An update: I had a two-part conversation with an Apple technician, via phone. I did a full factory restore. The low connectivity still remained. She sent me via email, a diagnostic to respond to, for her to evaluate the iPad. She said the numbers looked fine - so clearly she had nothing further to add.
She checked with the nearby store, to see if there were iPad 3- 32gb in stock, to swap out for mine, and scheduled an appointment this afternoon at 3:30pm.
My concerns are:
1. I will get another yellow-tint iPad 3
2. The wifi will still be weak as I move away from the router
3. There will be a hotspot, as others seems to be commenting on, which I have not experienced.
4. Or any combination of the above.
Stay tuned .....