When working with a selection set of elements, the properties dialog displays "Varies". Add a horizontal attribute table layout (rows for each unique element, columns for common attribute fields) for properties of selection sets to show the properties/attributes for all elements.
edit *Have you looked at the "Details" panel? I just discovered it today and think it covers what you need. *
Could be useful for a small selection set, but how big would the table be for the example you gave in the image? Would those 59 values be of any use?
I can see situations where you might be trying to find the one or two "fence posts" for example that aren't in alignment with rest (causing the "varies"). But in that situation I would just enter the value I want them all to have into the "varied" spot. The bad post's get pulled back in alignment.
If it's just a random selection of objects I expand the tree a bit more and use the arrow up and down key to browse through the individual values.
Maybe your asking for a way to export all the values instead?