Create a diverse set of five math problems that require students to apply concepts of probability and statistics, ensuring that at least one problem involves calculating probabilities, one problem requires analyzing a data set, and another utilizes statistical measures such as mean, median, and mode; also, provide constructive feedback emphasizing the importance of using multiple strategies for problem-solving.
Create a set of five math problems that require students to use probability and statistics, specifically focusing on real-world applications such as surveys, games, and risk assessment scenarios.
“Suggest engaging and interactive activities that will guide my high school students in understanding the following probability and statistics topics: [Insert topics here], while ensuring the activities cater to diverse learning styles and encourage critical thinking.”