📊 Weighted Average Calculator
Calculate weighted averages with ease for grades, investments, and statistical analysis
A weighted average gives different importance to different values in your dataset. Perfect for calculating GPA, portfolio returns, or any scenario where data points have varying significance.
Input Values and Weights
Quick Examples:
Results
Weighted Average:
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Simple Average:
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Difference:
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Total Weight
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Data Points
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Formula:
Weighted Average = Σ(value × weight) / Σ(weight)
Step-by-step Calculation:
Contribution Analysis:
Frequently Asked Questions
A weighted average is a calculation that takes into account the relative importance of each value in a dataset. Unlike a simple average where all values are treated equally, a weighted average assigns different weights to different values based on their significance.
To calculate a weighted average: 1) Multiply each value by its corresponding weight, 2) Sum all the weighted values, 3) Sum all the weights, 4) Divide the sum of weighted values by the sum of weights.
A simple average treats all values equally, while a weighted average gives more importance to certain values based on their assigned weights. This makes weighted averages more accurate when dealing with data of varying importance.
Use weighted averages for: calculating GPA (where courses have different credit hours), portfolio returns (where investments have different amounts), survey results (where responses have different sample sizes), or any scenario where data points have varying importance.
Yes, weights can be decimals, fractions, or percentages. The calculator will handle any positive numerical weight. The key is that weights represent the relative importance of each value.
Weights don't need to add up to 100% or any specific number. The weighted average formula automatically adjusts by dividing by the total sum of weights, so relative proportions are what matter.
Our calculator uses high-precision arithmetic and displays results to 4 decimal places. The calculations are mathematically accurate for practical purposes in academic, business, and statistical applications.
Yes, the calculator automatically saves your input data locally in your browser for 30 days. You can also copy the results or use the reset button to clear all data and start fresh.
Disclaimer
This calculator is provided for educational and informational purposes only. The accuracy of calculations depends on the correctness of input data. For important academic, business, or financial decisions, please consult with relevant professionals and verify the calculations independently.