SGPA stands for Semester Grade Point Average. It is a number, usually on a 10-point scale, that shows a student's overall performance in a single semester. SGPA is calculated by taking the grade points earned in each subject, weighting them by the number of credits of that subject, adding them up, and dividing by the total number of credits in that semester. In short, SGPA gives more importance to subjects that carry more credits. This guide explains the SGPA formula, the step-by-step method, a solved example, and how SGPA differs from CGPA.
SGPA stands for Semester Grade Point Average.
Formula: SGPA = Σ(Ci × Gi) / Σ Ci, where Ci = credits and Gi = grade point.
It is a credit-weighted average — high-credit subjects affect SGPA more.
SGPA is for one semester; CGPA is cumulative across all semesters.
A credit point for a subject = its credits × its grade point.
SGPA is usually expressed on a 10-point scale.
When semesters have equal credits, CGPA = average of all SGPAs.
The formula to calculate SGPA is:
SGPA = Σ (Ci × Gi) / Σ Ci
Where: • Ci = number of credits of the i-th subject • Gi = grade point obtained in the i-th subject • Σ (Ci × Gi) = sum of (credit × grade point) for all subjects • Σ Ci = sum of all credits in the semester
In words: SGPA = (Total of credit points of all subjects) ÷ (Total credits of all subjects)
Here a 'credit point' for a subject = credits of the subject × grade point of the subject.
Step 1: Write down the credits (Ci) of each subject in the semester. Step 2: Write down the grade point (Gi) you obtained in each subject (for example, on a 10-point scale). Step 3: Multiply the credits by the grade point for each subject to get the credit points (Ci × Gi). Step 4: Add up all the credit points → Σ(Ci × Gi). Step 5: Add up all the credits → Σ Ci. Step 6: Divide the total credit points by the total credits: SGPA = Σ(Ci × Gi) / Σ Ci.
The answer is your SGPA for that semester, usually rounded to two decimal places.
Suppose a student has 5 subjects in a semester with the following credits and grade points:
Subject 1: Credits = 4, Grade Point = 9 → 4 × 9 = 36 Subject 2: Credits = 4, Grade Point = 8 → 4 × 8 = 32 Subject 3: Credits = 3, Grade Point = 7 → 3 × 7 = 21 Subject 4: Credits = 3, Grade Point = 9 → 3 × 9 = 27 Subject 5: Credits = 2, Grade Point = 6 → 2 × 6 = 12
Step 1 — Total credit points = 36 + 32 + 21 + 27 + 12 = 128 Step 2 — Total credits = 4 + 4 + 3 + 3 + 2 = 16 Step 3 — SGPA = 128 ÷ 16 = 8.0
So the student's SGPA for the semester is 8.0.
SGPA (Semester Grade Point Average): • Calculated for one semester only. • Uses the credits and grade points of the subjects in that single semester.
CGPA (Cumulative Grade Point Average): • Calculated across all the semesters completed so far. • It is the average of the SGPAs of all semesters (often weighted by the credits of each semester).
Simple relation (when each semester has the same total credits): CGPA = (SGPA1 + SGPA2 + ... + SGPAn) / n
Many universities also let you convert CGPA to a percentage using a formula such as Percentage = CGPA × 9.5 (the exact multiplier depends on the university).
SGPA = Σ(Ci × Gi) / Σ Ci, where Ci is the number of credits of a subject and Gi is the grade point obtained in that subject. You multiply each subject's credits by its grade point, add all these credit points, and divide by the total number of credits in the semester.
First multiply each subject's credits by its grade point to get credit points. Then add up all the credit points and add up all the credits. Finally, divide the total credit points by the total credits. For example, if total credit points = 128 and total credits = 16, then SGPA = 128 ÷ 16 = 8.0.
SGPA (Semester Grade Point Average) is calculated for a single semester using that semester's subjects. CGPA (Cumulative Grade Point Average) is calculated over all semesters completed so far — essentially the average of the SGPAs of all semesters, often weighted by credits.
SGPA stands for Semester Grade Point Average. It is a credit-weighted average of the grade points a student earns in all the subjects of one semester, usually expressed on a 10-point scale.
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