What is the difference between mean, median and mode?

The mean is the sum of the numbers divided by how many there are. The median is the middle value when they are sorted, which is less affected by outliers. The mode is the value that appears most often. They can all differ, which is why seeing the three together gives a fuller picture.

The range is the difference between the largest and smallest value in the list, so for 4, 8 and 15 the range is 15 − 4 = 11. It is a simple measure of how spread out the numbers are.

Which standard deviation should I use, population or sample?

Use population standard deviation when your numbers are the entire group you care about, and sample standard deviation when they are a sample drawn from a larger group. The calculator shows both, since the right one depends on what your data represents.

Does this work offline and is anything sent to a server?

The calculation runs entirely in your browser, so nothing you type is sent anywhere, and once the page has loaded it keeps working with no connection. There is no sign-up and no limit on how many calculations you make.

Average Calculator (Mean, Median, Mode)

Paste or type a list of numbers and get the mean, median, mode and range at once, along with the sum, count and standard deviation. Numbers can be separated by commas, spaces or new lines. A free average calculator that runs in your browser, with no sign-up.

Exact, step-by-step answers
100% free
No sign-up, no app
Instant as you type
Works offline after first load

Read the guide: How to Find Mean, Median and Mode

Numbers

Mean (average)

Median

4.5

Mode

Range

Sum

Count

Min / Max

2 / 9

Std dev (sample)

2.13809

Std dev (population)

How to use it

1
Paste your numbers

Type or paste the list into the box. Separate values with commas, spaces or new lines, whichever you have.
2
Read the averages

The mean, median, mode and range appear instantly, with the sum and count beside them.
3
Check the spread

See the standard deviation, both population and sample, to understand how spread out the numbers are.

When it comes in handy

Grades and scores

Find an average mark across a set of results, or the median to see the middle value.

Data and reporting

Get a quick statistical summary of a column of numbers without opening a spreadsheet.

Measurements and tests

Average a set of readings and see how much they vary with the standard deviation.

Instant, exact & 100% in your browser

The maths runs right here in your browser, with fractions and whole numbers kept exact rather than rounded along the way. Nothing you type is sent to a server, there is no sign-up and no limit, and once the page has loaded it keeps working even with no connection.

Frequently asked questions

What is the difference between mean, median and mode?: The mean is the sum of the numbers divided by how many there are. The median is the middle value when they are sorted, which is less affected by outliers. The mode is the value that appears most often. They can all differ, which is why seeing the three together gives a fuller picture.
What is the range?: The range is the difference between the largest and smallest value in the list, so for 4, 8 and 15 the range is 15 − 4 = 11. It is a simple measure of how spread out the numbers are.
Which standard deviation should I use, population or sample?: Use population standard deviation when your numbers are the entire group you care about, and sample standard deviation when they are a sample drawn from a larger group. The calculator shows both, since the right one depends on what your data represents.
Does this work offline and is anything sent to a server?: The calculation runs entirely in your browser, so nothing you type is sent anywhere, and once the page has loaded it keeps working with no connection. There is no sign-up and no limit on how many calculations you make.