Yeah, there's lots of different interpretations for the average. The predictive one works well (expected value), another one is where the "balancing point" woul

Yeah, there's lots of different interpretations for the average. The predictive one works well (expected value), another one is where the "balancing point" would be if you had physical weights at those coordinates. If you had 1kg weights at distances 2 3 and 10 (sum of 15), you should put the fulcrum of a lever at 5 to keep the set balanced. (Torque on right: 10 - 5 = 5. Torque on left: 5 - 2 = 3, and 5 - 3 = 2, for a total of 5). Different sized masses? You literally take the weighted average :).