Mediterranean draw offers many advantages including improved arrow control (keeping it on the shelf) and flexing the top and bottom limbs of the bow more evenly. This is a very common shooting style and many great shooters such as Fred Bear, Howard Hill, and Byron Ferguson drew/draw their bows this way. To shoot Mediterranean style you will place 1 finger above the nocking point of your arrow and 2 fingers below.
Apache Draw is a common way to start out and is a great style for beginners as it allows you to get your eye down closer over the arrow. Apache draw sacrifices a bit of arrow control and nocking speed but functionally it is probably the easiest way to shoot a traditional bow accurately. To shoot Apache style you will place 3 fingers below the nocking point of your arrow.