To calculate the range of the data set [tex]$4, 5, 6, 8, 11, 12$[/tex], follow these steps:
1. Identify the smallest and largest values in the data set:
- The smallest value is [tex]\(4\)[/tex].
- The largest value is [tex]\(12\)[/tex].
2. Subtract the smallest value from the largest value:
- [tex]\(12 - 4\)[/tex]
3. Calculate the result:
- [tex]\(12 - 4 = 8\)[/tex]
Therefore, the correct description is to subtract [tex]\(12 - 4\)[/tex].
### Explanation:
The range of a data set is defined as the difference between the largest and the smallest values. This measure gives an indication of how spread out the values in the data set are.
Given the values in the data set, the smallest is [tex]\(4\)[/tex] and the largest is [tex]\(12\)[/tex]. Subtracting the smallest value from the largest value yields the range:
[tex]\[ 12 - 4 = 8 \][/tex]
Thus, the correct operation is to subtract [tex]\(12 - 4\)[/tex], resulting in a range of [tex]\(8\)[/tex].
