Weighted Mean Calculator
The most powerful free weighted mean calculator. Compute the weighted arithmetic mean of any data set by assigning frequencies or importance weights to each value. See live interactive charts and step-by-step breakdowns.
Data Entry
Quick Presets
Computation Flow
LiveWeight Distribution
LiveValue Comparison
LiveResult Gauge
LiveWeighted Mean Calculator
Enter data values and their frequencies to compute the weighted arithmetic mean.
What Is a Weighted Mean ?
Understanding the Weighted Mean
A weighted mean multiplies each data value by a weight reflecting its importance or frequency. Unlike a simple mean that treats all values equally, the weighted mean gives more influence to higher-weighted values — making it essential when data points carry unequal significance.
Weighted Mean vs. Simple Mean
A simple mean adds all values and divides by count. A weighted mean multiplies each value by its weight, sums those products, then divides by total weight. When weights differ, the weighted mean gives a more accurate representation of your data.
Interactive Balance Beam
Drag SlidersHow to Use the Weighted Mean Calculator
Enter Your Data Values
Type each data point into the 'Value' column. These are the numerical observations, scores, or measurements you want to analyze.
Assign Frequencies or Weights
Enter the frequency or importance weight for each value. Higher weights give that value more influence on the final mean.
View the Weighted Mean
The calculator computes the weighted arithmetic mean instantly. See the result, sum of products, sum of weights, and interactive charts update in real time.
Weighted Mean Formula
The Weighted Mean Formula Explained
The weighted mean formula: multiply each value by its weight, sum those products, then divide by the total of all weights. Mathematically: x̄ = Σ(xᵢ × wᵢ) / Σ(wᵢ).
Try the Formula Live
Live Formula — Edit Values
InteractiveHow the Calculator Computes Weighted Mean Step by Step
Inside the Weighted Mean Calculator
Values
Weights
Step 1: List values and weights
Enter each data value alongside its frequency. For example: Midterm 85 (frequency 40), Final 72 (frequency 35), Quiz 95 (frequency 25).
Step 2: Multiply each value by its weight
85 × 40 = 3,400 · 72 × 35 = 2,520 · 95 × 25 = 2,375.
Step 3: Sum all the products
3,400 + 2,520 + 2,375 = 8,295.
Step 4: Sum all the weights
40 + 35 + 25 = 100.
Step 5: Divide to get the weighted mean
8,295 ÷ 100 = 82.95. The weighted mean is 82.95.
Common Weighted Mean Mistakes
Using simple average when frequencies differ
When data values appear with different frequencies, a simple average ignores how often each value occurs. Always use weighted mean for frequency data.
Dividing by count instead of total weight
Divide the sum of products by the sum of all weights — not by the number of distinct values.
Confusing values and weights
Values are the data points you're averaging; weights are their importance or frequency. Swapping them produces incorrect results.
Correct approach
Multiply each value by its weight. Sum all products. Sum all weights. Divide. This calculator automates the entire process.
Weighted Mean Examples
Exam Score Weighted Mean
A student's midterm, final, and quiz average are weighted differently. Compute the overall exam mean.
The weighted mean reflects the true composite score when exam components carry different weights.
Survey Response Weighted Mean
Three survey groups rated a product. Weight each rating by number of respondents.
More respondents give that rating group more influence — a simple average would treat 5 respondents and 500 equally.
Where Weighted Mean Is Used
Academic Assessment
Combine midterm, final, and quiz scores weighted by their point value to determine a student's true course performance.
Survey Analysis
Merge satisfaction ratings from multiple survey groups, weighting each group by its sample size for a representative overall score.
Scientific Research
Aggregate lab measurements across trials, weighting by number of observations to minimize impact of low-sample outliers.
Frequency Distributions
Compute the central tendency of grouped data by weighting each class midpoint by its frequency count.
Important Weighted Mean Notes
Weights must be positive. The calculator requires positive weights. A weight of zero excludes that data point entirely from the mean.
Equal weights = simple mean. When every data value has the same weight, the weighted mean equals the simple arithmetic mean.
Result is always between min and max values. No matter the weight distribution, the weighted mean will always fall between the smallest and largest values in your data set.
Larger weights pull the mean toward that value. The larger a weight relative to the total, the more the mean is pulled toward that value. This is the defining feature of weighted means.
Explore Our Calculator Tools
Fifteen purpose-built weighted average calculators — each tailored to a specific domain with unique inputs, outputs, and interactive visualizations.
Grade Calculator
Calculate your final grade using weighted assignments, exams, and projects.
GPA Calculator
Compute your grade point average across multiple courses.
Weighted Moving Average Calculator
Apply a weighted moving average to time-series data.
Finance Calculator
Portfolio returns, WACC, and investment-weighted metrics with real-time breakdowns.
Cost Calculator
Inventory valuation, unit costs, and supplier comparison with quantity weighting.
Payroll Calculator
Blended pay rates, overtime costs, and department salary analysis by headcount.
Time Calculator
Weighted durations, delivery estimates, and PERT scheduling by task frequency.
Statistics Calculator
Weighted mean, variance, standard deviation, and coefficient of variation analysis.
Mean Calculator
Compute the weighted arithmetic mean from data values with different frequencies or importance weights.
Score Calculator
Compute composite scores from weighted categories for rubrics, tests, and evaluations with letter grades.
Price Calculator
Calculate VWAP, average purchase price, and procurement costs weighted by quantity or volume.
Return Calculator
Compute true portfolio returns by weighting each asset's performance by its dollar allocation.
Rating Calculator
Combine ratings from multiple review sources weighted by review count or credibility.
Interest Calculator
Compute blended interest rates across loans, savings, and credit lines weighted by balance.
Profit Calculator
Analyze blended profit margins across products, services, and segments weighted by revenue.