Final answer:
The task appropriate for delegation and useful for professional development that involves gathering data for problem-solving is conducting surveys and interviews.
Step-by-step explanation:
The task appropriate for delegation and useful for professional development that can be described as gathering data in order to give employees experience in problem solving is conducting surveys and interviews. By conducting surveys and interviews with customers and stakeholders, employees can gather valuable data and insights that will help them analyze the problem and come up with effective solutions. This task allows employees to develop their problem-solving skills while also obtaining real-world feedback and input from relevant parties.