The active score captures how active you were compared to if you were completely sedentary all day. Your score will be 0 if you were sedentary, and typically a 3-digit number if you were active.
You may prefer the active score over calories burned, because the active score just captures your level of activity and is not dependent on your height and weight, as calories burned is.
The Active Score is a rough translation of your average METs for the day (METs = Active Score x .001 + 1)