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Weighted Average Calculator

Math Calculators

Values and weights to weighted mean with normalization

Quick Answer

Weighted Average Calculator: Values and weights to weighted mean with normalization. Weights are normalized automatically — they need not sum to 100.

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Weighted average

86

Arithmetic mean 85.3333 · weighted is HIGHER

Σ(x·w)8600
Σw100
Items3

Steps

  1. 1x1·w1 = 88 × 30 = 2640；x2·w2 = 76 × 30 = 2280；x3·w3 = 92 × 40 = 3680
  2. 2Σ(x·w) = 8600
  3. 3Σw = 30 + 30 + 40 = 100
  4. 4x̄ = Σ(x·w) ÷ Σw = 8600 ÷ 100 = 86

💡 Weights need NOT sum to 100 — the formula normalizes by Σw automatically. Common uses: course grades, stock average cost, GPA, survey scores. If all weights are equal, the weighted mean collapses to the arithmetic mean.

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How to Use

  1. Enter values or expressions: type directly into the Weighted Average Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Weighted Average Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Values and weights to weighted mean with normalization.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Weighted mean

x̄ = Σ(xᵢ·wᵢ) ÷ Σwᵢ

Weights are normalized automatically — they need not sum to 100
Equal weights reduce to the arithmetic mean
Uses: course grades, WACC, average share cost, composite scores

FAQ

How do I use the Weighted Average Calculator?
Open the page and fill in the input fields — results update automatically. Values and weights to weighted mean with normalization.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Weighted Average Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/weighted-average

Results provided by this tool are for reference only and do not constitute professional advice.