As far as I'm aware, the stats page on Area 51 is the only way for participants of new SE communities to see some stats on how their site is doing.
What I would like to see is a more extended "How is our community doing?" page directly on the site in question. Some metrics already exist:
- Questions per day
- Percentage answered
- Avid and total users
- Answer ratio
- Visits per day
In addition, a dedicated stats page would contain real-time info like
- Geographical distribution of users
- Intensity of activity during various times of the day (aka when is the best time to ask/bump a question)
- Historical development of the existing metrics since the site started as suggested here
- Notable external links pointing to contributions on the site - what better motivation is there for a community than getting attention from outside, and seeing it?
- Questions with the most views
Effectively, this is a request for a light-weight analytics suite for SE communities - maybe accessible as a privilege for 500 or 1k rep users?
It would be a lot of work, but I think it would be very good to have for a growing community, and a necessity in the long term - avid users of a community deserve to know these stats; in light of the ever-growing number of SE sites, asking for this kind of data manually is unrealistic. So is querying the data dump.
Maybe this could even be solved through Google Analytics, giving eligible users automatic restricted access to the site's GA account, enabling them to see selected metrics. No idea.