Statistics and business analysis · Statistics

Weighted average of two groups

Combine two values using their stated nonnegative weights.

Published · R0

Method and scope

Weighted mean = (x₁w₁ + x₂w₂)/(w₁ + w₂).

Use weighted average of two groups for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs

Value 1 — 1
Weight 1 — 1
Value 2 — 1
Weight 2 — 1

SOURCE AND LIMITS

OpenStax Introductory Statistics 2e, §2.5 Measures of the Center of the Data; a mean is total value divided by total count and grouped means are count-weighted. ↗

Assumptions: The weights represent comparable counts, proportions, or importance weights.

Limitations: A weighted mean can conceal group distribution and outliers.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.

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Statistics and data analysis Mathematics and arithmetic Business operations, pricing, and unit economics Education, assessment, and learning

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Weighted average of two groups

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Weighted average of two groups

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