Explanation:

- First, let's find the median. Arrange the numbers: 2, 3, 3, 4, 7, 7, 8, 9, 10, 12, 15, 16, 20, 23. There are 14 numbers, so the median is the average of the 7th and 8th numbers: (8 + 9)/2 = 8.5.

- Next, calculate the range. Subtract the smallest number (2) from the largest (23): 23 - 2 = 21.

- To find the mean of the median and range, calculate the average of 8.5 and 21: (8.5 + 21)/2 = 14.75.

- Option 2: 14.75 is correct.