statistics descriptive

Weighted, Geometric & Harmonic Average Calculator

Advanced statistical average calculator. Computes weighted averages with custom weights $w_i$, and Pythagorean means (Geometric for rates, Harmonic for speeds).

Input Parameters

Value 1 (x₁)

Weight 1 (w₁ %)

Value 2 (x₂)

Weight 2 (w₂ %)

Value 3 (x₃)

Weight 3 (w₃ %)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Weighted Average = ∑(w_i * x_i) / ∑w_i. Geometric Mean = (x1 * x2 * x3)^(1/3).

In-Depth Guide & Mathematical Methodology

🧮 Types of Averages & Applications

Weighted Average: Used in school grades, financial portfolios, and CPI calculations where items have different importance.

Geometric Mean: Used for growth rates, compound interest, and financial yields.

Harmonic Mean: Used for average speed, ratios, and rates.

Frequently Asked Questions (FAQ)

What is the Weighted, Geometric & Harmonic Average Calculator and how does it work?

Advanced statistical average calculator. Computes weighted averages with custom weights $w_i$, and Pythagorean means (Geometric for rates, Harmonic for speeds).

How do I use this Weighted, Geometric & Harmonic Average Calculator?

Enter up to 3 numeric values ($x_1, x_2, x_3$). Enter corresponding Weights ($w_1, w_2, w_3$). View Weighted Average, Simple Arithmetic Mean, and Geometric Mean.

What mathematical formula is used in this calculation?

Weighted Average = ∑(w_i * x_i) / ∑w_i. Geometric Mean = (x1 * x2 * x3)^(1/3).

Is the Weighted, Geometric & Harmonic Average Calculator on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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