Answer :

To find the mode of the set of numbers [tex]\(82, 16, 94, \)[/tex] and [tex]\(82\)[/tex], follow these steps:

1. List the numbers in the dataset:
- The numbers given are [tex]\(82, 16, 94, \)[/tex] and [tex]\(82\)[/tex].

2. Count the frequency of each number:
- [tex]\(82\)[/tex] appears [tex]\[2\][/tex] times.
- [tex]\(16\)[/tex] appears [tex]\[1\][/tex] time.
- [tex]\(94\)[/tex] appears [tex]\[1\][/tex] time.

3. Identify the number with the highest frequency:
- [tex]\(82\)[/tex] has the highest frequency, appearing [tex]\[2\][/tex] times.

Thus, the mode of the dataset [tex]\((82, 16, 94, 82)\)[/tex] is [tex]\(82\)[/tex], and it appears [tex]\[2\][/tex] times.