Ams 310 Survey Of Probability And Statistics Worksheet - Midterm Exam I - Stony Brook University Page 2
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11(1). The following are the scores from the nal exam of a graduate course:
100, 95, 84, 62, 97, 82, 93, 32, 66, 78, 83, 85, 79, 82, 71, 89
(a). Find the mean, median, and standard deviation of the grade.
(b). Using the class interval (bin width) as 10, draw a Pareto chart and a dot-plot
for the grade.
(c). Identify students who are above the third quartile.
Solution:
(a). Sort the data in descending order:
32, 62, 66, 71, 78, 79, 82, 82, 83, 84, 85, 89, 93, 95, 97, 100
The median is 82.5, the third quartile is 91, mean is 80, variance is 218.
(c). The top ten percentile are 95,97, and 100.
(b).
Figure 1: Dotplot
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