Geometric Mean Calculator
Calculate the geometric mean of four positive values. Compare with the arithmetic mean and see the product.
How to Use the Geometric Mean Calculator
- Enter four positive values.
- Click Calculate to see the geometric and arithmetic means.
- The product of all values is also shown.
クイックリファレンス
| 変換元 | 変換先 |
|---|---|
| 2, 8 | GM = 4 |
| 1, 10, 100, 1000 | GM ≈ 31.62 |
| 4, 4, 4, 4 | GM = 4 |
| 1, 2, 3, 4 | GM ≈ 2.21 |
| AM–GM | AM ≥ GM always |
使用例
- •Computing average investment returns over multiple periods.
- •Finding the central tendency of positively skewed data.
- •Averaging ratios in biological and financial data.
計算式
Geometric mean = (v₁ × v₂ × … × vₙ)^(1/n) = exp(Σln(vᵢ)/n). All values must be positive.
よくある質問
What is the geometric mean?
The nth root of the product of n numbers. It's useful for rates of change and multiplicative processes.
When should I use geometric mean?
For averaging ratios, percentages, growth rates, or any data that multiplies rather than adds.
Is geometric mean always ≤ arithmetic mean?
Yes, by the AM–GM inequality: the arithmetic mean is always ≥ the geometric mean for positive values.