Moderators have a view of the site's statistics, but they cannot share the specifics. So, I'm starting this post to keep track of the evolution of our statistics over time. Please feel free to update it every now and then:
Date Qs/day Visits/day A. ratio Total users Avid users
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2012-07-04 4.6 448
2012-10-04 4.0 700
2012-11-12 4.0 994 2.5 1986
2012-11-19 3.7 1005 2.6 2048 184
2012-11-28 5.2 1068 2.6 2123 190
2012-12-03 5.7 1068 2.6 2154 192
2012-12-10 3.9 1093 2.6 2194 195
2012-12-17 4.4 1109 2.5 2275 200
2013-01-01 3.1 765 2.6 2361 207
2013-01-07 3.5 772 2.6 2402 209
2013-01-14 4.9 1056 2.6 2471 212
2013-01-21 6.1 1308 2.6 2549 216
2013-01-28 6.0 1392 2.6 2640 222
2013-02-04 6.1 1397 2.7 2786 235
2013-02-11 6.1 1452 2.7 2835 237
2013-02-18 5.5 1312 2.7 2903 240
2013-02-25 4.5 1361 2.7 2978 244
2013-03-04 4.9 1449 2.7 3101 248
2013-03-11 6.2 1533 2.7 3173 254
2013-03-18 6.5 1557 2.7 3240 262
2013-03-26 5.8 1653 2.7 3324 271
2013-04-02 5.0 1651 2.7 3486 283
2013-04-08 5.7 1621 2.7 3545 288
2013-04-15 6.0 1572 2.7 3612 292
2013-04-22 6.6 1497 2.7 3684 293
2013-04-29 6.9 1485 2.7 3749 296
2013-05-14 4.5 1458 2.7 3861 303
2013-06-10 5.7 2008 2.7 4142 318
2013-06-18 4.6 2008 2.7 4198 322
I use the Area51 page as source for those stats.
Graph of the visits/day:

Evolution of the number of users:

Questions per day:

And here's the Quantcast estimate of site traffic, with a sparkline for the last 6 months, mean number of visitors per month, and highest and lowest daily visitor count in the last 6 months: