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*!

Sponsored ads

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.

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 in 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

dCode retains ownership of the source code of the script Median of Numbers 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 given for free. To download the online Median of Numbers script for offline use on PC, iPhone or Android, ask for price quote on contact page !

median,number,digit,value,mean,list

Source : https://www.dcode.fr/median

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

Feedback

▲