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Math

Weighted Average Calculator

Calculate the weighted mean from any list of values and weights

Enter Values & Weights

ValueWeight

A new row appears automatically as you type. Leave the last blank row empty.

Results

Weighted Average89weighted sum 1246 ÷ total weight 14
Weighted Average89
Weighted Sum1246
Total Weight14
Number of Items4

Breakdown

#ValueWeightWeight %ContributionBar
185321.43%18.21428571
290428.57%25.71428571
378214.29%11.14285714
495535.71%33.92857143

Contribution = (value × weight) ÷ total weight. The bar shows each item's share of the total weight.

How It Works

Formula
(v₁w₁ + v₂w₂ + … + vₙwₙ) ÷ (w₁ + w₂ + … + wₙ)
When to use it
When items have different levels of importance — like course grades with varying credit hours.
Weight meaning
Any positive number. Relative size matters, not absolute value — weights 1,2,3 behave identically to 10,20,30.
Vs. simple average
A simple average treats every value equally. A weighted average lets high-weight values pull the result further.
About

A weighted average calculator lets you find the weighted mean when values don't contribute equally. Whether you're calculating a GPA with different credit hours, a portfolio return with varying positions, or survey scores with different sample sizes, this tool computes the exact weighted average along with a full breakdown of each item's contribution and weight percentage.

FAQ
What is a weighted average?+

A weighted average assigns a numerical weight to each value before averaging. The formula is: sum of (value × weight) divided by the sum of all weights. Unlike a simple average, values with higher weights pull the result more strongly toward themselves.

How is a weighted average different from a regular average?+

A regular (arithmetic) average treats every value identically — it divides the total sum by the count of items. A weighted average lets each value have a different level of importance. For example, a course worth 4 credit hours matters more to your GPA than a 1-credit elective.

Do my weights need to add up to 100 or 1?+

No. Weights can be any non-negative numbers. Only their relative sizes matter — weights of 1, 2, 3 produce exactly the same result as 10, 20, 30. The calculator shows each weight as a percentage of the total so you can see the breakdown clearly.

Can I use this to calculate a weighted GPA?+

Yes. Enter your grade points (or percentage scores) as the values and your course credit hours as the weights. The resulting weighted average is your GPA-style score, giving higher-credit courses proportionally more influence on the final number.

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