A dataset contains 5 distinct positive integers: {5, 8, 12, 15, 20}. If a new integer, X, is added to this dataset such that the new median of the 6 integers is 11, what is the value of X?

✓ Correct Answer: Option B

The original sorted set is {5, 8, 12, 15, 20}. With 6 integers, the median is the average of the 3rd and 4th values. If X=10 is added, the sorted set becomes {5, 8, 10, 12, 15, 20}. The median is (10+12)/2 = 11.