Explanation:

- First, arrange the data in ascending order: 5, 7, 7, 8, 9, 9, 10, 11, 11, 13, 15, 16, 19, 23.

- Range: Subtract the smallest value (5) from the largest (23) to get 18.

- Median: In the sorted list, there are 14 numbers. The median is the average of the 7th and 8th numbers: (10 + 11) / 2 = 10.5.

- Calculate the mean of the range and median: (18 + 10.5) / 2 = 14.25.

Given Options:

- Option 1: 15.25

- Option 2: 13.5

- Option 3: 14.25

- Option 4: 14.5

Option 3 is correct.