What is the mode of the data 23, 27, 23, 31, 27, 23, 35, 27, 23, 31?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 23
The mode is the value that occurs most often. Count how many times each value occurs.
23 occurs 4 times, 27 occurs 3 times, 31 occurs 2 times, 35 occurs 1 time
23 occurs most often, so the mode is 23.
Why the other options are incorrect
Option (1) 31 — Incorrect. 31 occurs only 2 times, fewer than 23 (which occurs 4 times).
Option (2) 35 — Incorrect. 35 occurs only once.
Option (3) 27 — Incorrect. 27 occurs only 3 times, fewer than 23 (which occurs 4 times).