What is the median of the following set of numbers: 5, 3, 8, 9, 2?

To find the median of a set of numbers, you first need to arrange the numbers in ascending order. For the set 5, 3, 8, 9, 2, when we sort them, we get 2, 3, 5, 8, 9.

The median is the middle value of a data set. Since there are five numbers in this sorted list, the median will be the third number, as it occupies the central position. In this case, the third number is 5. Therefore, the median of the set is indeed 5, which is the correct answer.

This process of finding the median is crucial for understanding data distribution and provides insights into the central tendency of the data. The choices that don't result in 5 signify either numbers from the set or calculations that do not align with the definition of the median. By focusing on the correct sorting and selection process, we can see why the answer is accurate and valid.