Final answer:
The mode is the value that occurs most frequently in a data set. In the student's case, the numbers 71 and 74 are both modes, making the data set bimodal. For the example provided with exam scores, 72 is the mode.
Step-by-step explanation:
The student is asking about finding the mode of a set of numbers. The mode is the number that occurs most frequently within a data set. In the provided data set (66, 71, 72, 77, 71, 67, 74, 74), we can see that the numbers 71 and 74 both appear twice. Since no other number appears more than once, there are two modes for this data set, which makes it bimodal. Thus, the modes are 71 and 74.
When referencing the provided example with the statistics exam scores, the mode is the number that appears most frequently in that list. By examining the data (50, 53, 59, 59, 63, 63, 72, 72, 72, 72, 72, 76, 78, 81, 83, 84, 84, 84, 90, 93), we can determine that 72 is the mode since it occurs five times, which is more frequently than any other number.