Weighted Average Calculator - GPA & Grade Calculator 2025

Free weighted average calculator. Calculate weighted means, GPA, grade point averages, and portfolio returns. Add unlimited values with custom weights and see contribution breakdown.

Quick Answer

Weighted average gives more importance to some values than others based on their weights. Formula: Weighted Average = Sum(value x weight) / Sum(weights). For example, if Test 1 (weight 30%) = 85 and Test 2 (weight 70%) = 90, weighted average = (85 x 0.30 + 90 x 0.70) / (0.30 + 0.70) = (25.5 + 63) / 1 = 88.5. Used for GPA calculation, portfolio returns, and grade averaging.

Key Facts

  • Formula: Weighted Average = Sum(value x weight) / Sum(weights)
  • Each value contributes proportionally to its weight
  • Weights can be percentages, credits, or any consistent unit
  • Sum of percentage weights should equal 100%
  • GPA uses credit hours as weights
  • Portfolio returns use investment amounts as weights
  • Simple average is weighted average with equal weights
  • Contribution = (value x weight) / sum of weights

Common Use Cases

GPA Calculation

Calculate your Grade Point Average by weighting course grades by credit hours.

Example: Calculus (A, 4 credits) + History (B, 3 credits) = (4.0 x 4 + 3.0 x 3) / 7 = 3.57 GPA

Course Grade Calculation

Calculate final course grade with different weight categories.

Example: Exams 50% (85) + Homework 30% (90) + Participation 20% (95) = 88.5

Portfolio Return

Calculate overall portfolio return weighted by investment amounts.

Example: Stock A ($10k, 8%) + Stock B ($5k, 12%) = 9.33% portfolio return

Survey Analysis

Calculate weighted survey scores based on response counts.

Example: Rating 5 (100 responses) + Rating 4 (50 responses) = 4.67 average rating

Frequently Asked Questions

Frequently Asked Questions

Multiply each value by its weight, sum all the products together, then divide by the sum of all weights. Formula: Weighted Average = Sum(value x weight) / Sum(weights). This gives values with higher weights more influence on the result.
GPA is a weighted average where each course grade (A=4.0, B=3.0, C=2.0, D=1.0, F=0) is weighted by its credit hours. Multiply grade points by credits for each course, sum them up, then divide by total credits. For example: A (4.0) x 3 credits + B (3.0) x 4 credits = 12 + 12 = 24. Total credits = 7. GPA = 24/7 = 3.43.
A simple average treats all values equally (sum of values divided by count). A weighted average multiplies each value by its importance (weight) before averaging. For example, if your final exam is worth 50% and homework 10%, the weighted average reflects this importance, while a simple average would treat them equally.
Portfolio return is the weighted average of individual asset returns, weighted by investment amount. Multiply each asset return by its value, sum them, then divide by total portfolio value. If Stock A ($10,000) returns 8% and Stock B ($5,000) returns 12%, weighted return = (10000 x 0.08 + 5000 x 0.12) / 15000 = 9.33%.
No, weights can be any consistent unit (percentages, credits, dollars, etc.). The formula automatically normalizes them by dividing by the sum of weights. However, if using percentages, having them sum to 100% makes interpretation easier.
Weighted Avg84.90
Simple Avg84.33