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.
Enter data values and their frequencies to compute the weighted arithmetic 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.
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.
Type each data point into the 'Value' column. These are the numerical observations, scores, or measurements you want to analyze.
Enter the frequency or importance weight for each value. Higher weights give that value more influence on the final 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.
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).
Enter each data value alongside its frequency. For example: Midterm 85 (frequency 40), Final 72 (frequency 35), Quiz 95 (frequency 25).
85 × 40 = 3,400 · 72 × 35 = 2,520 · 95 × 25 = 2,375.
3,400 + 2,520 + 2,375 = 8,295.
40 + 35 + 25 = 100.
8,295 ÷ 100 = 82.95. The weighted mean is 82.95.
When data values appear with different frequencies, a simple average ignores how often each value occurs. Always use weighted mean for frequency data.
Divide the sum of products by the sum of all weights — not by the number of distinct values.
Values are the data points you're averaging; weights are their importance or frequency. Swapping them produces incorrect results.
Multiply each value by its weight. Sum all products. Sum all weights. Divide. This calculator automates the entire process.
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.
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.
Combine midterm, final, and quiz scores weighted by their point value to determine a student's true course performance.
Merge satisfaction ratings from multiple survey groups, weighting each group by its sample size for a representative overall score.
Aggregate lab measurements across trials, weighting by number of observations to minimize impact of low-sample outliers.
Compute the central tendency of grouped data by weighting each class midpoint by its frequency count.
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.
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