Well, from what I understand, equipment was not that standardized; however, similar troop types did tend to be clustered together, and they did tend to have the same basic kinds of weapons. Archers, for example, would likely carry daggers, shortswords and hatchets because their primary focus was on their bows; milita would tend to use spears because it was the simplest, cheapest and easiest weapon to make and use, not to mention polloxes for the same reasons; men-at-arms and seargents would have a little more variety, but they still had the same "range" of weaponry, this being spears and polloxes, and swords (though to a lesser extent.) And the Knights, being the wealthiest, would have the best weaponary as well, weaponary which would be focused on being able to combat other armoured men, which meant swords, and later warhammers and maces.

Sure, the weapons weren't all the same, but the general representation isn't so bad.