R, 77 7676 72 bytes
Edit: -4 bytes thanks to Robin Ryder
sum((d=scan()/10-69)>=c(1411,129:52,3.5,2-1,0d)&d<=c(20d,1714.5,1512,1411,129.5,118:74,52.5,30))
Fairly naive solution, but benefits from R's automatic vectorization and its :
sequence operator.