This webpage says:
Inferential Statistics - Deductive Approach
Descriptive Statistics - Inductive Approach
But I doubt it. If I understand correctly,
Inferential Statistics is "given some data, find the probability model that generates the data", so it is a specific-to-general logic process, and therefore it is induction.
Descriptive Statistics is "given some data, represent the data in another way", so it is specific-to-specific process of changing data's representation. So it is neither induction or deduction.
Am I wrong?