Mean Calculator: Pinpoint the Average Free in 2 Steps

Mean Calculator average

Find the mean (average) of any list of numbers, with the sum and count shown.

Separate with commas, spaces or new lines. Decimals and negatives are fine.

Mean (x̄)
Count (n)
Sum (Σx)
Median
Min / Max
Range
Show working (LaTeX)

This free mean calculator finds the average of any list of numbers in one click, and also shows the sum, count, median, range and more.

How to use the mean calculator

Paste or type your numbers into the mean calculator above and press Calculate. This average calculator instantly returns the arithmetic mean along with the supporting statistics, and shows the formula step by step. You can paste a column straight from a spreadsheet.

mean calculator bar chart with a line marking the average of the data set
The mean is the balance point of the data — the value where the bars would balance.

What is the mean?

The mean, or arithmetic mean, is the sum of all values divided by how many there are. See the mean reference for related averages.

Definition. The mean $\bar{x}$ is the total of the values divided by the count: $\bar{x}=\frac{1}{n}\sum x_i$.

Mean formula

$$\bar{x}=\frac{x_1+x_2+\cdots+x_n}{n}=\frac{1}{n}\sum_{i=1}^{n} x_i$$

How to calculate the mean step by step

  1. Add up all the values.
  2. Count how many values there are.
  3. Divide the sum by the count.
⚠️ Mean vs medianThe mean is sensitive to outliers. One huge value can pull it up a lot — in that case the median is often a better summary.

Worked example

For 12, 7, 9, 14, 21, 10: sum = 73, count = 6, so the mean is $73 \div 6 \approx 12.1667$.

Why the mean matters in machine learning

The mean is everywhere in machine learning for beginners: it centers data during standardization and is the basis of the standard deviation and the z-score.

🤖 ML insight

Mean-centering (subtracting the mean from each feature) is the first step of standardization and of PCA — it moves the data so its average sits at the origin.

Frequently asked questions

What does this mean calculator compute?
The arithmetic mean (average), plus sum, count, median, min, max and range.
Can I paste numbers from Excel?
Yes — commas, spaces, tabs and new lines all work.
What is the difference between mean and average?
In everyday use they are the same thing — the arithmetic mean.
Is the mean affected by outliers?
Yes. Extreme values shift the mean; the median is more robust.
Is the mean calculator free?
Yes, completely free and browser-based.

Types of mean

The arithmetic average is the most common, but not the only one. The geometric mean multiplies the values and takes the nth root, which suits growth rates and ratios. The harmonic mean — the reciprocal of the average of reciprocals — is the right choice for rates such as speed. For most everyday data, the ordinary arithmetic average is what you want.

When a data set is skewed or holds outliers, report the median next to the average for an honest picture. A weighted average helps when some values count more than others: multiply each value by its weight, add the results, and divide by the total weight.

Mean calculator: summary

This mean calculator gives you the average and the working in one click. Compare it with the median calculator and the standard deviation calculator.

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