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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 values sorted $$n$$ values $$X = \{ x_1, x_2, \dots, x_n \}$$ into four equal parts: the first quartile (25%), the second quartile (50%) also called the median, and the third quartile (75%).

Example: The list of 8 elements: '11, 3,5,7,19,13,17,2 'is sorted in 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.