Create Points at Area Centroids

The user can create new point features from the centroids of selected area features, or from the vertices of selected line and area features by selecting one or more areas or lines, and then right-clicking and selecting the Create New Points at Centroids of Selected Area(s) option under the Advanced Feature Creation Options menu.

This will bring up the Area Centroid Options dialogue.

Choosing Create a Single Point for Grouped Areas will specify that an interior point will be used even if an area centroid is outside of the area boundary.  

Use Move Centroid Point if Outside Area Boundary to average the centroids, creating a single center of mass point for grouped areas rather than a separate point for each area.