Use 'range over' when describing detailed visual searching of large areas or groups. Her gaze ranged over the vast landscape, taking in every detail.
Pro Tip 2/3
Mental Exploration
'Range over' can reflect exploring a variety of ideas or memories in one's mind. His mind ranged over various memories as he tried to recall the event.
Pro Tip 3/3
Metaphorical Use
It can be used metaphorically to describe extensive coverage of non-physical spaces. The documentary ranged over a spectrum of opinions on the subject.