Skip to content
Math Calculators

Weighted Sum Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Weighted sum

110.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Weighted Sum Calculator

The Weighted Sum Calculator works out your weighted sum in an instant. Enter value 1, weight 1 and value 2 and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the value 1.
  2. Enter the weight 1.
  3. Enter the value 2.
  4. Enter the weight 2.
  5. Enter the value 3.
  6. Enter the weight 3.
  7. Read off your weighted sum — the calculator updates automatically, with no button to press.

Formula

The Weighted Sum Calculator uses the formula:

Weighted sum = Value 1 × Weight 1 + Value 2 × Weight 2 + Value 3 × Weight 3

Worked example

For example, with value 1 of 10, weight 1 of 2, value 2 of 20 and weight 2 of 3 and the other inputs, the weighted sum is 110.0000.

Inputs used
Value 1 10
Weight 1 2
Value 2 20
Weight 2 3
Value 3 30
Weight 3 1
Results
Weighted sum 110.0000

Results are estimates for educational use, not professional advice.

Frequently asked questions

Multiply each value by its weight and add the results. 10×2 + 20×3 + 30×1 is 110.

A weighted sum stops at the total; a weighted average then divides by the total weight.

Scoring systems, dot products and cost totals where items count by different amounts.

Yes. Negative weights subtract that value's contribution from the sum.

Enter the value 1. Enter the weight 1. Enter the value 2. Enter the weight 2. Enter the value 3. Enter the weight 3. Read off your weighted sum — the calculator updates automatically, with no button to press.

Related calculators