Mean, median, mode, range, variance and standard deviation from any list of numbers.
Separate numbers with commas, spaces or new lines. At least one number is needed; sample variance needs at least two.
Tap an example to load it.
Mean (average)
How to use this tool
Type or paste your numbers, separated by commas, spaces or new lines.
The count, sum, mean, median, mode and range appear instantly, plus the sorted list.
Compare the population and sample variance and standard deviation — use population when your list is the whole set, sample when it is a sample of something bigger.
Use Copy to take the headline figures into a report or homework answer.
Formula & worked example
For 2, 4, 4, 4, 5, 5, 7, 9: the count is 8 and the sum is 40, so the mean is 40 ÷ 8 = 5. Sorted, the middle two values are 4 and 5, so the median is 4.5. The mode is 4 (it appears three times). The range is 9 − 2 = 7, the population standard deviation is exactly 2 and the sample standard deviation is about 2.14.
Limitations — read this before you rely on it
Summary statistics hide shape: two very different lists can share the same mean and standard deviation, so check the sorted list too. The mean is pulled by extreme outliers — the median is the safer “typical value” for skewed data. A single number has no meaningful variance or standard deviation.
Frequently asked questions
Paste or type numbers separated by commas, spaces or new lines, and the calculator shows the count, sum, mean, median, mode, range, variance and standard deviation at once.
Population variance divides by n (the whole set is all there is); sample variance divides by n − 1, which corrects for estimating a larger population from a sample. Both are shown, so you can pick the one your class or report uses.
The mean is the sum divided by the count. The median is the middle value when sorted (the average of the middle two for an even count). The mode is the most frequent value — there can be more than one, or none if every value appears once.
Standard deviation measures spread: roughly how far a typical value sits from the mean. A small SD means values cluster near the mean; a large SD means they are spread out.
Yes — commas, spaces, semicolons and new lines all work, so you can paste a column straight from a spreadsheet.