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Mr. Glenn, Math and Stat Expert
Category: Calculus and Above
Satisfied Customers: 680
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: 11 months ago.
Category: Calculus and Above
Expert:  Mr. Glenn replied 11 months ago.

Expert:  Mr. Glenn replied 11 months ago.

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
.
so
.

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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