Statistics and probability

Weighted mean

A mean in which values contribute in proportion to assigned weights.

Common notationx̄_w=Σwᵢxᵢ/Σwᵢ

In one sentence

What does Weighted mean mean?

A mean in which values contribute in proportion to assigned weights.

How it is written

x̄_w=Σwᵢxᵢ/Σwᵢ

A compact example

Scores 80 and 90 weighted 1 and 3 have weighted mean 87.5.

Other names and search terms

weighted average.

Where this fits

When should you learn Weighted mean?

The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.

  1. 1Pre-high schoolPrepare foundations
  2. 2High schoolUsually introduced
  3. 3CollegeGreater depth
  4. 4AdvancedGreater depth
Typical subjects
  • Statistics
  • Probability
Know first
  • Fractions
  • Percentages
  • Sets
What it unlocks
  • Distributions
  • Inference
  • Quantum probability

Clear answers

Questions about Weighted mean

What does Weighted mean mean in mathematics?

A mean in which values contribute in proportion to assigned weights.

How is Weighted mean written?

A common notation is x̄_w=Σwᵢxᵢ/Σwᵢ.

What is an example of Weighted mean?

Scores 80 and 90 weighted 1 and 3 have weighted mean 87.5.

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