1. Suppose the professor gives an exam to a class of 40 students and the exam scores are as follows:

35 44 46 47 47 48 49 51 53 54

55 55 57 57 57 58 59 59 59 59

60 60 60 60 60 62 62 62 64 68

69 70 72 73 73 75 75 77 82 88

1. Find each of the following to the nearest hundredth:

Mean

Median

Standard deviation:

Z score for a student who originally scored 54 on the exam. (Nearest hundredth)

make a histogram of the scores and comment on the shape of the distribution.

1. Suppose the professor decides to adjust scores by adding 25 points to each student's score.
2. Find each of the following to the nearest hundredth:

Mean

Median

Standard deviation

Z score for a student who originally scored 54 on the exam. (Nearest hundredth)

make a histogram of the adjusted scores and compare it to the histogram created in #1.

1. Suppose the professor wants the final scores to have a mean of 75 and a standard deviation of 8.
2. To find a student's new score, first calculate their z-score and then use the z-scores along with the new mean and standard deviation to find their adjusted scores. You can use StatCrunch or Excel, if you wish.

make a histogram of the adjusted scores and compare it to the histogram created in #1.

1. Suppose the professor wants the scores to be curved in a way that results in the following:

Top 10% of scores receive an A

Bottom 10% of scores receive an F

Scores between the 70^th and 90^th percentile receive a B

Scores between the 30^th and 70^th percentile receive a C

Scores between the 10^th and 30^th percentile receive a D

Find the range of scores that would qualify for each grade under this plan to the nearest hundredth.

Exam Scores	Letter Grade
	A
	B
	C
	D
	F

1. Which of the 3 curving schemes seems the most fair to you? Explain your answer.