The mode of a set of numbers is the value that appears most frequently in the set.
Given data: \( 2, 2, 4, 6, 8, 4, 14, 4, 6, 16, 4 \)
Let's count the frequency of each number:
- \( 2 \) appears 2 times.
- \( 4 \) appears 4 times.
- \( 6 \) appears 2 times.
- \( 8 \) appears 1 time.
- \( 14 \) appears 1 time.
- \( 16 \) appears 1 time.
Since \( 4 \) appears the most frequently (4 times), it is the mode.
Thus, the mode is 4.