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Quartile of Numbers

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.

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Quartile of Numbers -

Tag(s) : Statistics, Data Processing

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# Quartile of Numbers

## Quartiles Calculator

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.

### How to compute a quartile?

Quartiles are three values that separate a list of sorted numbers composed of $n$ values $X = \{ x_1, x_2, \dots, x_n \}$ into 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).

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.

Some calculation methods prefer to use values present in the original list even if it make the system less understandable/rigorous.

Example: The same list of 8 elements 11,3,5,7,19,13,17,2 would then have as quartiles 3 (or 5), 7 (or 11) and 13 (or 17).

### 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.

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