Given the set of data: 5, 6, 6, 8, 9, 10, 12, what is the median?

To determine the median of a data set, it is essential to understand that the median is the middle value when the numbers are arranged in order. In this case, the data set provided is already in ascending order: 5, 6, 6, 8, 9, 10, 12.

Since there are seven numbers in this dataset, which is an odd number, the median will be the value at the center position. To find that, you can apply the formula for the position of the median in an ordered set, which is given by (n + 1) / 2, where n is the total number of data points.

In this case:

• n = 7

• The position of the median = (7 + 1) / 2 = 4

The fourth number in this ordered list is 8. Thus, the median of this set of numbers is indeed 8.

This choice stands as the correct answer because it represents the middle value in an ordered sequence, accurately reflecting the central tendency of the dataset.