Final answer:
The mode of the given set of numbers (2, 5, 6, 12, 14, 12, 6, 2, 5, 3, 14, 5) is 5, as it appears most frequently in the set.
Step-by-step explanation:
To find the mode of the given set of numbers, which represents the number of times each machine in a car factory needed to be fixed within the last year (2, 5, 6, 12, 14, 12, 6, 2, 5, 3, 14, 5), we need to identify the number that appears most frequently in the set.
- First, organize the numbers in ascending order:
- Next, count the frequency of each number:
- 2 appears 2 times.
- 5 appears 3 times.
- 6 appears 2 times.
- 12 appears 2 times.
- 14 appears 2 times.
Identify the number with the highest frequency:
The number 5 appears 3 times, which is more frequent than any other number in the set.
Therefore, the mode of the given set of numbers is 5.