Weighted Average Calculator
Calculate the weighted average by entering values and their corresponding weights.
Applications - Finance (portfolio average price), Statistics (weighted data average), Education (grade average with weights).
Decimal numbers - the calculator supports decimal numbers. Use comma or period as separator.
Bulk import - paste a space-separated list of values into the first field. The same applies for weights.
Result
Enter values and weights to see the result.Applications - Finance (portfolio average price), Statistics (weighted data average), Education (grade average with weights).
Decimal numbers - the calculator supports decimal numbers. Use comma or period as separator.
Bulk import - paste a space-separated list of values into the first field. The same applies for weights.
Weighted Average Formula
To calculate the weighted average manually, follow these steps:
In other words: multiply each value by its weight, sum all the products, then divide by the sum of all weights. For example, if you have values 80 and 90 with weights 2 and 3: (80×2 + 90×3) / (2+3) = (160 + 270) / 5 = 86.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying importance of different values in a dataset.
Unlike a simple arithmetic average where all values contribute equally, a weighted average assigns different levels of importance (weights) to each value. This makes it particularly useful when some data points should have more influence on the final result than others.
Common applications include calculating grade point averages (where different courses have different credit hours), investment portfolio returns (where different investments have different sizes), and statistical analysis where observations have varying reliability.
When to Use Weighted Average
Weighted averages are essential in many real-world scenarios:
- Academic Grades: When calculating your GPA, courses with more credit hours carry more weight. A 4-credit course affects your average more than a 1-credit course.
- Investment Returns: Portfolio performance is calculated as a weighted average of individual investment returns, where weights are the amount invested in each asset.
- Survey Analysis: Survey responses can be weighted to ensure the sample is representative of the target population, giving more importance to underrepresented groups.
Frequently Asked Questions About Weighted Average
- What is the difference between arithmetic and weighted average?
- Arithmetic average adds all values and divides by the count. Weighted average also considers the importance (weight) of each value - values with higher weights have more influence on the result.
- How to calculate weighted average in Excel?
- In Excel use the formula =SUMPRODUCT(values, weights)/SUM(weights). For example: =SUMPRODUCT(A1:A3, B1:B3)/SUM(B1:B3) calculates the weighted average of values in A1:A3 with weights in B1:B3.
- Does the sum of weights need to be 100%?
- No, weights can be any positive numbers (1, 2, 3 or 10%, 30%, 60%). The formula divides by the sum of weights, so the result is correct regardless of the scale used.
- When to use weighted average instead of arithmetic?
- Use weighted average when individual values have different importance or represent different sized groups. For example, when calculating grade averages with different subject weights.
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