Assessment System Based on Weight and Percentile of Distribution

Assessment and grading methods are two important aspects in student evaluation. This paper proposes a method of assessing and grading using percentile of the distribution of examination scores. Assessment methods using the mean and the inverse of variance from the distribution in an examination as weights were discussed. In grading using percentile of the distribution of scores, percentiles can be determined by estimating the distribution of exam scores. Estimation and determination of percentile of the distribution of two distributions, namely normal and gamma distributions were used. Comparisons of results obtained under different scenarios were presented. The result showed that the weighted scoring method that gives weights based on the level of difficulty of the questions can be used to formulate a comprehensible grade distinction among students.