Paritian

Statistics

Weighted Average Calculator

Average a list of values where each one carries a different weight or coefficient.

Results

Weighted average 16.6667
Total 6
Count 3

What this tool does

A weighted average lets some values count more than others, which is how school grades, portfolio returns and quality scores are usually combined. Enter the values in one box and their weights in the other, in the same order; the weights do not need to add up to anything in particular.

Formula

x̄ = Σ(xᵢ × wᵢ) ÷ Σwᵢ

Variables

SymbolMeaningUnit
numbersNumbers (separated by comma, space or line)
weightsWeights (same order)
weighted_meanWeighted average
total_weightTotal
countCount

Worked example

  • Numbers (separated by comma, space or line)14, 16, 18
  • Weights (same order)1, 2, 3
  • Weighted average16.6667
  • Total6
  • Count3

Limitations

  • The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.