Converting CGPA/Grades to Total Marks and Marks Scored: A Comprehensive Guide
In the academic world, both CGPA (Cumulative Grade Point Average) and grades play a crucial role in measuring a student's performance. However, sometimes it becomes necessary to convert these academic scores into total marks to understand the overall performance better. This guide will walk you through the process of converting CGPA and grades into total marks and marks scored. We will also provide a detailed example to make the process clearer.
Step-by-Step Conversion Process
The process involves several steps, starting from understanding the grading scale and grade point system, determining the total number of credits, and calculating the total grade points earned. Here's a detailed breakdown:
1. Understand the Grading Scale and Grade Point System
The first step is to understand the grading scale and grade point system used by the educational institution. This typically involves a correspondence between letter grades (e.g., A, B, C) and numerical grade points (e.g., 4.0, 3.5, 3.0). For example:
A 4.0 grade points B 3.0 grade points C 2.0 grade points2. Determine the Total Number of Credits
Next, determine the total number of credits or credit hours associated with the courses taken. This information is typically available in the academic transcript or curriculum. In our example, the student has taken the following courses:
Course 1: 3 credits with a grade of A Course 2: 4 credits with a grade of B Course 3: 2 credits with a grade of C3. Calculate the Total Grade Points Earned
Calculate the total grade points earned by multiplying the credits for each course by the corresponding grade point value and then summing up the results. Using the example courses, the calculation would be as follows:
Course 1: 3 credits × 4.0 grade points 12 grade points Course 2: 4 credits × 3.0 grade points 12 grade points Course 3: 2 credits × 2.0 grade points 4 grade pointsThe total grade points earned would be:
12 12 4 28 grade points
4. Calculate the CGPA
The CGPA is calculated by dividing the total grade points earned by the total number of credits:
CGPA Total grade points earned / Total credits
In our example:
CGPA 28 / 9 3.11
5. Convert CGPA to Total Marks
To convert the CGPA to total marks, you need to know the maximum possible grade point value and the total marks. For example, if the maximum possible grade point value is 4.0 and the maximum total marks is 400, the conversion would be as follows:
Total marks CGPA × Maximum grade point value × Total credits
Total marks 3.11 × 4.0 × 9 111.96 (rounded to two decimal places)
6. Calculate the Marks Scored
Finally, to calculate the marks scored, use the formula:
Marks scored Total grade points earned / (Maximum possible grade points × Maximum total marks)
Marks scored 28 / (9 × 4.0 × 400) 311.11 (rounded to two decimal places)
Example Calculation
Let's put all these steps together in a practical example. Suppose the student's grades are as follows:
Course 1: 3 credits with a grade of A Course 2: 4 credits with a grade of B Course 3: 2 credits with a grade of CThe grading scale is as follows:
A 4.0 grade points B 3.0 grade points C 2.0 grade pointsStep 1: Calculate the Total Grade Points Earned
Course 1: 3 credits × 4.0 grade points 12 grade points Course 2: 4 credits × 3.0 grade points 12 grade points Course 3: 2 credits × 2.0 grade points 4 grade pointsTotal grade points earned: 12 12 4 28 grade points
Step 2: Calculate the Total Credits
Total credits: 3 4 2 9 credits
Step 3: Calculate the CGPA
CGPA Total grade points earned / Total credits
CGPA 28 / 9 3.11
Step 4: Convert CGPA to Total Marks
Assume the maximum possible grade point value is 4.0 and the maximum total marks is 400.
Total marks CGPA × Maximum grade point value × Total credits
Total marks 3.11 × 4.0 × 9 111.96 (rounded to two decimal places)
Step 5: Calculate the Marks Scored
Marks scored Total grade points earned / (Maximum possible grade points × Maximum total marks)
Marks scored 28 / (9 × 4.0 × 400) 311.11 (rounded to two decimal places)
In this example, the student's CGPA of 3.11 corresponds to a total of 111.96 marks, and the marks scored is 311.11 out of 400.
Conclusion
Converting CGPA and grades into total marks and marks scored is a straightforward process. By following the steps outlined in this guide, you can accurately determine a student's performance. Whether you're an educator, a student, or a parent, understanding this conversion can provide valuable insights into academic performance.