Definitions
In plain terms
It lets observations contribute unequally while retaining the input's measurement unit.
Technical
The calculation requires aligned values and weights, declared sign rules, normalization, missing-pair policy, and a nonzero total weight.
Scope
A weighted mean does not specify where its weights come from.
Formula
Weighted mean = sum(w_i * x_i) / sum(w_i)\bar{x}_w=\frac{\sum_i w_i x_i}{\sum_i w_i}| Symbol | Meaning | Unit |
|---|---|---|
w_i | weight for observation i | weight |
x_i | observation i | input unit |
Output unit: input unit
Examples
- A governed lesson uses Weighted Mean only with declared inputs, timing, parameters, and edge-case behavior.
Common misconceptions
- A weighted mean does not specify where its weights come from.
Concept relationships
Where this concept is used
Evidence and governance
- Weighted Mean NIST · official standard
Supports: preferred label, short definition, technical definition, formula
Limits: The reference does not choose the newest-heavy linear weights used by one technical-analysis WMA convention.
- Reviewed by
- fintech-builder-batch-006
- Last reviewed
- 2026-07-27
- Next review
- 2027-07-27
- Record status
- evidence reviewed
This record is evidence-reviewed and readable, but not yet promoted to published — it is served noindex,follow and excluded from the sitemap.