To determine the mode of a given dataset, follow these steps:
1. List the elements and their frequencies:
- Count how many times each number appears in the dataset.
For the dataset [tex]\(10, 10, 10, 19, 19, 15, 4, 3\)[/tex]:
- [tex]\(10\)[/tex] appears 3 times
- [tex]\(19\)[/tex] appears 2 times
- [tex]\(15\)[/tex] appears 1 time
- [tex]\(4\)[/tex] appears 1 time
- [tex]\(3\)[/tex] appears 1 time
2. Identify the most frequent element:
- The mode is the number with the highest frequency.
From our frequency counts:
- [tex]\(10\)[/tex] appears 3 times, which is more than any other number in the dataset.
Thus, the mode of the dataset [tex]\(10,10,10,19,19,15,4,3\)[/tex] is [tex]\(\boxed{10}\)[/tex].
