Average Calculator
This average calculator takes any list of numbers and returns the mean, median, mode and range, plus the count, sum, minimum, maximum and geometric mean. Paste values separated by commas, spaces or new lines, and every statistic updates live as you type, so you can trim outliers and watch the average shift.
Average Calculator tool
How to use it
- Type or paste your numbers, separated by commas, spaces or new lines.
- Read the mean, median, mode and range at the top.
- Use the extra stats like sum, min and max for a fuller picture.
What is an average?
An average, or arithmetic mean, is the one number that best stands in for a whole list. Add every value, then divide by how many values there are:
mean = sum of values ÷ count of valuesFor 2, 7, 19, 24 and 25 the sum is 77 and the count is 5, so the mean is 15.4. The mean spreads the total evenly across every item, which is why it fits test scores, prices and hours. It is not the only kind of average, though. The median takes the middle value and the mode takes the most common one, and each answers a slightly different question about what is typical.
Worked example
Five types of averages compared
| Type | How it works | Best for | Mini example |
|---|---|---|---|
| Arithmetic mean | sum ÷ count | Everyday scores and totals | Mean of 4 and 9 is 6.5 |
| Weighted mean | Σ(value × weight) ÷ Σ(weights) | Grades, portfolios | 90 and 70 weighted 3:1 give 85 |
| Geometric mean | nth root of the product | Growth rates, returns | Geometric mean of 4 and 9 is 6 |
| Harmonic mean | count ÷ sum of (1 ÷ value) | Speeds and other rates | Harmonic mean of 4 and 9 is about 5.54 |
| Moving average | Mean of the last n values, updated as data arrives | Trends over time | Last three days of 10, 12, 14 average 12 |
Mean, median and mode explained
The mean is what most people call the average: add every number and divide by how many there are. For 2, 7, 19, 24 and 25 the sum is 77 and there are five values, so the mean is 15.4. It is the right choice when values are fairly even, but a single very large or very small number can pull it off center.
The median is the middle value once the numbers are sorted. With five values that is the third one, 19. With an even count, average the two middle numbers: the median of 3, 5, 8 and 10 is 6.5. Because it only cares about position, the median ignores extreme outliers, which makes it the better summary for home prices or salaries. The mode is the value that shows up most often, and the range is the gap between the largest and smallest number, 25 minus 2, or 23.
When mean and median disagree
Five salaries of $40,000, $45,000, $50,000, $55,000 and $300,000 have a mean of $98,000 and a median of $50,000. The mean is mathematically correct and still misleading, since four of the five people earn nowhere near it. When the two numbers sit far apart, the data is skewed and the median usually tells the more honest story. When they are close, the distribution is roughly symmetric and either will do.
The geometric mean multiplies the values and takes the nth root, and it only works when every number is positive. It is the right average for growth rates. A portfolio that gains 10% one year and 30% the next has multiplied by 1.10 and then 1.30, and the geometric mean of those factors is the square root of 1.43, about 1.196, so the true average return is 19.6% a year rather than 20%. For the sample list above, the geometric mean is about 11, well below the arithmetic mean of 15.4. It always comes out lower unless every value is identical.
Common uses
- Averaging test scores and grades
- Summarizing survey or sensor data
- Comparing prices, salaries or ratings
- Checking a dataset before deeper analysis
- Finding the typical value in a skewed list
- Averaging growth rates with the geometric mean
When to use it
- You need to know how to calculate the average of percentages from several equal-length tests.
- You are checking how to find the average of negative numbers, since the tool reads minus signs correctly.
- Home prices in a listing look skewed, so you want the median of the data set instead of the mean.
- You pasted a column from a spreadsheet and want the mean, median and mode of a data set in one shot.
- You track daily sales and want a quick typical value before building a chart.
Related tools
The Sum Calculator is the lighter option when you only need the total of a list, not its statistics.
The Grade Calculator handles weighted averages, where a midterm counts more than a quiz.
The GPA Calculator averages letter grades by credit hours on the 4.0 scale.