When to use it

Use it when groups contribute different volumes or exposures.

When to be cautious

An average of percentages need not equal the overall percentage; percentage points differ from percentage change.

Apply it

Weighted mean = Σ(weight × value) / Σ weights

Use nonnegative weights with a positive sum. Percentage change is (new − old)/old × 100% when old is nonzero; a change between percentages is measured in percentage points.

  1. Identify the numerator, denominator and unit of every input.
  2. Choose weights that reflect the population or decision.
  3. Check whether aggregation hides important subgroup differences.

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An example in practice

Combine completion counts across teams using their eligible workloads, rather than taking an unweighted average of team completion rates.

Source & credit

Standard mathematical statistics; the handbook is an authoritative technical reference, not a claim of sole origin.

NIST/SEMATECH: statistical methods

This explanation and example are independently written. The source is a reading reference; linking it does not grant permission to reuse its text, figures or assessments.

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