Free Average Calculator
An average calculator summarises a list of numbers with a single typical value. Paste your numbers, separated by commas, spaces or new lines, and this free tool returns the mean, median and mode, plus the count, sum, smallest, largest, range, variance and standard deviation. It suits marksheets, daily traffic figures, price lists and survey answers.
Average Calculator
Calculators and Converters
About this tool
The mean is the sum divided by the count, and is what most people mean by "the average". The median is the middle value once the list is sorted, and is the better summary when a few very large or very small values would drag the mean away from what is typical, as with salaries or page load times. The mode is the value that appears most often. A list can have several modes or none, and the tool says so.
Spread matters as much as the middle. The range is the largest value minus the smallest. The standard deviation measures how far values typically sit from the mean. Two sets of daily visitors can have the same mean while one is steady and the other swings wildly, and the standard deviation shows the difference. Both the population version (divide by n) and the sample version (divide by n minus 1) are shown, since they answer different questions.
Numbers can be separated by commas, semicolons, spaces or line breaks, and pasted straight from a spreadsheet column. Thousands separators are not supported, so write 1200 rather than 1,200, because the comma is read as a separator. Anything that is not a number is skipped and reported, so you can see if a stray character changed your count.
Frequently asked questions
What is the difference between mean, median and mode?
The mean adds every value and divides by how many there are. The median is the middle value of the sorted list. The mode is the most frequent value. For 2, 3, 3, 4, 18 the mean is 6, the median is 3 and the mode is 3, which shows how one large value pulls the mean up.
Should I use the population or sample standard deviation?
Use the population figure when your list is every value you care about, such as all marks in one class. Use the sample figure when the list is a sample taken from a larger group, such as 40 survey answers from thousands of customers. The sample version divides by n minus 1 and is slightly larger.
How do I enter my numbers?
Paste or type them separated by commas, spaces, semicolons or new lines. A column copied from a spreadsheet works as it is. Decimals use a point, for example 12.5. Do not use commas inside a number such as 1,200, because the comma splits it into two numbers.
What if there are two modes?
When two or more values appear equally often, the list is multimodal and all of those values are shown. If every value appears just once, there is no mode and the tool says so. The median and mean are unaffected, so you still get a usable summary.
How many numbers can I enter?
Up to 20,000 numbers in one go, which covers a year of daily figures or a long survey export. If your list is longer, split it into parts or calculate each part separately. Items that are not numbers are ignored and counted in a note below the result.