Question: Problem 3. Two professors teach the same course and their students have the same mean score (85) and same median score (85). Grades for each

Problem 3.

Two professors teach the same course and their students have the same mean score (85) and same median score (85). Grades for each professor are listed below.

Professor X: 91, 91, 82, 80, 77, 80, 93, 92, 87, 76, 86, 80, 80, 95, 85

Professor Y: 99, 83, 68, 96, 93, 75, 78, 65, 85, 96, 99, 69, 96, 98, 100, 69, 81, 99, 66 a)

A. Draw a boxplotSheets.

B. Calculate, by hand or with a software, the Mean Absolute Deviation (MAD) of each grade distribution and use this information to determine which professor's grades have a larger variability.

C. Discuss whose course would you rather be in and why.

D. Suppose Professor X changes the grade of the student who had a course grade of 77. The new grade is 84. How does this affect the median score? How does it affect the mean score? For each question, specify whether it increases, decreases stays the same without doing any calculations. Briefly explain how you know.

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