Some wave characteristics depend upon how the wave is produced. other wave characteristics depend upon the properties of the medium. which one wave characteristic is solely dependent upon the properties of the medium and independent of the way that the wave is produced?

Waves have the characteristic that they can of transmit energy. This characteristic depend only on the medium and its properties. Electro-mechanical waves do not need medium to transfer its energy, is capable of transmitting it through empty space (vacuum).

Mechanical waves require a medium in order to transport their energy. Sound waves are an example of mechanical way. They can not travel through vacuum.