Supervisor skills discussed in the various snippets of text include communication (both written and verbal), decision-making, interpersonal skills, adaptability, time management, conflict resolution, leadership, critical thinking, coaching and feedback, change management, listening, delegation, problem-solving, ethical skills, and management skills. These skills are essential for a supervisor to effectively lead and manage a team of employees. They also help the supervisor to understand and evaluate their staff and make decisions for the betterment of the team. Some important soft skills for a supervisor include empathy, interpersonal skills, and decision-making. Overall, these skills are crucial for a supervisor to be successful in their role.