For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.
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.
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.
Dayton has a higher median daily high temperature than Laredo by 0.5°F.
To find the median daily high temperature for each city, we first need to arrange the data in ascending order:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
For Dayton, the median is the middle value, which is 86.
For Laredo, the median is the average of the two middle values, which are 84 and 86. The average is (84+86)/2 = 85.
Therefore, Dayton has a higher median daily high temperature than Laredo by 1°F (86 - 85 = 1).
The correct answer is:
Dayton has a higher median daily high temperature than Laredo by 1°F.