To find the mode of a list of numbers, you need to identify the number that appears most frequently in the list. Here is a step-by-step approach to solve this problem:
1. List the Numbers:
[tex]\[
49, 3, 33, 91, 65, 9, 45, 40, 49, 89, 64, 98, 66, 10, 92
\][/tex]
2. Count the Frequency of Each Number:
- 49 appears 2 times
- 3 appears 1 time
- 33 appears 1 time
- 91 appears 1 time
- 65 appears 1 time
- 9 appears 1 time
- 45 appears 1 time
- 40 appears 1 time
- 89 appears 1 time
- 64 appears 1 time
- 98 appears 1 time
- 66 appears 1 time
- 10 appears 1 time
- 92 appears 1 time
3. Determine the Number with the Highest Frequency:
- From the frequency counts, we see that the number 49 appears more frequently than any other number, with a frequency of 2.
4. Identify the Mode:
[tex]\[
\text{Mode} = 49
\][/tex]
So the mode of the given list of numbers is [tex]\( \boxed{49} \)[/tex].
