Medieval: Total War/Movement speed

Slow For Infantry

 * Walking: 4, Running: 8, Charging: 10

Very slow, has to run to keep up with other infantry on attack. Slow units are best used for defensive battles where the enemy comes to you.

Average for Infantry

 * Walking: 6, Running: 10, Charging: 11

Most infantry moves at this speed.

Fast for Infantry

 * Walking: 6, Running: 12, Charging: 13

Fast units are able to run down (or run away from) other infantry very well. Can cut down routers as well, but not as well as cavalry.

Slow for Cavalry

 * Walking: 9, Running: 14, Charging: 16

This is the speed of camels and heavily armored Kataphraktoi.

Note that the latter actually travel at 9/12/16, which is likely a typo.

Average for Cavalry

 * Walking: 9, Running: 20, Charging: 22

The speed of most cavalry units in the game.

Fast for Cavalry
oooooohhhooooooooohhhoooooooohhhhhhhooooohhhhhhh The fastest speeds in the game. Nothing can catch fast cavalry.
 * Walking: 9, Running: 24, Charging: 26