A set of 5 distinct positive integers has median 10 and mean 12. The largest is 18 and the smallest is 5. What could the third-largest be?
- Acheck_circle
Cannot be determined uniquely
- B
13
- C
14
- D
10
Explanation
Sum = 60. Known: 5, 10, 18 = 33. Two unknowns sum to 27, with one < 10 and one > 10. Multiple solutions exist (e.g., 6 and 21? — must be ≤ 18, so 13/14 etc.). Multiple values possible.