> For the complete documentation index, see [llms.txt](https://ai.nuhil.net/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://ai.nuhil.net/statistics/box-and-whisker-plots.md).

# Box and Whisker Plots

{% hint style="success" %}
Box plot is a tool to visually represent the range, interquartile range, median, mode, outliers, and all quartiles.
{% endhint %}

![A box & whisker plot shows a "box" with left edge at Q1 , right edge at Q3 , the "middle" of the box at Q2 (the median) and the maximum and minimum as "whiskers".](/files/-LzIpbuM2e_5oIzFzSyF)

### Outliers in Box and Whisker Plots

The standard definition for an outlier is **the number which is less than Q1 or greater than Q3 by more than 1.5 times the interquartile range** ( IQR=Q3−Q1 ).

![An outlier is any number less than Q1−(1.5×IQR) or greater than Q3+(1.5×IQR).](/files/-LzIq5z8p0_-Y96PapO7)