Average Calculator - Mean, Median, Mode & Full Statistics
Enter or paste any list of numbers and instantly get the mean, median, mode, range, standard deviation, and variance - all at once. See a visual distribution, detect outliers, and use weighted average mode for grades, scores, or any weighted data.
What makes it different
Other average tools give you
one number. This gives you the full picture.
Eight statistics simultaneously, visual distribution, outlier detection, weighted mode, and smart paste - all in one tool.
Smart bulk paste
Paste a spreadsheet column, a comma-separated list, or even a sentence like "scores were 78, 82, 91" - numbers are extracted automatically.
any format worksVisual distribution
A number line shows where each value sits, with the mean and median marked. Outliers (>2σ from mean) are highlighted in amber automatically.
see the shape of your data8 stats at once
Mean, median, mode, range, population and sample standard deviation, variance, geometric mean - all calculated simultaneously as you add numbers.
not just the averageWeighted average mode
Assign weights to each value for GPA calculations, course grades, portfolio returns, or any scenario where values have different importance.
grades, finance, sportsOutlier detection
Values more than 2 standard deviations from the mean are automatically flagged in amber - instantly reveals data points that may skew your average.
spot anomalies instantlyRemove any value
Each number is shown as a chip you can remove with one click - see how removing an outlier affects all eight statistics in real time.
experiment freelyQuick guide
Calculate statistics in seconds
Add your numbers
Type one at a time, paste a list, or copy from a spreadsheet. Numbers are extracted from any format automatically.
Read all 8 statistics
Mean, median, mode, range, standard deviation, variance, and more update instantly as each number is added.
Explore the distribution
See where values fall on the number line, check for outliers, and switch to Weighted mode for grade or score calculations.
Mean, median, mode - which one is the "real" average?
The word "average" is ambiguous - it usually means the arithmetic mean, but median and mode are also types of average. Each tells you something different about your data, and choosing the right one matters significantly.
When each measure is most useful
| Measure | Best used when | Misleading when |
|---|---|---|
| Mean | Data is symmetric, no extreme outliers | Data is skewed or has outliers |
| Median | Data has outliers or is skewed (income, house prices) | You need to use it algebraically |
| Mode | Categorical data, finding most common value | Every value appears only once |
| Weighted mean | Values have different importance or frequency | Weights are unknown or unreliable |
Standard deviation - what it really tells you
Standard deviation is how far, on average, each number is from the mean. A dataset of [10, 10, 10, 10] has a standard deviation of 0 - every value is exactly at the mean. A dataset of [1, 5, 10, 15, 19] has a much higher standard deviation because the values are spread out. In a normal distribution, roughly 68% of values fall within 1 standard deviation of the mean, and 95% within 2 standard deviations - which is why this tool flags values beyond 2σ as potential outliers.
Population vs sample standard deviation
Use population standard deviation (σ) when you have data for an entire population. Use sample standard deviation (s) when your numbers are a sample from a larger group. The difference is in the denominator: population uses N (total count), sample uses N−1 (Bessel's correction), which compensates for the tendency of a sample to underestimate the true spread.