Tool to calculate the quartile value from a list of values. The quartile of a list of numbers is a statistical value that partially illustrates the distribution of numbers in the list.
Quartile 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!
Quartile of Numbers
Quartiles Calculator
Answers to Questions (FAQ)
What is a quartile?
Quartiles (or the four quarters) are three values that separate a list of sorted numbers composed of $ n $ values $ X = \{ x_1, x_2, \dots, x_n \} $ into $ 4 $ (four) equal parts: the first quartile (25%, the lower quartile), the second quartile (50%) also called the median, and the third quartile (75%, the higher quartile).
How to compute a quartile? (Definition)
Automatic method: on dCode, enter (or copy-paste) the list of numbers and click on Calculate.
Manual method: From a list of $ N $ elements sorted by ascending order, calculate $ q_1 = N / 4 $, $ q_2 = N / 2 $ and $ q_3 = 3 N / 4 $. Locate the elements of the list in position $ q_i $, the value of the element is the $ i $-th quartile.
NB: if $ q_i $ is not an integer, take the average between the element just before and the element just after. It is also possible to take the closest value in the list (less rigorous method).
Example: The list of 8 elements: 11,3,5,7,19,13,17,2 is sorted by ascending order 2,3,5,7,11,13,17,19. Its quartiles are 4, 9 and 15, this means that there are 25% of the values lower than 4 and 75% higher than 4, and that there are 25% of the values greater than 15 and 75% lower.
When to use the quartiles?
Quartiles are used to describe the dispersion of a series. If the gap between 2 quartiles is small, then many values are in this zone.
Source code
dCode retains ownership of the "Quartile of Numbers" source code. Except explicit open source licence (indicated Creative Commons / free), the "Quartile of Numbers" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Quartile 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 "Quartile of Numbers" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Quartile 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):
Quartile of Numbers on dCode.fr [online website], retrieved on 2024-12-21,
