I am a new instructor teaching a large class of about 80 students. In a recent test (which I set to be an easy one), the class average is around 88 and a lot students (about 30%) got full marks but the minimum score is 15. I am trying to grade in the most fair way possible but having hard trouble doing it since I can not bump up the score for the ones who fared poorly, the highest score being the total score and the median being around 90.

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