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Bell Curve Grading

Bell Curve Grading

22 September, 2016

In education, bell curve grading is a method of assigning grades intended to yield a desired distribution of grades among the students in a class.

Strictly speaking, grading “on a bell curve” refers to the assigning of grades according to the frequency distribution known as the Normal distribution (also called the Gaussian distribution), whose graphical representation is referred to as the Normal curve or the bell curve. Because bell curve grading assigns grades to students based on their relative performance in comparison to classmates’ performance, the term “bell curve grading” came, by extension, to be more loosely applied to any method of assigning grades that makes use of comparison between students’ performances, though this type of grading does not essentially actually make use of any frequency distribution such as the bell-shaped Normal distribution.

In true use of bell curve grading, students’ scores are scaled according to the frequency distribution represented by the Normal curve. The instructor can choose what grade occupies the center of the distribution. This is the grade an average score will earn, and will be the most common. Traditionally, in the ABCDF system this is the ‘C’ grade. The instructor can also decide what portion of the frequency distribution each grade occupies and whether or not high and low grades are symmetrically assigned area under the curve (i.e. if the top 15% of students earn an ‘A,’ do the bottom 15% fail or might only the bottom 5% fail?). In a system of pure curve grading, the number of students who will receive each grade is already determined at the beginning of a course.

Other forms of “curved” grading vary, but one of the most common is to combine to all students’ absolute scores the difference between the top student’s score and the maximum possible score. For example, if the top score on an exam is 55 out of 60, all students’ absolute scores (meaning they have not been adjusted relative to other students’ scores in any way) will be increased by 5 before being compared to a pre-determined set of grading benchmarks (for example the common A>90%>B>80% etc. system). This method avoids unusually hard assignments (usually exams) from unfairly reducing students’ grades but relies on the assumption that the top student’s performance is a good measure of an assignment’s difficulty.

In the U.S., strict bell-curve grading is rare at the primary and secondary school levels (elementary to high school) but is common at the university level.

Benefits and Drawbacks

Viewed practically, curved grading is useful because it automatically factors in the difficulty a group of test-takers had with a test. If the majority of students have high (or low) scores then the middling grade will be adjusted there and higher or lower grades awarded based on this performance. In addition, the curve ameliorates the problem of deciding grades that fall very near a grade margin. Clustering of marks establish where the margin should be placed.

However, grading in this way is basically normative; scores are referenced to the performance of group members. There must always be at least one student who has a lower score than all others, even if that score is quite high when evaluated against specific performance criteria or standards. Conversely, if all students perform poorly relative to a larger population, even the highest graded students may not succeed to meet standards. Thus, curved grading makes it hard to compare groups of students to one another.