There are several kinds of mean, each suited to different data: the arithmetic mean for ordinary quantities, the geometric mean for growth rates and ratios, and the harmonic mean for rates such as speeds. For positive data, H ≤ G ≤ A.
How to use the Mean Calculator
- Type the numbers separated by commas, spaces or new lines.
- Read the result – it updates as you type.
Results update as you type, and everything is calculated in your browser.
How it works
Choose the type of mean. Geometric and harmonic means require positive numbers.
Inputs explained
| Field | What to enter |
|---|---|
| Data set | A list of numbers separated by commas, spaces or new lines |
| Type of mean | Choose one: Arithmetic, Geometric, Harmonic, All three |
What each result means
- Arithmetic mean = mean([Data set])
- Geometric mean = gmean([Data set])
- Harmonic mean = hmean([Data set])
- Number of values = count([Data set])
Formula
Arithmetic A = Σx / n Geometric G = (Πx)¹/n) Harmonic H = n / Σ(1/x)
Worked example
Inputs — Data set: 4, 8, 15, 16, 23, 42; Type of mean: All three.
Results — Arithmetic mean = 18; Geometric mean = 13.96549685; Harmonic mean = 10.49952448; Number of values = 6.
Key terms
- Mean
- A central value of a data set.
Frequently asked questions
What is the mean of 4, 8, 15, 16, 23, 42?
108 ÷ 6 = 18.
Which mean should I use?
Arithmetic for ordinary data, geometric for multiplicative growth, harmonic for rates.
Why is the geometric mean smaller?
By the AM–GM inequality, it never exceeds the arithmetic mean.
Is the mean the same as the average?
"Average" usually means the arithmetic mean.