Average Calculator
Mean, median, mode and spread for any list of numbers.
Separate with commas, spaces or new lines. 0 numbers so far.
Type a few numbers to see their average.
How it works
The mean is the total divided by how many numbers there are. The median is the middle value once they're sorted, which is the more honest summary when one outlier would drag the mean around. The mode is whatever repeats most — shown only when something actually does. Standard deviation is the population form (divided by n), which is what you want when the numbers you typed are the whole set rather than a sample of a larger one.
mean = Σx ÷ n · σ = √(Σ(x − mean)² ÷ n)Example
- 78, 85, 92, 67, 88 → mean 82, median 85
- 1, 1, 2, 9 → mean 3.25, median 1.5, mode 1
About this calculator
Paste or type any list of numbers — separated by commas, spaces, tabs or new lines — and this returns the mean, median, mode, sum, count, smallest, largest, range and standard deviation. Anything it cannot read as a number is reported back rather than quietly skipped, so a typo cannot silently drop a value out of your average.
The mean is the familiar average; the median is the middle value once the list is sorted, which is the more honest summary when one outlier would drag the mean around. The mode is only shown when a value actually repeats.
Frequently asked questions
How do I calculate the average of numbers?
Add all the numbers together and divide by how many there are. For 78, 85, 92, 67 and 88 the total is 410 and there are five values, so the mean is 82.
What is the difference between mean, median and mode?
The mean is the total divided by the count. The median is the middle value when sorted — the mean of the two middle values if the count is even. The mode is whatever appears most often. For 1, 1, 2 and 9 the mean is 3.25, the median is 1.5 and the mode is 1.
When should I use the median instead of the mean?
When a few extreme values would distort the picture. One very large salary pulls a mean salary upwards while leaving the median where most people actually are, which is why income and house-price figures are usually quoted as medians.
Which standard deviation does this use?
The population standard deviation, which divides by n. That is the right choice when the numbers you typed are the whole set. If they are a random sample of a larger population and you need the sample standard deviation, it divides by n − 1 instead and will be slightly larger.