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*!

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.

From a list of $ n $ values $ A = \{a_1, a_2, \dots, a_n \} $ sorted in 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 in 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 in 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 online 'Quantile of Numbers' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Quantile of Numbers download for offline use on PC, tablet, iPhone or Android !

Please, check our community Discord for help requests!

quantile,number,digit,value,mean,list

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

© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.

Feedback

▲