How about "average time between posts"?
The average will just be one number (based on the total number of posts since registration). A "burst post" graph could be interesting to show the distribution of time between posts. Say:
-number of posts within less than 2 minutes: x
-number of posts within 2-5 minutes: y
-5-10 minutes: z
-10-30 minutes: a
-30-120 minutes: b
-120-720 minutes: c
You catch my drift

Here is an example of what I could come up with:

It gets super complex really quick when talking about distribution. This is the best I can do as my knowledge in stats is limited. Hopefully I can figure something out that looks better but this is at least something to look at.
Edit: Added legend so it's a bit more readable.