Tool to calculate the quantile value from a list of values. The quantiles/percentiles/fractiles of a list of numbers are statistical values that partially illustrates the distribution of numbers in the list.

Quantile 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*!

From a list of $ n $ values $ A = \{a_1, a_2, \dots, a_n \} $ sorted by ascending order, a quantile divides the series and presents the values $ a_i $ at the cutting point in order to retranscribe the distribution of the series of values.

To calculate a quantile, sort the list by ascending order and cut it to the corresponding percentile / percent $ n \times p\% $

__Example:__ The list of 7 elements (numbers): `111,10,101,100,11,1,110` is sorted by ascending order `1,10,11,100,101,110,111`. Its median (50 percentile) is `100` (middle value), so there are 3 smaller values and 3 values larger than `100` in the list).

NB : the mean is 63.

According to the numbers studied, the cut is variable.

50% (median) allows to locate the middle of the distribution (used for wages, size measurements, weight, etc.)

The 95% and 99% percentiles used for the more numerous statistical phenomena (which therefore make it possible to find the rarest among them) in order to deduce warning values.

dCode retains ownership of the "Quantile of Numbers" source code. Except explicit open source licence (indicated Creative Commons / free), the "Quantile of Numbers" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Quantile 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 "Quantile 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 "Quantile of Numbers" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!

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

Cite as source (bibliography):

*Quantile of Numbers* on dCode.fr [online website], retrieved on 2024-11-11,

https://www.dcode.fr/numbers-quantile

© 2024 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback