Average Calculator

Calculate the mean, median, mode, sum, range and standard deviation for any list of numbers.

What is the Average Calculator?

An average summarises a set of numbers with one value. The mean is the arithmetic average, the median is the middle value and the mode is the most frequent value.

How does it work?

Paste numbers separated by commas, spaces or line breaks. The calculator sorts them and computes all common summary statistics at once.

Formula

Mean = Σx ÷ n
σ = √(Σ(x − mean)² ÷ n)

Example

For 12, 15, 18, 22, 22, 30: mean 19.83, median 20, mode 22, range 18.

Frequently asked questions

When should I use the median instead of the mean?

When data has outliers, such as salaries or house prices, the median gives a better sense of a typical value.

Population or sample standard deviation?

Use population when your list is the entire group; use sample (n − 1) when it is a sample from a larger group.

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