The numbers of goals scored by a hockey team in 12 matches are 8, 12, 9, 12, 7, 9, 12, 10, 9, 12, 8, 11. What is the mode?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 12
The mode is the value that occurs most often. Count how many times each value occurs.
7 occurs 1 time, 8 occurs 2 times, 9 occurs 3 times, 10 occurs 1 time, 11 occurs 1 time, 12 occurs 4 times
12 occurs most often, so the mode is 12.
Why the other options are incorrect
Option (1) 10 — Incorrect. 10 occurs only once.
Option (2) 8 — Incorrect. 8 occurs only 2 times, fewer than 12 (which occurs 4 times).
Option (3) 9 — Incorrect. 9 occurs only 3 times, fewer than 12 (which occurs 4 times).