The whole point of youth programs is to give youth a safe, positive growing environment. This question is to make sure that you've done some research about the company, for this question you can bring in key words in their mission statement. Some centers focus on technology for example, so it would be beneficial to talk about the importance of active youth members would have in the technology setting.

If you don't know a lot about the mission of the center, you can talk about how youth centers help youth with education, emotional support, etc. You don't have to be completely focuse on the mission and keep things general.