How to Use
- Enter numbers
Type your numbers separated by commas, or enter one number per line.
- Choose calculation type
Select arithmetic mean, weighted average, median, or mode.
- View results
Click Calculate to see the average and a statistical summary of your data.
What Is an Average?
An average is a statistical measure that summarizes several numbers into a single representative value. The average people usually mean is the arithmetic mean — the sum of all values divided by how many there are — but depending on the nature of your data, another type of average may be more appropriate.
Types of Central Tendency
- Arithmetic mean – for values where summing makes sense, such as test scores, heights, or sales
- Median – for data such as salaries or house prices where outliers distort the distribution
- Mode – for categorical data such as the most common size or favorite color
- Geometric mean – for ratios that compound multiplicatively, such as growth or return rates
- Harmonic mean – when you need the average of rates, such as speeds or unit prices
This calculator computes all five averages at once, so you can compare whether your data is skewed and which measure best represents it.
Calculation Formula
The arithmetic mean divides the sum of all values by the count N.
Mean = (x₁ + x₂ + ... + xₙ) / N
Worked Example
Arithmetic mean of the data [2, 4, 4, 4, 5, 5, 7, 9]:
- Sum: 2+4+4+4+5+5+7+9 = 40
- Count: N = 8
- Arithmetic mean: 40 / 8 = 5
For the same data, the median is 4.5 — the average of the two middle values (4, 5) after sorting — and the mode is 4, which appears three times. The geometric mean is (x₁ × x₂ × ... × xₙ)^(1/N) and the harmonic mean is N / (1/x₁ + ... + 1/xₙ); both are defined only when every value is positive.