Grade Computation (Base 0, Base 50, etc. )

SHSQC uses a base-30 grading system.
Equivalent grade = (raw score / total score)*70 + 30.
High standard in some ways and it could be better if the base is lower, so zero is to zero rather than zero is to thirty.


Most, if not all, grading systems are linear, i.e., it can be expressed in the form

y = m*x + b, where b is the base

m is the slope

x is the score between 0 to 100

and y is the corresponding grade

How are the parameters m and b computed? Since a line can be defined by at least two points, we can take two points according to the rule that we want to follow when computing the grade. For example, if we want to give a grade of zero (0) when the score is zero (0), then we can have one of the points as (0,0). Also, by assuming that we want to give a grade of 100 when the student gets a perfect score of 100, we can take (100,100) as the second point. This will result to the following system of linear equations:


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