Tool for calculating the median from a list of values. The median of a list of numbers is a statistical value illustrating in part the distribution of numbers in the list.

Median of Numbers - 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*!

Take a list of $ n $ values $ X = \{x_1, x_2, \dots, x_n \} $ ranked in ascending order. To calculate the median of this set of values, take the value in the middle of this list (with as much value on the left as on the right).

Thus, if the list has an odd number ($ 2N+1 $) of elements, the median is the value of the (N+1)-th element. If the list has an even number ($ 2N $) of elements, the median is the average value (arithmetic mean) between element `N` and element `N+1`.

__Example:__ The list of 8 elements: `13,5,1,3,21,1,2,8` is sorted by ascending order `1,1,2,3,5,8,13,21`. Its median is `4`, the mean between the digits `3` and `5` (respectively in 4th and 5th position in the list, like this, there are 4 smaller values and 4 larger values).

__Example:__ The list of 5 elements: `1,100,1000,10000,10` is sorted `1,10,100,1000,10000`. Its median is the value at the center of the list: `100` (in position 3, like this, there are 2 smaller values and 2 larger values).

The median is generally used in statistics to represent a central tendancy for value sets with a long tail. Indeed the series of numbers whose most of the elements is outside the normal distribution are poorly represented by the average/mean value, the median is generally preferred in these cases.

__Example:__ The median is used for salaries to get the median income

It is impossible to find back the original values from a median value. There is an infinity of set of values having the same median.

__Example:__ `1,3,5` has the same median as `-1,0,3,1000,1000000000`

dCode retains ownership of the "Median of Numbers" source code. Except explicit open source licence (indicated Creative Commons / free), the "Median of Numbers" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Median of Numbers" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Median of Numbers" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!

Reminder : dCode is free to use.

The copy-paste of the page "Median of Numbers" or any of its results, is allowed (even for commercial purposes) as long as you cite dCode!

Exporting results as a .csv or .txt file is free by clicking on the *export* icon

Cite as source (bibliography):

*Median of Numbers* on dCode.fr [online website], retrieved on 2024-03-03,

median,number,digit,value,mean,list

https://www.dcode.fr/median

© 2024 dCode — El 'kit de herramientas' definitivo para resolver todos los juegos/acertijos/geocaching/CTF.

Feedback