Actually, the logic is sound. Right now, the calculation is 215 bodies / 1 institute, so an average of 215 bodies per institute. In order to make your statement

Actually, the logic is sound. Right now, the calculation is 215 bodies / 1 institute, so an average of 215 bodies per institute. In order to make your statement true, you would already need to find more than 100 institutes without bodies in the yard to bring the average down to 2 bodies per institute, and then find at least another 40 to bring the average below 1.5, in order to make your "the average institute doesn't have children (plural) buried in the yard" true.