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Contrary to popular belief, the grade is actually not curved. Rather, it is scaled. This means that graders use a chart to determine scaled scores rather than implement a curved line graph. Sometimes the scale works toward your favor, making your scaled score higher than your raw score, and sometimes it does not, making your scaled score lower than your raw score. The scale mostly depends on the difficulty of the exam and the expected results of those whom are planning to take it. A scaled score of 85+ is the "mastery level" and the 65+ range is "passing".
z score = (test score - mean score)/SD z score = (87-81.1)/11.06z score = 5.9/11.06z score = .533You can use a z-score chart to calculate the probability from there.