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*!

See also: Weighted Mean of Numbers

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 source code of the script Geometric Mean online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Geometric Mean script for offline use on PC, iPhone or Android, ask for price quote on contact page !

moyenne,nombre,chiffre,geometric,list

Source : https://www.dcode.fr/geometric-mean

© 2019 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode

Feedback

▲