Find the average of any numbers. This free average calculator gives the mean, plus the median, mode, range, sum and count — just paste your values.
The “average” usually means the mean (sum / count), but this also shows the median (middle value), mode (most frequent) and range, since each can be the figure you need.
Mean is the arithmetic average, median is the middle value when sorted, and mode is the most common value. They can differ a lot when data is skewed by outliers.
How the Average Calculator Works
“Average” most often means the mean, but median and mode can tell a very different story about the same dataset. This calculator takes any list of numbers and returns all three, along with the range, sum and count, so you can pick whichever figure actually answers your question.
Formula: Mean = (sum of all values) ÷ (count of values), i.e. Σx ÷ n. Median = the middle value once the numbers are sorted (for an even count n, it’s the average of the two middle values: (sorted[n/2 − 1] + sorted[n/2]) ÷ 2). Mode = the value(s) that occur most often; if every value appears only once, there is no mode. Range = maximum value − minimum value.
- Values — the numbers typed or pasted into the “Values” box, separated by commas, spaces or new lines.
- n — the count of values entered, used as the divisor for the mean.
- Σx (sum) — the total of all the values entered, used together with n to compute the mean.
Example Scenarios
| Values entered | Mean (average) |
|---|---|
| 4, 8, 15, 16, 23, 42 | 18 |
| 10, 20, 30 | 20 |
| 5, 5, 5, 5 | 5 |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 | 5.5 |
| 100, 200 | 150 |
| 2, 4, 4, 4, 6 | 4 |
Average Calculator FAQ
What’s the difference between mean, median, and mode?
Mean is the sum of all values divided by how many there are. Median is the middle value once everything is sorted (or the average of the two middle values for an even count). Mode is the value that appears most often in the dataset.Why would the mean and median give very different results for the same dataset?
The mean is pulled toward extreme values, while the median isn’t. A dataset like 10, 20, 30, 1000 has a mean of 265 but a median of 25 — one very large outlier drags the mean far above where most of the data actually sits.What happens if I enter a dataset with no repeated values, does it show a mode?
No — if every value in your dataset appears exactly once, there’s no most-frequent value, so the calculator reports the mode as “none” rather than picking an arbitrary number.What happens when there’s a tie for mode (two or more values appear the same number of times)?
The calculator lists every value that’s tied for the highest frequency. If there are more than three tied values, it shows the first three followed by “…” so the result stays readable rather than listing dozens of tied numbers.How does the calculator find the median when there’s an even number of values?
It sorts the values, then averages the two values sitting in the middle of the sorted list. For example, with 4 numbers sorted low to high, it averages the 2nd and 3rd values to get the median.What format should I use to enter my numbers?
Separate your numbers with commas, spaces, or new lines — the calculator accepts any of these, and you can even paste a mixed-format list copied from a spreadsheet or document directly into the box.Related Calculators
If your dataset needs more than a mean, the standard deviation calculator shows how spread out your values are, and the weighted average calculator is a better fit when some values should count more than others. For quick arithmetic on the side, the scientific calculator covers the rest.