Average Calculator
Calculate mean, weighted average, and other types of averages for a set of numbers.
An average calculator computes the arithmetic, geometric, harmonic, or weighted mean of a set of numbers along with related statistics.
Examples
Arithmetic
Geometric
Weighted
Frequently Asked Questions
When should I use geometric mean?
What is harmonic mean used for?
How does weighted average work?
Quick Tips
- •Double-check your inputs — small errors lead to incorrect results.
- •Use decimal form for fractions when entering values.
- •For weighted averages, enter alternating value,weight pairs separated by commas.
An average calculator computes the arithmetic, geometric, harmonic, or weighted mean of a set of numbers along with related statistics.
How to Use This Calculator
Enter comma-separated numbers and select the type of average. For weighted average, enter alternating value,weight pairs (e.g., 90,3,80,2). The calculator shows the result along with additional statistics.
Understanding the Formula
Arithmetic: (x₁+x₂+...+xₙ)/n; Geometric: (x₁·x₂·...·xₙ)^(1/n); Harmonic: n/(1/x₁+1/x₂+...+1/xₙ); Weighted: Σ(xᵢwᵢ)/Σwᵢ
Examples
Arithmetic
Mean of 10, 20, 30 = (10+20+30)/3 = 20
Geometric
Mean of 2, 8, 32 = (2×8×32)^(1/3) = (512)^(1/3) = 8
Weighted
Grades 90(weight 3), 80(weight 2): (90×3+80×2)/(3+2) = 430/5 = 86
Frequently Asked Questions
When should I use geometric mean?
Use geometric mean for rates of change, growth rates, and ratios. It is ideal when values are multiplied together, like compound interest rates.
What is harmonic mean used for?
Harmonic mean is used for averaging rates, like speed. For example, if you drive 60 mph one way and 40 mph back, the harmonic mean gives the true average speed.
How does weighted average work?
Weighted average gives more importance to certain values. Enter alternating value,weight pairs. Higher weights mean more influence on the result.
Assumptions & Limitations
- Assumes all input values are valid numbers; non-numeric entries are ignored.
- Geometric mean requires all positive values; harmonic mean requires all non-zero values.
- Results may show floating-point approximations for irrational numbers.