# Box and Whisker Plots

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Box plot is a tool to visually represent the range, interquartile range, median, mode, outliers, and all quartiles.
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![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".](https://2552912007-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LzGBVuquaFNrwdmJna0%2F-LzIp3r-4O0R-KvV3rGi%2F-LzIpbuM2e_5oIzFzSyF%2FScreen%20Shot%202020-01-23%20at%2012.17.17%20PM.png?alt=media\&token=85541899-cf03-450e-b77e-a2ff05ffc3c0)

### 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).](https://2552912007-files.gitbook.io/~/files/v0/b/gitbook-legacy-files/o/assets%2F-LzGBVuquaFNrwdmJna0%2F-LzIp3r-4O0R-KvV3rGi%2F-LzIq5z8p0_-Y96PapO7%2FScreen%20Shot%202020-01-23%20at%2012.19.27%20PM.png?alt=media\&token=1e96843b-60a6-41b9-bedd-32b30d4b8d76)