Final answer:
The difference between the median and the mode is 1.
Step-by-step explanation:
To find the difference between the median and the mode, we first need to find the median and the mode for the given data set. The median is the middle value when the data set is arranged in ascending order.
In this case, the data set is: 16, 18, 22, 22, 22, 34, 36, 46, 48, 54. The median is the average of the two middle values, which in this case is (22 + 22) / 2 = 22.
The mode is the value that appears most frequently in the data set. In this case, 22 appears three times, which is more than any other value, so the mode is 22.
The difference between the median and the mode is 22 - 22 = 0. Therefore, the correct answer is D. 1.