> For the complete documentation index, see [llms.txt](https://stephanosterburg.gitbook.io/scrapbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://stephanosterburg.gitbook.io/scrapbook/math/statistics-and-probability/outliers-definition.md).

# Outliers Definition

1 1 6 ***13*** 13 14 14 **14** 15 15 16 ***18*** 18 18 19

IQR = Q3 - Q1 = 18 - 13 = 5

**Q1 - 1.5 \* IQR > outliers > Q3 + 1.5 \* IQR**

Q1 outlier = 13 - (1.5 \* 5) = 5.5

Q3 outlier = 18 + 1.5 \* 5 = 25.5

so the two one's are outliers.