Which of the following types of insulation is best known for its sound-deadening qualities?

The best choice for its sound-deadening qualities is acoustic texture ceilings. This type of insulation is specifically designed to absorb sound and reduce noise transmission between rooms. It is often composed of materials that enhance acoustical performance, such as foam or other soft materials that minimize reverberation and echoes. Acoustic texture ceilings are commonly used in spaces where sound control is essential, such as classrooms, auditoriums, and recording studios.

In contrast, the other types of insulation mentioned primarily serve different functions. Vermiculite insulation is mainly recognized for its thermal resistance and fire-retardant properties rather than sound absorption. Shredded-styrene insulation is often used for thermal management and lacks significant sound-deadening attributes. Cellulose insulation provides some sound absorption due to its density and fibrous nature, but it does not match the specific design purpose of acoustic texture ceilings for controlling sound effectively. Thus, acoustic texture ceilings stand out as the best option for sound-deadening qualities among the choices provided.