.
Category: Calculus and Above
Expert:  Mr. Glenn replied 4 months ago.

Hi Thank you for using this site. When do you need the answer? Please reply asap.

Expert:  Mr. Glenn replied 4 months ago.

Here is the answer:

solution: Note: if the question being asked is the range from the mean,

raw scores = mean +/- z score(sd)
= 75 +/- 7(1.96)
= 61.28 to 88.72

95% of the grades will fall from 61.28 to 88.72

(note: but if the question being asked is what is the highest score so that 95% of the distribution is (equal to or ) lower than that score, then the correct answer is 86.5143)

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