From my knowledge of League of Legends from friends, if it is your first time calibrating into ranked, then you will only be calibrated at about gold 3 (?). Assuming you've played solo and won all of your 10 calibration games for ranked.
This changes when lets say you play with a friend who is platinum. Lets say, for this example, you play with him until level 30 and you win all of your calibration games, you won't get gold 3 (assuming) but you would get a higher rank.
Again, this also can change if you have played ranked before. Lets say, in Season 1 I was ranked gold 3 (because I had one all of my games), next season I might be calibrated to Platinum because of my previous calibration (Assuming that I didn't become worse and won the majority of my games).