How To Calculate Weighted Average?

Identify each item’s value and its weight

Compute each weighted contribution: value × weight

Sum all weighted contributions

Compute the sum of all weights

Divide total weighted contributions by total weights: (Σ value × weight) / (Σ weight)

If weights are already in percentages, convert to decimals or use the same formula with percentage weights (result unchanged if all weights sum to 100)

If weights sum to 1, the denominator is 1, so the weighted average is Σ value × weight

For frequencies (e.g., exam scores), use: (Σ score × frequency) / (Σ frequency)

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