My brother is a fourth year and applying right now for residency in radiology.
His Board I was 239, but he was in the second half of his class (40th-60th%) in grades. He is not at a "big name" school.
He has 15 interviews at places/branches of Harvard, Cleveland Clinic, Columbia, Brown, etc. Applied to 20.
Who knows. Board scores are a biggie, and then after that it seems like letters, grades, and school name matter?
He is stressed out, but I guess it is like applying to medical school. You will fit somewhere, and if you have the desire, grades, and competency, you will get in somewhere. In the worse case scenario he says that he will take the scramble or a year inbetween, but overall he thinks that he is a competitive app. Overall, I would say that it is a competitive residency.