Search for a tool
Quantile of Numbers

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.

Results

Quantile of Numbers -

Tag(s) : Statistics, Data processing

Share dCode and you

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!

Please, check our community Discord for help requests!

Thanks to your feedback and relevant comments, dCode has developped the best Quantile of Numbers tool, so feel free to write! Thank you !

# Quantile of Numbers

## Quantiles Calculator

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.

### How to compute a quantile?

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.

### When to use Percentiles?

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.

## Source code

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 !

## Need Help ?

Please, check our community Discord for help requests!