To find out which city has a higher median daily high temperature, we first need to sort the daily high temperatures for both Dayton and Laredo, then find the median for each city.
Dayton Daily High Temperatures: 77, 82, 85, 87, 90, 85, 79, 86, 91, 88
Sorted: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
To find the median for Dayton (10 numbers, so the median will be the average of the 5th and 6th numbers): 5th number: 85 6th number: 86
Median for Dayton: \[ \text{Median}_{\text{Dayton}} = \frac{85 + 86}{2} = \frac{171}{2} = 85.5 \text{ °F} \]
Laredo Daily High Temperatures: 81, 79, 80, 86, 88, 92, 82, 88, 84, 87
Sorted: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
To find the median for Laredo (10 numbers, so the median will also be the average of the 5th and 6th numbers): 5th number: 84 6th number: 86
Median for Laredo: \[ \text{Median}_{\text{Laredo}} = \frac{84 + 86}{2} = \frac{170}{2} = 85 \text{ °F} \]
Comparison of the Medians:
- Median for Dayton: 85.5 °F
- Median for Laredo: 85 °F
Now, we calculate the difference: \[ 85.5 - 85 = 0.5 \text{ °F} \]
So, Dayton has a higher median daily high temperature than Laredo by 0.5 °F.
Answer: Dayton has a higher median daily high temperature than Laredo by 0.5° F.