Characteristics of Grading Models by

Many questions have arisen concerning grading systems. From a review of the current literature, it is apparent that very little mathematical analysis has been completed in this area. Since the grading process as most often used is a mathematical process, it seems desirable to examine grading systems from the mathematical point of view. In this paper the familiar five-letter grading system is modeled mathematically. Variance of the grade point average is used as the measure of effectiveness. The grading system and its parameters are defined and the effect of variation in the parameters of the student performance distribution is observed. The effect of having multiple graders in a grading system is also modeled as is the effect of changing the number of grading categories in a grading system