Even some official data are samples rather than complete surveys so are subject to random error. Newspaper articles often have many references to probability as well as statistics. The statistician has a responsibility to educate and teach beyond the narrow bounds of a sanitised statistics. Even EDA is not content free. Look at how learners learn - build on their prior experience.
Concepts tend to build rather than come as a whole.
The curriculum approach should be cyclical to build up in this natural way. Give students opportunities to discuss ideas and be challenged by new ones. Help them to learn to reason with uncertainty. Make problem solving an integral part of the course. We need to change our assessment procedures to match our aims, to encourage good content and good balanced learning.