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Four Friends College GPAs


Four friends graduated the same year from the same four-year college and wanted to compare their academic achievement as measured by their GPAs over time. They each located their transcripts and recorded their annual GPAs in the plot above. If a student is chosen at random, the probability that his/her first year GPA is greater than his/her median GPA is

Now suppose the friends wanted to compare their improvement over time. They each began with zero points. If their GPA improved from one year to the next, they added one point. If it declined, they subtracted one point. Then they added one point for every year their GPAs were above 3.0 and compared their final scores. Rick came out on top, and the average of all their scores was