To find the range of Student 1's results, we'll follow these steps:
1. List the distances diffused for Student 1:
The distances in millimeters (mm) for Student 1 are given as:
[tex]\[
3.25, 3.17, 3.26, 3.64, 3.44
\][/tex]
2. Identify the maximum and minimum values:
- The maximum value in the list is [tex]\(3.64\)[/tex] mm.
- The minimum value in the list is [tex]\(3.17\)[/tex] mm.
3. Calculate the range:
The range is found by subtracting the minimum value from the maximum value:
[tex]\[
\text{Range} = \text{Maximum} - \text{Minimum}
\][/tex]
Substituting the identified values:
[tex]\[
\text{Range} = 3.64 - 3.17
\][/tex]
4. Perform the subtraction:
[tex]\[
3.64 - 3.17 = 0.47 \text{ mm}
\][/tex]
Thus, the range of Student 1's results is [tex]\(0.47\)[/tex] mm. Therefore, the correct answer is:
D. 0.47