What is the mode of the set {3, 1, 4, 4, 5, 2}?

The mode of a set is defined as the value that appears most frequently within that set. In the given set {3, 1, 4, 4, 5, 2}, we can count how many times each number appears:

• The number 1 appears once.
• The number 2 appears once.

• The number 3 appears once.
• The number 4 appears twice.
• The number 5 appears once.

Among all the numbers, 4 has the highest frequency, appearing a total of two times, while all other numbers appear only once. Therefore, the mode of the set is 4, as it is the value that occurs most frequently. This is why this answer is correct.