Which method of curving the gr

Curving Test Scores A professor gives a test and the scores are normally distributed with a mean of 60 and a standard deviation of 12. She plans to curve the scores. (Please help me solve part d).

a. If she curves by adding 15 to each grade, what is the new mean and standard deviation?

μ = 75
σ = 12

b. Is it fair to curve by adding 15 to each grade? Why or why not?

No, because the variation of the grade is not changed.

c. If the grades are curved so that grades of B are given to scores above the bottom 70% and below the top 10%, find the numerical limits for a grade of B.

The numerical limits for grades of B are between 66.2 and 75.4

d. Which method of curving the grades is fairer: adding 15 to each original score or using a scheme like the one given in part (c)? Explain.

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