How serious is a broken index finger tip?

So I was playing basketball with some homies, i was going for a lay up then i got fouled, i thought i had just jammd my finger realy bad, but my finger tip is numb and wen i apply pressure to it its very painfull, almost like a shock, i hate going to the doctor so i waited it out a few days, then i just went to tha store and bought a finger splint, i figured thats all the dr would be able to do for me... how long will it take to heal? and should i do anything else?