It's a tough question as to whether light is a wave or a particle..
The statement is FALSE. Not all types of waves need a medium to propagate. Light can travel without a medium.
Extra Information:
Light is a longitudinal wave, sound is transverse.
Longitudinal waves do not need a medium.
Transverse waves need a medium.
This is why, for example, in the vacuum of space, light travels from stars, but sound does not.