I'd say that if your site will function at all on freebie hosting, you'll get more than enough with DH. And if you have problems here, you'll probably have problems at any shared host.
As far as stats go, I guess that would depend on the host.
If they give you access to a control panel, there should probably be a stats section in there somewhere.
You could try going to yourdomain/stats and see if that shows anything, or if you get prompted for a user name & password.
If you mean someone was hosting you on their account for free, then you would need to ask them what your stats are.
If it's a freebie host, it wouldn't hurt to ask them.
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