To determine the range of the given data, follow these step-by-step instructions:
1. Identify the values in the data set: We have the masses from three trials.
- Trial 1 Mass: [tex]\(25 \, g\)[/tex]
- Trial 2 Mass: [tex]\(36 \, g\)[/tex]
- Trial 3 Mass: [tex]\(32 \, g\)[/tex]
2. Find the maximum value in the data set: Look for the highest value among the data points.
- The maximum mass is [tex]\(36 \, g\)[/tex].
3. Find the minimum value in the data set: Look for the lowest value among the data points.
- The minimum mass is [tex]\(25 \, g\)[/tex].
4. Calculate the range: The range is the difference between the maximum value and the minimum value in the data set.
[tex]\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\][/tex]
Substituting the values we found:
[tex]\[
\text{Range} = 36 \, g - 25 \, g = 11 \, g
\][/tex]
Thus, the range of the data is [tex]\(11 \, g\)[/tex].
Therefore, the correct answer is:
B. [tex]\(11 \, g\)[/tex]
