To determine the range of the data, we follow these steps:
1. Identify the data points given: According to the table, the lengths recorded in the experiments are 8.4 cm, 8.2 cm, and 8.5 cm.
2. Determine the maximum value in the dataset: Among the values 8.4, 8.2, and 8.5, the largest value is 8.5 cm.
3. Determine the minimum value in the dataset: Among the values 8.4, 8.2, and 8.5, the smallest value is 8.2 cm.
4. Calculate the range: The range of a dataset is found by subtracting the minimum value from the maximum value.
So, we perform the subtraction:
[tex]\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \][/tex]
Substituting the values:
[tex]\[ \text{Range} = 8.5 \, \text{cm} - 8.2 \, \text{cm} \][/tex]
[tex]\[ \text{Range} = 0.3 \, \text{cm} \][/tex]
Therefore, the range of the data is [tex]\( 0.3 \)[/tex] cm.
