Maths

Average, Median & Mode

Statistics for a list of numbers.

How to use the Average, Median & Mode calculator

  1. Type or paste your numbers separated by commas or spaces.
  2. Read the mean, median, mode, range and standard deviation.

How it's calculated

Show the formula
Mean = sum ÷ count · Median = middle value when sorted · Mode = most frequent value

Median is the middle value when sorted. Mode is the most frequent value. Standard deviation here is the population formula.

Worked example

These are the example numbers the calculator opens with. Change any of them above to see your own result.

You enter

Numbers (separate with commas or spaces)12, 15, 18, 15, 22, 30, 15, 9

You get

Average (mean)17
Count8
Sum136
Median15
Mode15
Smallest / largest9 / 30
Range21
Standard deviation6.0828

Tips

  • The median is better than the mean when a few values are very large or small.

Frequently asked questions

What if there are two middle values?

The median is the average of the two middle values.

Which standard deviation is this?

The population standard deviation (dividing by n).

Want to calculate something else? Request a calculator and we'll email you when it's ready.

Get new calculators by email

One short email when we add a calculator or update rates like tax slabs, gold and nisab. No spam, unsubscribe anytime.

Need a calculator we don't have?

Tell us what you want to calculate. We'll email you as soon as it's ready.