Search for a tool
Geometric Mean

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.

Results

Geometric Mean -

Tag(s) : Mathematics, Data processing

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Geometric Mean tool. Thank you.

This page is using the new English version of dCode, please make comments !

# Geometric Mean

## Weighted Geometric Mean Calculator

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.

## Answers to Questions

### How to compute an arithmetic mean?

Consider 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 $$4$$ numbers $$\{1, 10, 100 \}$$ has for geometric mean $$\sqrt[3]{1 \times 10 \times 100} = 10$$, whereas it has for mean" target="_blank">arithmetic mean $$55.5$$.

To get a geometric representation, if we take the geometric mean of the sides of a rectangle, then we find a value $$c$$ which could be the length of one side of a square of area identical to the original rectangle.

Example: Consider a rectangle of $$6 \times 10$$, with 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.

## Source code

dCode retains ownership of the source code of the script Geometric Mean. 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, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Geometric Mean script for offline use, for you, your company or association, see you on contact page !

## Questions / Comments

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Geometric Mean tool. Thank you.

Source : http://www.dcode.fr/geometric-mean
© 2017 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode