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Mean Calculator

The average, computed transparently: sum and count always on show.

Calculate the mean

Mean, sum, count, median and more for your dataset.

Quick answer: To find the mean, add all the values and divide by how many there are. For example, the mean of 4, 8 and 9 is 21 ÷ 3 = 7.

How to use this mean calculator

Type or paste your numbers above and press Calculate. You will see the mean alongside the sum and count it came from, so checking your own long division is easy.

What the mean actually is

The mean is the balancing point of your data. Imagine every value as a weight on a seesaw: the mean is where you would put the pivot so the seesaw sits level. Formally, it is the total divided by the count. Every value contributes exactly its share.

x̄ = Σxi ⁄ n

That "every value counts" property is why almost all of statistics is built on the mean: standard deviation measures distance from the mean, and the total of a dataset can always be recovered from mean × count.

Worked example

Daily commute times. Over ten working days, one commuter records: 22, 28, 25, 31, 24, 27, 35, 24, 29, 25 minutes. The total is 270 minutes, so the mean commute is 27 minutes. She budgets 30 minutes a day and is, on average, comfortably inside it, even though one 35-minute day felt terrible. Averages smooth the jagged edges of daily life; that is their job.

Not all means are arithmetic

The everyday mean above is the arithmetic mean. Two cousins appear in specific situations. The geometric mean averages growth rates and ratios (investment returns, population growth). The weighted mean lets some values count more than others: a module worth 60% of a course grade should pull the average harder than one worth 10%. Separate calculators on this site handle both.

Common mistake: averaging averages. If Class A (10 students) averages 60 and Class B (30 students) averages 80, the combined mean is not 70; it is (10×60 + 30×80) ÷ 40 = 75, because the bigger class carries more weight.

Frequently asked questions

How do you find the mean of a set of numbers?

Add all the numbers together, then divide by how many numbers there are. For example, the mean of 4, 8 and 9 is (4 + 8 + 9) ÷ 3 = 7.

What is the difference between mean and average?

In everyday language they are the same thing. Technically, 'average' is the family name, mean, median and mode are all averages, but unless stated otherwise, 'average' means the arithmetic mean.

Can the mean be a value that is not in the dataset?

Yes, very often. The mean of 2 and 9 is 5.5, which is not one of the values. The mean is a balance point, not a data point.