Problem

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. $13,14,14$

Answer

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Answer

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 \(\boxed{\text{(D) } 13,14,14}\).

Steps

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 \(\boxed{\text{(D) } 13,14,14}\).

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