The desireable ones probably sat on the market about 3 weeks until getting reduced. If a decent house hasnt sold in my hood within 21 days the price is almost certainly off and the agents around here know that. Unless it is just a slow time of year most homes will get get reduc ed after 21 days.
The less desireable ones have fundamental issues (under power lines, 8 feet of backyard, overlooking a 4 to 6 lane county highway, bad floorplan etc). How long they take depends upon how undesirable and how willing/able seller was to reduce to the point that someone who really wants in but cant afford a good one ccan and is willing to pay just to be here. I would say in my hood 20% undesireable, 50% desireable, 20% very desireable, 10% off the charts desireable.
I will also throw in that REO were 8% of annual sales and Short Sales were 8% also.
Not sure what you are trying to prove here but that about covers it.