Final answer:
The hard rock band whose 1987 best-selling album is 'Hysteria' is Def Leppard. The album's success was significant considering the media frenzy that followed drummer Rick Allen's tragic accident.
Step-by-step explanation:
The hard rock band with the best-selling album titled Hysteria released in 1987 is Def Leppard.
The album is particularly notable for being the first one completed after drummer Rick Allen lost his left arm in a car accident, an event that was widely covered in the media leading to the 'hysteria' that inspired the album's title.
Despite this tragedy, Allen continued to play with the band using a specially designed electronic drum kit.
Hysteria went on to achieve massive success, with hit songs like 'Love Bites', 'Pour Some Sugar on Me', and 'Animal' propelling it to international fame.
Def Leppard's ability to overcome such adversity and produce a record that achieved such popularity is a testament to their talent and determination.