To find the range of a set of numbers, we need to subtract the smallest number in the set from the largest number in the set.
The given set of numbers is: [tex]\(2, 5, 8, 11, 14\)[/tex].
1. Identify the smallest number in the set:
- The smallest number is [tex]\(2\)[/tex].
2. Identify the largest number in the set:
- The largest number is [tex]\(14\)[/tex].
3. Subtract the smallest number from the largest number:
[tex]\[
14 - 2 = 12
\][/tex]
Therefore, the range of the numbers [tex]\(2, 5, 8, 11, 14\)[/tex] is [tex]\(12\)[/tex].
The correct answer is:
C. 12