Average Calculator
Adjust the inputs below. Results update as you type.
How it works
The arithmetic mean is the sum of all values divided by the count. Median is the middle value when sorted—or average of two middle values for even counts. Mode is the most frequent value (there may be none or several). Range = max − min. Outliers pull the mean more than the median, which is why median household income is often more representative than mean.
Input guidance
- Check units and decimal placement before running calculations.
- For percentage and ratio tasks, define the baseline value clearly.
- Use rounded output carefully and keep full precision for intermediate steps.
The formula
The mean average = sum of values ÷ number of values. Other averages include the median (middle) and mode (most frequent).
Worked example
The average of 10, 20, and 30 is (10 + 20 + 30) ÷ 3 = 20.
More examples to test
- Baseline example: solve with clean numbers first to verify formula direction.
- Edge-case example: test near-zero or boundary values to avoid interpretation errors.
How to interpret results
Use outputs as quick checks, then verify with step-by-step work for graded or high-stakes use.
When this can be inaccurate
Errors usually come from unit mismatch, wrong baseline assumptions, or rounding too early in multistep problems.
Change history
- July 2026: Quality-reviewed for publication with formula checks and explanatory copy updates.
Site-wide corrections also appear on the corrections log.
Build math and logic skills with guided lessons
Educational platform recommendation.
Frequently asked questions
What is an average?+
Usually the arithmetic mean — the sum of all values divided by how many there are — a single number representing the typical value.
When is the mean misleading?+
When data has outliers or is skewed. A few extreme values pull the mean away from the typical value, where the median is more representative.
What is a weighted average?+
An average where some values count more than others, like a GPA where credit hours weight each course grade.
Why do my classroom and calculator results differ?+
Differences usually come from rounding conventions, order-of-operations handling, or different baseline assumptions.
What is the safest way to validate an answer?+
Recompute with units shown and check against a second method or manual arithmetic for critical problems.
Guided next steps
Want the full workflow? Use this calculator inside a step-by-step guide.