What is the median of the following set of numbers: 3, 7, 2, 9, 5?

To find the median of the set of numbers 3, 7, 2, 9, and 5, the first step is to arrange the numbers in ascending order. When these numbers are sorted, they appear as: 2, 3, 5, 7, 9.

The median is defined as the middle value when the numbers in a set are ordered from least to greatest. In this case, there are five numbers in total, which is an odd quantity. The middle number can be found by identifying the third number in the ordered list, as it will be directly in the center.

In the ordered set (2, 3, 5, 7, 9), the third number is 5. Therefore, the median of this set of numbers is 5, which corresponds to the answer provided. This highlights the process of finding the median and emphasizes the importance of organizing data in ascending order before determining the central value.