Average Calculator
Calculate the arithmetic mean, weighted average, and geometric mean of any set of numbers. Instant results with a clear breakdown.
Arithmetic Mean (Average)
Enter numbers separated by commas, spaces, or new lines.
How to Use This Tool
- Choose a calculation mode: Arithmetic Mean, Weighted Average, or Geometric Mean.
- For Arithmetic Mean, enter your numbers separated by commas, spaces, or new lines.
- For Weighted Average, enter each value and its corresponding weight in the rows provided, adding more rows as needed.
- For Geometric Mean, enter positive numbers separated by commas, spaces, or new lines.
- Review the result box for the computed average along with supporting statistics like count, sum, min, and max.
Formula & How It Works
Arithmetic Mean
Mean = (x₁ + x₂ + ... + xₙ) / nAdd all the values together and divide by how many values there are.
Weighted Average
Weighted Average = Σ(value × weight) / Σ(weight)Multiply each value by its weight, sum those products, then divide by the total of all weights.
Geometric Mean
Geometric Mean = ⁿ√(x₁ × x₂ × ... × xₙ)Multiply all the numbers together, then take the nth root, where n is the count of numbers.
Practical Examples & Common Use Cases
Example: Arithmetic Mean of 10, 20, 30, 40, 50
Sum = 10 + 20 + 30 + 40 + 50 = 150. Count = 5. Mean = 150 / 5 = 30.
Example: Weighted Average of 90 (weight 3) and 80 (weight 2)
Sum of products = (90 × 3) + (80 × 2) = 270 + 160 = 430. Total weight = 3 + 2 = 5. Weighted average = 430 / 5 = 86.
Example: Geometric Mean of 2, 8, 32
Product = 2 × 8 × 32 = 512. Count = 3, so take the cube root: ³√512 = 8.
Frequently Asked Questions
Add all the numbers together and divide by how many numbers there are. For example, the average of 10, 20, and 30 is (10+20+30) / 3 = 20.
A weighted average assigns different importance (weights) to each value. Use it when some values matter more than others — for example, calculating a final grade where exams count more than homework.
The geometric mean is used when comparing growth rates, ratios, or percentages. It is the correct average for multiplicative data, like average investment returns over multiple years.
In common usage they mean the same thing — the arithmetic mean. Technically, "average" can also refer to median or mode, but it most often means the sum divided by the count.
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