To find the difference in the ranges of the hourly wages between Restaurant 1 and Restaurant 2, we first need to calculate the range for each restaurant.
Range is calculated as the difference between the maximum and minimum values in a set of numbers.
For Restaurant 1:
- Wages: $16.25, $15.99, $14.50, $16.00, $17.10, $15.50, $16.00
- Maximum wage: $17.10
- Minimum wage: $14.50
Range for Restaurant 1: \[ \text{Range} = \text{Max} - \text{Min} = 17.10 - 14.50 = 2.60 \]
For Restaurant 2:
- Wages: $18.15, $14.99, $17.75, $16.99, $15.45, $15.50, $17.05
- Maximum wage: $18.15
- Minimum wage: $14.99
Range for Restaurant 2: \[ \text{Range} = \text{Max} - \text{Min} = 18.15 - 14.99 = 3.16 \]
Now, we find the difference between the ranges: \[ \text{Difference} = \text{Range of Restaurant 2} - \text{Range of Restaurant 1} = 3.16 - 2.60 = 0.56 \]
Therefore, the difference in the ranges of the hourly wages of these two restaurants is $0.56.