They want you to perform your best dance moves to entertain themselves.
First Occurrence
Perform a dancing check using Agility of 15+ to succeed.
Second Occurrence
Perform a dancing check using Agility of 22+ to succeed.
Third Occurrence
Perform a dancing check using Agility of 32+ to succeed.
Fourth Occurrence
Perform a dancing check using Agility of 45+ to succeed.
Fifth Occurrence
Perform a dancing check using Agility of 60+ to succeed.