What is the median of the data set {6, 1, 3, 7, 5} after arranging it in order?

To find the median of the data set {6, 1, 3, 7, 5}, you first need to arrange the numbers in ascending order. When the numbers are sorted, the data set becomes {1, 3, 5, 6, 7}.

The median is the middle value in a data set when the numbers are arranged in order. Since there are five numbers in this data set, the median will be the third number. Counting from the lowest to the highest: 1 is first, 3 is second, and 5 is third.

Thus, the median of this data set is 5, as it is the middle value that divides the higher half from the lower half in the ordered list.

Recognizing this process of finding the median is essential in statistical analysis as it provides insight into the central tendency of the data.