This average calculator takes a list of numbers and instantly shows the mean (the usual “average”), median, mode, range, sum, count, minimum and maximum, plus the sample and population standard deviation, variance and geometric mean. It is handy for homework, test scores, survey results, prices, sports statistics and quick data checks.
Type or paste your numbers separated by commas, spaces, semicolons or new lines, for example a column copied from a spreadsheet. Negative numbers and decimals are fine, and anything that is not a number is skipped with a note so you can fix it.
How to use the Average Calculator tool
- Type or paste your numbers into the box (any mix of commas, spaces and new lines).
- Read the mean in the result box with the calculation shown.
- Check the median, mode, range and other statistics below.
- Use Sort numbers to tidy the list, or Copy results to paste them elsewhere.
Why use ToolOrca Average Calculator
- Mean, median, mode and range
- Sum, count, minimum and maximum
- Sample and population standard deviation
- Variance and geometric mean
- Paste straight from Excel or Google Sheets
- Live results as you type
Mean, median and mode explained with an example
The mean is the sum of the values divided by how many there are. The median is the middle value after sorting (the average of the two middle values when the count is even). The mode is the value that appears most often; there can be several, or none if every value is unique. The range is the largest value minus the smallest.
Worked example: for 12, 15, 18, 15, 22, 30, 15, 25 the sum is 152 and the count is 8, so the mean is 152 ÷ 8 = 19. Sorted, the list is 12, 15, 15, 15, 18, 22, 25, 30, so the median is (15 + 18) ÷ 2 = 16.5. The mode is 15 (three times) and the range is 30 − 12 = 18.
Sample vs population standard deviation
Standard deviation measures how spread out the numbers are around the mean. Use the population version (divide by n) when your list contains every value you care about, such as all students in one class. Use the sample version (divide by n − 1) when the numbers are a sample from a larger group. For the example above, the population standard deviation is 5.74 and the sample standard deviation is 6.14.
Frequently asked questions
How do I calculate the average of numbers?
Add all the numbers and divide by how many there are. The average of 85, 90 and 78 is (85 + 90 + 78) ÷ 3 = 253 ÷ 3 = 84.33.
What is the difference between mean and median?
The mean uses every value, so a few very large or small values pull it up or down. The median is just the middle value, so it is better for skewed data such as house prices or salaries.
What if there is no mode?
If every number appears only once, there is no mode, and the calculator shows “None”. If two or more values tie for most frequent, all of them are listed.
Can I paste numbers from Excel?
Yes. Copy a column or row of cells and paste it; values separated by tabs, new lines, commas or spaces are all recognised. Use a dot as the decimal separator (2.5, not 2,5).