Tool to compute a mean from numbers. The arithmetic mean (or commonly the mean/average) of a list of numbers is a statistical representation showing the distribution of the numbers in the list.

Arithmetic 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*!

Go to: Mean of a Function

Go to: Weighted Mean of Numbers

Tool to compute a mean from numbers. The arithmetic mean (or commonly the mean/average) of a list of numbers is a statistical representation showing the distribution of the numbers in the list.

The **arithmetic mean** is the mathematical term to define what is commonly called *mean* or *>average.*

Take a list of $ n $ values (digits, numbers, natural or real numbers) $ X = \{x_1, x_2, \dots, x_n \} $. The **arithmetic mean** is defined by the sum of the values divided by the number of values $ n $.

$$ \bar{x} = {1 \over n} \ sum_{i=1}^n{x_i} $$

The **arithmetic mean** is generally used to give a general trend to a set of homogeneous data, possibly bounded, for example school marks between 0 and 20.

Example: The list of $ 4 $ numbers $ \{ 12, 14, 18, 13 \} $ its average value is $ (12+14+18+13)/4 = 14.25 $

This definition can be extended to a function, see function mean calculator.

To find the central value of a list, see median calculator.

When the values are assigned coefficients, see the weighted mean calculator.

Classic method :` // pseudocode`

function mean(array[N]) {

sum = 0

for i = 0; i < N ; i++ {

sum += array[i]

}

return sum / N

}

Optimized method for floats (avoid big values) :` // pseudocode`

function mean(array[N]) {

m = 0

for i = 0; i < N; i++) {

m += (array[i] - m)/(i+1);

}

return m

}

dCode retains ownership of the source code of the script Arithmetic 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 Arithmetic Mean script for offline use on PC, iPhone or Android, ask for price quote on contact page !

moyenne,nombre,value,chiffre,arithmetic,list,average

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

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

Feedback

▲