Statistics
Average Calculator
Find the average of a list of numbers, including arithmetic mean, weighted average, geometric mean, and harmonic mean, with supporting statistics and steps.
Separate numbers with commas, spaces, or semicolons.
Average
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- Count
- —
- Sum
- —
- Range
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Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
Use this calculator with
Follow these when you want the formula behind the answer, a short lesson, or nearby tools in the same topic.
What this average calculator solves
| Average type | Best for | Formula |
|---|---|---|
| Arithmetic | Regular lists of values | sum / count |
| Weighted | Grades, prices, or values with different importance | sum(value x weight) / sum(weights) |
| Geometric | Growth factors and rates of change | (product of values)^(1/n) |
| Harmonic | Rates such as speed or price per unit | n / sum(1/value) |
Formula
How to use it
Choose the average type, enter a list of numbers, and add weights only if you choose weighted average. Commas, spaces, and semicolons all work as separators.
How to interpret the answer
The average is a single-number summary. Compare it with the median and range to see whether a few high or low values are pulling the result.
Common mistakes
- Use weighted average when some values count more than others.
- Do not use geometric or harmonic mean with zero or negative values.
- Check the median when the list has outliers.
Worked examples
Arithmetic average
A simple list of five values
Average
18
Weighted average
Values with different weights
Average
93.33
Geometric mean
Positive growth factors
Average
1.04
Negative values
Arithmetic average can include negatives
Average
5
Frequently asked questions
How do I calculate an average?+
For the regular arithmetic average, add all values and divide by the number of values.
What is a weighted average?+
A weighted average gives some values more influence. Multiply each value by its weight, add those products, then divide by the sum of weights.
When should I use geometric mean?+
Use geometric mean for multiplicative change, such as growth factors or returns, when all values are positive.
Why is the median different from the average?+
The median is the middle value after sorting. It can stay stable when outliers pull the average up or down.
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Last updated: May 8, 2026