In the previous lab module, you checked for class imbalance in the Sex column and when you discovered that the Cleveland CAD dataset had many more male patients than female, you undersampled the men to restore the balance.
Checking for class imbalance is even more important with multiclass classification datasets, because now we have many distinct label classes to predict, and we want to make sure we have the same number of records for each class. This will ensure that the fully trained model is unbiased.
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