Final answer:
The mode of the data set (2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 11, 13, 12, 9, 9, 9, 2, 7, 7, 7) is 7, as it appears most frequently, with a total of 10 occurrences.
Step-by-step explanation:
The mode of a set of data is the value that appears most frequently. Looking at the provided data set (2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 11, 13, 12, 9, 9, 9, 2, 7, 7, 7), we can determine the mode by counting how many times each number appears.
- Number 2 appears 6 times
- Number 7 appears 10 times
- Number 9 appears 7 times
- Number 11 appears 2 times
- Number 13 appears 1 time
- Number 12 appears 1 time
The number that appears most frequently is 7, which appears 10 times. Therefore, the mode of this data set is 7.