I have some questions about boxplots in matplotlib:
Question A. What do the markers that I highlighted below with Q1, Q2, and Q3 represent? I believe Q1 is maximum and Q3 are outliers, but what is Q2?
Question B How does matplotlib identify outliers? (i.e. how does it know that they are not the true max
and min
values?)
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Answer
Here’s a graphic that illustrates the components of the box from a stats.stackexchange answer. Note that k=1.5 if you don’t supply the whis
keyword in Pandas.
The boxplot function in Pandas is a wrapper for matplotlib.pyplot.boxplot
. The matplotlib docs explain the components of the boxes in detail:
Question A:
The box extends from the lower to upper quartile values of the data, with a line at the median.
i.e. a quarter of the input data values is below the box, a quarter of the data lies in each part of the box, and the remaining quarter lies above the box.
Question B:
whis : float, sequence, or string (default = 1.5)
As a float, determines the reach of the whiskers to the beyond the first and third quartiles. In other words, where IQR is the interquartile range (Q3-Q1), the upper whisker will extend to last datum less than Q3 + whis*IQR). Similarly, the lower whisker will extend to the first datum greater than Q1 – whis*IQR. Beyond the whiskers, data are considered outliers and are plotted as individual points.
Matplotlib (and Pandas) also gives you a lot of options to change this default definition of the whiskers:
Set this to an unreasonably high value to force the whiskers to show the min and max values. Alternatively, set this to an ascending sequence of percentile (e.g., [5, 95]) to set the whiskers at specific percentiles of the data. Finally, whis can be the string ‘range’ to force the whiskers to the min and max of the data.