If you live downtown in Brickell, that's for a luxury condo with a bay view, in-unit washer/dryer, parking spot, etc. I have friends that live downtown with less amenities and in a safe area but not so nice apartments that pay around $1200.
Less than a year ago, I had a nice 900sf 1br highrise (garage parking, 2 spaces) in Coral Gables (near downtown) for $1600.
I live now about 45-50 minutes from downtown in Pembroke Pines and pay $1850 for a 3br townhouse (it's a nicer one).
I'd check Zillow if you are truly interested but yeah these numbers seem off, for Miami anyway.
edit, by nice I mean title floors (no carpet at all), in unit washer/dryer and a decent kitchen. My townhouse has all granite/stainless steel appliances and is newer (2008) construction. The condo I had in Coral Gables was newer (2005?), had key entry (for garage and pedestrian entrance), had on-site gym, pool, business center and a security guard. I was a 5 minute walk to Miracle Mile (shopping and restaurants). Commons areas were well maintained and cleaned everyday, painted and or deep cleaned every few months (to the point it got annoying! - but that's a good thing, right?).