How do you calculate the mode in a data set of {2, 3, 4, 4, 5, 5, 5, 6}?

To determine the mode of a data set, you need to identify the value that appears most frequently. In the given data set {2, 3, 4, 4, 5, 5, 5, 6}, we can count the occurrences of each value:

• The number 2 appears once.

• The number 3 appears once.

• The number 4 appears twice.

• The number 5 appears three times.

• The number 6 appears once.

From this count, it is clear that the number 5 appears the most frequently, with a total of three occurrences. Therefore, the mode is 5, as it is the number that shows up more than any other value in the set.

This reasoning highlights that the mode is defined as the value that appears with the highest frequency, and in this case, it's evident that 5 meets that criterion perfectly.