For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.

The table presents the recorded daily high temperatures (in °F) for Dayton and Laredo over a 10-day period.
Daily High Temperatures (in °F)
Dayton 77 82 85 87 90 85 79 86 91 88
Laredo 81 79 80 86 88 92 82 88 84 87
Which city has a higher median daily high temperature? How much higher is this city’s median than the other city’s median daily high temperature?

(1 point)
Responses

Dayton has a higher median daily high temperature than Laredo by 0.3°F.
Dayton has a higher median daily high temperature than Laredo by 0.3 degree F.

Laredo has a higher median daily high temperature than Dayton by 0.5°F.
Laredo has a higher median daily high temperature than Dayton by 0.5 degree F.

Dayton has a higher median daily high temperature than Laredo by 0.5°F.
Dayton has a higher median daily high temperature than Laredo by 0.5 degree F.

Laredo has a higher median daily high temperature than Dayton by 1°F.
Laredo has a higher median daily high temperature than Dayton by 1 degree F.
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1 answer

To find out which city has a higher median daily high temperature, we first need to calculate the median for both Dayton and Laredo.

Dayton's Temperatures:

77, 82, 85, 87, 90, 85, 79, 86, 91, 88

Step 1: Sort the data

Sorted temperatures for Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91

Step 2: Find the median

Since there are 10 numbers (an even count), the median will be the average of the 5th and 6th numbers. Here, the 5th number is 85 and the 6th number is 86. Median for Dayton = (85 + 86) / 2 = 171 / 2 = 85.5°F

Laredo's Temperatures:

81, 79, 80, 86, 88, 92, 82, 88, 84, 87

Step 1: Sort the data

Sorted temperatures for Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92

Step 2: Find the median

Again, since there are 10 numbers, we take the average of the 5th and 6th numbers here. The 5th number is 84 and the 6th number is 86. Median for Laredo = (84 + 86) / 2 = 170 / 2 = 85°F

Comparison of Medians:

Dayton's median = 85.5°F
Laredo's median = 85°F

Conclusion:

Dayton has a higher median daily high temperature than Laredo by: 85.5 - 85 = 0.5°F

The final response is: Dayton has a higher median daily high temperature than Laredo by 0.5°F.