To find the range of the given data, we need to follow these steps:
1. Identify the Densities:
The densities for each trial are given as:
- Trial 1: [tex]\( 8.9 \, g/cm^3 \)[/tex]
- Trial 2: [tex]\( 8.6 \, g/cm^3 \)[/tex]
- Trial 3: [tex]\( 8.7 \, g/cm^3 \)[/tex]
2. Determine the Maximum and Minimum Values:
- Maximum density: [tex]\( 8.9 \, g/cm^3 \)[/tex]
- Minimum density: [tex]\( 8.6 \, g/cm^3 \)[/tex]
3. Calculate the Range:
The range is the difference between the maximum and minimum values.
[tex]\[
\text{Range} = \text{Maximum density} - \text{Minimum density}
\][/tex]
[tex]\[
\text{Range} = 8.9 \, g/cm^3 - 8.6 \, g/cm^3
\][/tex]
[tex]\[
\text{Range} = 0.3 \, g/cm^3
\][/tex]
So, the range of the data is [tex]\( 0.3 \, g/cm^3 \)[/tex].
Therefore, the correct answer is:
A. [tex]\( 0.3 \, g/cm^3 \)[/tex]
