Add your individual semester SGPA scores and credit weights to calculate your final cumulative CGPA.
| Sem | SGPA | Credits | Action |
|---|
Your **Cumulative Grade Point Average (CGPA)** represents your overall academic standing across all semesters completed so far. While each semester yields an independent **Semester Grade Point Average (SGPA)**, your final graduation certificate lists your cumulative average. Since semesters often carry different course loads (credit weights), a simple average of your SGPAs will not yield your true CGPA.
Under this standard, semesters carrying a larger share of course load or lab modules exert more influence on your final scores. You multiply each semester's SGPA by its total credit allocation, sum these points together, and divide by the overall credits completed: CGPA = Sum(SGPA * Semester Credits) / Sum(Total Credits).
If all semesters in your curriculum share the exact same number of credits (e.g., exactly 24 credits per semester), you can compute your overall CGPA by adding all semester SGPAs together and dividing by the total number of semesters: CGPA = Sum of SGPAs / Semesters Completed.
Let's calculate the cumulative grade average of a student who completed three semesters:
8.20 * 22 = 180.40 grade points7.50 * 24 = 180.00 grade points8.80 * 20 = 176.00 grade points
Now, aggregate the values:
Total Grade Points Earned = 180.40 + 180.00 + 176.00 = 536.40
Total Credits Attempted = 22 + 24 + 20 = 66
Weighted Cumulative CGPA = 536.40 / 66 = 8.13
No. Mathematically, the cumulative CGPA is a weighted average and must fall strictly within the range bounded by your lowest semester SGPA and your highest semester SGPA.
Yes, semesters with failed courses must be included in your cumulative CGPA calculations. The credits associated with failed courses are counted under total credit units, but they contribute 0 points to the numerator. This will lower your overall cumulative CGPA until you clear the backlogs and update the grades.
A simple average assumes every semester has equal weight. In reality, semesters with heavier course loads (more subjects or laboratory credits) have a larger impact on your final cumulative standing. The credit-weighted method guarantees that your overall grade average is mathematically sound.
Once you average your semester SGPAs into a CGPA, you can apply your university's standard percentage multiplier (such as 9.5 for UGC/CBSE courses, or the AICTE offset formula) to calculate your aggregate percentage score.