Continuous-Valued Attributes

For example, we might have a Temperature attribute with a continuous value.
Create a new boolean attribute that is true when the value is less than $c$ (the threshold).
To pick $c$ sort the examples according to the attribute. Identify adjacent examples that differ in their target classification. Generate candidate thresholds at the midpoints.
The candidate thresholds can be evaluated by computing the information gain associate with each one.
The new discrete-valued attribute can then compete with the other attributes.