What is the mean, median, and mode for this set of data: 14,10 , $16,14,11$ ? A. $14,11,14$ B. $12,13,14$ C. $13,14,13$ D. $13,14,14$

Step 1 ：Given the set of data: 14, 10, 16, 14, 11.

Step 2 ：Calculate the mean by adding all numbers and then dividing by the number of numbers.

Step 3 ：Calculate the median by finding the middle number in a sorted, ascending or descending, list of numbers.

Step 4 ：Calculate the mode by finding the number that occurs most frequently in a data set.

Step 5 ：The mean is \(13\), the median is \(14\), and the mode is \(14\).

Step 6 ：Final Answer: The mean, median, and mode for this set of data: 14,10 , $16,14,11$ are $13,14,14$ respectively. So, the correct option is \(\boxed{\text{(D) } 13,14,14}\).