To determine the range of a data set, you need to subtract the smallest value from the largest value in the set. Let's follow the steps to calculate the range for the given data set:
1. Identify the smallest value in the data set: The given data set is [tex]\(4, 5, 6, 8, 11, 12\)[/tex]. The smallest value is [tex]\(4\)[/tex].
2. Identify the largest value in the data set: The largest value is [tex]\(12\)[/tex].
3. Subtract the smallest value from the largest value: Subtracting [tex]\(4\)[/tex] from [tex]\(12\)[/tex] gives us [tex]\(12 - 4\)[/tex].
Therefore, the range of this data set is [tex]\(8\)[/tex].
So, the correct option is:
Subtract [tex]\(12 - 4\)[/tex].
