Language
English English Vietnamese (Tiếng Việt) Vietnamese (Tiếng Việt) Chinese (简体中文) Chinese (简体中文) Portuguese (Brazil) (Português do Brasil) Portuguese (Brazil) (Português do Brasil) Spanish (Español) Spanish (Español) Indonesian (Bahasa Indonesia) Indonesian (Bahasa Indonesia)

Find the arithmetic mean (average) of any list of numbers, with a step-by-step sum-and-divide breakdown and a full panel of related statistics.

Average of Any List of Numbers

This mean calculator works out the arithmetic mean — the value everyone calls the average — for any list of numbers. Paste your data once to get an instant result, a step-by-step sum-and-divide breakdown, and a full panel of related statistics, all computed right in your browser.

Mean and average are the same thing. The arithmetic mean adds up every value and divides by how many there are — the most common measure of central tendency.

Who Uses It

Grades & Scores

Find a student's average test score or grade across several assessments.

Business Metrics

Average daily sales, monthly revenue, or response times to gauge typical performance.

Lab & Research

Average repeated measurements to reduce the effect of random error in an experiment.

How to Calculate the Mean

1

Enter Your Numbers

Type or paste your values into the input box, separated by commas, spaces, semicolons, tabs, or new lines. Integers and decimals both work, and a live count shows how many numbers were read.

2

Read the Result Instantly

The mean is recalculated automatically as you type — there is nothing to submit. Adjust the decimal precision to 2, 4, 6, or 8 places whenever you need more detail.

3

Show the Steps

Click Show Steps to reveal the full calculation — the sorted values, their sum, the count, and the final division — so you can see exactly how the average was reached.

4

Review the Summary

The Summary panel lists every related statistic from the same data — median, mode, standard deviation, variance, range, and quartiles — so you never need to switch tools.

The Mean Formula

x̄ = Σxᵢ / n — add up all the values (Σxᵢ), then divide by the number of values (n).
Data setSum (Σxᵢ)Count (n)Mean (x̄)
5, 10, 15, 20, 2575515
3.5, 4.2, 5.1, 3.816.644.15
100, 200, 3006003200

Features

Instant Calculation

The arithmetic mean updates live as you edit your data, with a running count of the numbers read.

Step-by-Step Solution

A clear breakdown shows the sorted values, the sum, the count, and the final division.

Flexible Input

Accepts numbers separated by commas, spaces, semicolons, tabs, or new lines.

Adjustable Precision

Round the result to 2, 4, 6, or 8 decimal places (4 by default).

Complete Summary

Median, mode, standard deviation, variance, range, and quartiles — all computed at once.

Private by Design

All math runs in your browser — your data never leaves your device.

Best with evenly spread data: the mean represents your numbers well when there are no extreme outliers pulling the average up or down.

Common Questions About the Mean

Is the mean the same as the average?

Yes. In everyday use, "average" almost always means the arithmetic mean — the sum of the values divided by how many there are. That is exactly what this calculator returns.

How do I calculate the mean by hand?

Add every value to get the sum, count how many values there are, then divide the sum by the count: x̄ = Σxᵢ / n. Turn on Show Steps to watch this play out with your own numbers.

What is the difference between the mean and the median?

The mean divides the total by the count, while the median is the middle value once the data is sorted. The median is far less affected by outliers, so it can be more representative for skewed data. Both appear in the Summary panel.

Does this calculate the weighted or geometric mean?

No — this tool computes the arithmetic mean, where every value counts equally. Weighted means (values with different importance) and geometric means (for growth rates and percentages) use different formulas and are not calculated here.

Why do outliers affect the mean so much?

Because every value feeds into the sum, a single very large or very small number can shift the mean noticeably. When your data has extreme outliers, the median is often the better summary of the typical value.

Can I use decimals, and how many decimal places are shown?

Yes. Both integers and decimals are accepted. You can round the result to 2, 4, 6, or 8 decimal places — it defaults to 4 — and whole-number results are shown without trailing zeros.

Enter Data
Data Type
Decimals
Arithmetic Mean
-
x̄ = (Σxᵢ) / n
Median
-
Middle value of sorted data
Mode
-
Most frequent value(s)
Sample Standard Deviation
-
s = √[Σ(xᵢ - x̄)² / (n - 1)]
Sample Variance
-
s² = Σ(xᵢ - x̄)² / (n - 1)
Summary Statistics
Count -
Sum -
Min -
Max -
Range -
Mean -
Median -
Mode -
Std Dev (S) -
Std Dev (P) -
Variance (S) -
Variance (P) -
Q1 -
Q2 -
Q3 -
IQR -
Enter numbers separated by commas, spaces, or new lines
The mean recalculates live as you type — there is no submit button
Formula: x̄ = Σxᵢ / n — the sum of the values divided by the count
Click Show Steps for the full sort, sum, and divide breakdown
Set decimal precision to 2, 4, 6, or 8 places (default 4)
Try the Example button to load a sample data set instantly
Every calculation runs locally in your browser
Want to learn more? Read documentation →
1/8
Start typing to search...
Searching...
No results found
Try searching with different keywords