Cats vs bows

In crop worth 1 catapult = 10 and one archer = 2 so that means 1 catapult = 5 archers correct? So 5x the archers atrib = same attack/defense but 100 something more health. So the only difference there would be health speed and range ? Correct ?

Usually, a person needs a 10:1 to 13:1 ratio of archers to cats to kill a cat, depending on attributes