So, consider that are three tests a student has taken. The overall score is 100 points. The test has three sections. Section 1 - 30 points Section 2 - 30 points Section 4 - 40 points
Student scores Section 1 - 20 points Section 2 - 20 points Section 3 - 30 points
If I want to convert each section-wise score to a value out of 100, the average sum of converted values should still equal the sum of original scores. This was done using cross multiplication.
Section 1 - (student score X 100)/section score, i.e., 2000/30 = 66.667 Section 2 - 66.667 Section 3 - 75 Average = 69.4
Sum of Original Scores : 20+20+30 = 70
The average sum of conversions seems to differ by a small margin, and it varies all the time. This seems simple, but can anyone suggest a different formula other than cross multiplication? or do I need to add some corrections/factors?
Thanks