Tool to compute a geometric mean. The geometric mean of a list of numbers is a representation which gives an estimate of the tendency of the data in a list, it has the advantage of being less sensitive to high values.
Geometric Mean - dCode
Tag(s) : Statistics, Data Processing
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Tool to compute a geometric mean. The geometric mean of a list of numbers is a representation which gives an estimate of the tendency of the data in a list, it has the advantage of being less sensitive to high values.
For a list of $ n $ values $ X = \{x_1, x_2, \dots, x_n\} $, the geometric mean is defined by the nth root ( $ \sqrt[n]{} $ ) of the product of the values.
$$ \bar{x}_{geom} = \sqrt[n]{\prod_{i=1}^n{x_i}} $$
Example: The list of $ 3 $ numbers $ \{1, 10, 100 \} $ has for geometric mean $ \sqrt[3]{1 \times 10 \times 100} = 10 $, whereas it has for arithmetic mean $ 55.5 $.
To get a geometric representation, the geometric mean of the sides of a rectangle has a value $ c $ which could be the length of one side of a square of area identical to the original rectangle.
Example: A rectangle of $ 6 \times 10 $ has an area of $ 60 $. The geometric mean of $ 6 $ and $ 10 $ is $ \approx 7.746 $. And a square of side length $ 7.746 $ has an area of $ \approx 60 $.
When the values are assigned coefficients, it is called a weighted geometric mean.
Using the mathematical formula : //Python
or to avoid a potential number overflow :
import numpy as np
def geometric_mean(iterable):
a = np.array(iterable)
return a.prod()**(1.0/len(a))//Python
import numpy as np
def geometric_mean(iterable):
a = np.log(iterable)
return np.exp(a.sum()/len(a))
dCode retains ownership of the online 'Geometric Mean' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Geometric Mean download for offline use on PC, tablet, iPhone or Android !
Please, check our community Discord for help requests!