Understanding boxplot whisker thresholds
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In Matlab's boxplot: the whiskers are calculated as
Upper whisker: q3 + w × (q3 – q1) & Loweer whisker: q1 – w × (q3 – q1). Although
This by design makes the whiskers symmetric. In which case there should be symmetric whiskers everywhere. However their documentation of boxplot (https://www.mathworks.com/help/stats/boxplot.html#bu5f8g7-4) has this:
If one were to assume that the whisker gets capped by the maximum or minimum value in the dataset then a box plot with outliers on top and bottom should have symmetric whiskers. If there are outlier on one side, that side should have the longest whisker.
These should have had equal length but for the left one the bottom whisker is longer( Image is again from box plot documentation).
Also, the below image should have had longer whisker on the side of the outlier.
According to here:https://www.mathworks.com/help/stats/box-plots.html
They are implying that the whisker length correspond to the extreme values within the whisker range. Any clarification of their logic in plotting will be helpful.
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