Weighted Average Formula

The Formula

\bar{x}_w = \frac{\sum w_i x_i}{\sum w_i}

When to use: Your final grade: exams count 60%, homework 40% โ€” not every assignment counts equally.

Quick Example

Scores 80 (weight 0.4) and 90 (weight 0.6): weighted average = 80ร—0.4 + 90ร—0.6 = 86.

What This Formula Means

An average in which different values contribute unequally based on their assigned weights.

Your final grade: exams count 60%, homework 40% โ€” not every assignment counts equally.

Why This Formula Matters

Used in GPA calculation, financial analysis, polling, and any situation where data points differ in importance.

Frequently Asked Questions

What is the Weighted Average formula?

An average in which different values contribute unequally based on their assigned weights.

How do you use the Weighted Average formula?

Your final grade: exams count 60%, homework 40% โ€” not every assignment counts equally.

Why is the Weighted Average formula important in Statistics?

Used in GPA calculation, financial analysis, polling, and any situation where data points differ in importance.

What do students get wrong about Weighted Average?

Weights don't have to be percentages โ€” any positive numbers work as long as you divide by their sum.

What should I learn before the Weighted Average formula?

Before studying the Weighted Average formula, you should understand: mean fair share, stat expected value.