1. Suppose a professor gives an exam to a class of 40 students and the scores are as follows. (Type the data set in StatCrunch.) 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 a. Find each of the following: i. Mean: ii. Median: iii. Standard deviation: iv. Z-score for a student who originally scored 54 on the exam: b. Create a histogram of the scores and comment on the shape of the distribution. (Use a separate page if necessary.)
1. Suppose a professor gives an exam to a class of 40 students and the scores are as follows. (Type the data set in StatCrunch.)
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
a. Find each of the following:
i. Mean:
ii.
iii. Standard deviation:
iv. Z-score for a student who originally scored 54 on the exam:
b. Create a histogram of the scores and comment on the shape of the distribution. (Use a separate page if necessary.)
2. 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 70th and 90th percentile receive a B
Scores between the 30th and 70th percentile receive a C
Scores between the 10th and 30th percentile receive a D
Find the
(Assume all scores are
deviation of 10.96.)
Exam Scores
Letter Grade
A
B
C
D
F
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