Compute weighted averages instantly. Enter values and weights, see live charts update in real time. The interactive computation flow diagram below visually shows how values × weights → sum → divide → result.
A weighted average (also called weighted mean) is an average where each data value gets multiplied by a weight before the sum is divided. The weight reflects how much importance that value carries relative to others.
A simple average adds all numbers together and divides by the count. Every value has equal influence. A weighted average multiplies each value by its weight first, then divides by the total weight.
Type each data value into the 'Value' column. These are the numbers you want to average — exam grades, investment returns, survey ratings, or any measurement.
Enter the weight for each value in the 'Weight' column. Weights tell the calculator how much importance each value carries. For grades, weights are credit hours.
The weighted average calculator computes results instantly. You'll see the weighted mean, sum of products, sum of weights, and all charts update in real time.
In words: multiply each data value by its weight, add up all those products, then divide that sum by the sum of all weights. The result is the weighted average.
Write each data value next to its weight. In this grade calculator example, math scores 85 (4 credits), science scores 92 (3 credits), and English scores 78 (2 credits).
Compute the product of each value and weight pair. Math (85 × 4 = 340) gets a larger product because it has more credits.
340 + 276 + 156 = 772. This is the numerator in the weighted average formula.
Sum the weights: 4 + 3 + 2 = 9. This is the denominator.
772 ÷ 9 = 85.78. Notice it's closer to 85 (Math) because Math has 4 credits while English has only 2.
Adding values and weights separately, then dividing — without multiplying each value by its weight first — gives you a basic average, not a weighted one.
Dividing by the number of items instead of the sum of weights turns your weighted average into a simple unweighted average.
Swapping which number is the value and which is the weight produces a wrong result. The value is what you're measuring. The weight is how much it counts.
Multiply each value by its weight. Sum those products. Sum the weights. Divide the first sum by the second. That's the weighted average formula done right.
A student has three courses. Edit the grades and credits below to see the weighted average update instantly.
The average grade is closer to Math's 90 because Math has the most credits (weight = 4). Art's 95 has minimal impact with only 1 credit.
An investor has three assets. Edit the returns and allocations to see the portfolio's weighted average return.
The portfolio return is 9.10%, not 8.33% (simple average). Stocks dominate because they have the largest allocation ($50,000).
Schools use weighted averages to compute GPA. Each course grade is multiplied by its credit hours.
Portfolio managers calculate weighted average returns where the weight is each investment's capital allocation.
Businesses use weighted average cost to value inventory when goods are purchased at different prices.
Survey analysis uses weighted averages when responses from different groups carry different significance.
Weights must be positive. A weight of zero means the value is completely ignored. Negative weights are rarely used and usually disrupt standard calculations.
Equal weights = simple average. If every value has a weight of 1, the math simplifies to exactly the same equation as a standard average.
The result always falls between your min and max data values. A weighted mean can never drop below the lowest value in your dataset, nor exceed the highest value, regardless of the weights.
Weighted averages favor high-weight values. The larger the weight relative to others, the closer the final weighted average will be to that specific value.
Fifteen purpose-built weighted average calculators — each tailored to a specific domain with unique inputs, outputs, and interactive visualizations.
Calculate your final grade using weighted assignments, exams, and projects.
Compute your grade point average across multiple courses.
Apply a weighted moving average to time-series data.
Portfolio returns, WACC, and investment-weighted metrics with real-time breakdowns.
Inventory valuation, unit costs, and supplier comparison with quantity weighting.
Blended pay rates, overtime costs, and department salary analysis by headcount.
Weighted durations, delivery estimates, and PERT scheduling by task frequency.
Weighted mean, variance, standard deviation, and coefficient of variation analysis.
Compute the weighted arithmetic mean from data values with different frequencies or importance weights.
Compute composite scores from weighted categories for rubrics, tests, and evaluations with letter grades.
Calculate VWAP, average purchase price, and procurement costs weighted by quantity or volume.
Compute true portfolio returns by weighting each asset's performance by its dollar allocation.
Combine ratings from multiple review sources weighted by review count or credibility.
Compute blended interest rates across loans, savings, and credit lines weighted by balance.
Analyze blended profit margins across products, services, and segments weighted by revenue.
A typical average treats every number the same. A weighted average assigns importance to each number. When data values carry different levels of significance — like credit hours in a GPA calculation or dollar amounts in a portfolio — a simple average misrepresents the result. The weighted average fixes this by factoring in how much each value should count.
First, multiply each data value by its assigned weight. Second, add all of those products together. Third, add all the weights together. Finally, divide the sum of the products by the sum of the weights.
No. A simple average (or mean) adds all values and divides by the number of values, treating each equally. A weighted average treats values differently based on their weight or importance.
Yes, it is the standard method for calculating GPA and final grades in most educational systems, where different assignments or courses are worth different amounts (e.g., a final exam is worth 40% while homework is 10%).
Yes, when different components have varying degrees of importance, the weighted average is significantly more accurate than a simple average for representing the true overall value or performance.