Calcolatore Media Geometrica
Calcola la media geometrica di un insieme di valori positivi.
Geometric Mean
8.320335
Geometric Mean vs Value 1
Formula
How to Compute the Geometric Mean
Formula
Geometric Mean = (v1 * v2 * ... * vn)^(1/n)
Multiply all values together, then take the nth root where n is the number of values. The geometric mean is always less than or equal to the arithmetic mean for positive numbers, and it is particularly useful when comparing quantities that multiply together, such as annual investment returns.
Esempio Risolto
Find the geometric mean of 4, 9, and 16.
- 01Product = 4 * 9 * 16 = 576
- 02n = 3 values
- 03Geometric Mean = 576^(1/3) = cube root of 576 ≈ 8.3203
Domande Frequenti
Why use the geometric mean instead of the arithmetic mean?
The geometric mean is appropriate when values are multiplied together or represent rates of change, such as compound interest rates or population growth across periods.
Can the geometric mean handle zero or negative values?
No. The standard geometric mean requires all values to be strictly positive. A zero makes the entire product zero, and negatives make the root undefined for even counts.
How does the geometric mean relate to logarithms?
The log of the geometric mean equals the arithmetic mean of the logarithms of the individual values: log(GM) = (log(v1) + log(v2) + ... + log(vn)) / n.
Impara