Ignore my last post, my brain was up my are or something, anyway...
We are going to do it this way:
Roll four six-sided dice six times. From each roll drop the lowest die, and add the remaining numbers together. Assign these to Strength (STR), Dexterity (DEX), Constitution (CON), Wisdom (WIS), Intelligence (INT), and Charisma (CHA). How you should assign these differs on each class. Melee classes will benefit far more from a high STR then they would WIS, whereas classes like the mage would be the opposite. Afterwards, use the table in the Player's Hand Book (PHB) to find the modifiers of each score and record these. (If you're mathematically inclined, Subtract ten from each ability score, and then divide the total by two (rounding down)).
For example: You roll 4 six sided die, and you get 4 2 3 6 for your rolls. Drop the 2, and add up 4, 3, and 6 (13). Repeat 5 more times. Now, let's say our rolls ended up as being 13, 16, 11, 9, 12, and 18. We've selected the Fighter class for our character, and we're human. Since being human doesn't affect stats, we can just assign rolls right off. We've selected to assign our rolls to our stats as follows: Str 18, Dex 13, Con 16, Int 12, Wis 11, and Cha 9. Because of this, Our modifiers would be 4, 1, 3, 1, 0, and -1. Modifiers adjust die rolls that have to do with each statistic. (For example, when you hit someone, greater strength causes you do do more damage, hence the 4 modifier to the random damage die roll.)