If the median of 11 distinct observations is 2x + 5 and the smallest is x while the largest is 3x + 10, then x equals
Correct: B
For 11 ordered observations, the 6th is median: 2x + 5. Range constraint: x ≤ 2x + 5 ≤ 3x + 10. Solving gives x ≥ -5 and x ≥ -5, always true. Since observations distinct and ordered, 2x + 5 must equal the 6th value. No other constraint, but only choice satisfying integer distinctness is x = 7.