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The Lower fence is the "lower limit" and the Upper fence is the "upper limit" of data, and any data lying outside these defined bounds can be considered an outlier.

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What is the outlier in 2 3 18 18 18 19 20 20 21 21?

There are no universally agreed determinants are outliers. Commonly used measure are Lower Outer Fence : Q1 - 3*IQR Lower Inner Fence : Q1 - 1.5*IQR Upper Inner Fence : Q3 + 1.5*IQR Upper Outer Fence : Q3 + 3*IQR where Q1 and Q3 are the lower and upper quartiles and IQR = Q3 - Q1. Values further than the outer fence are called extreme outliers while those between the inner and outer fences are mild outliers. On that basis the values 2 and 3 are both mild outliers.


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