EPDs explain the differences between animals within a breed population, the EPD is the estimated difference in performance (growth to weaning for example) when two sires are randomly mated to a group of cows, managed the same from breeding through weaning of the subsequent calf. So, 100 cows mated randomly to two bulls whose weaning epds are +40 and +60, will result in a difference at weaning of 20lbs, on average, between the two sire groups. Of course this is not how EPDs are routinely used in the purebred 'bigger, faster, better' world where EPDs are cited as a badge of honor or point of promotion.