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
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 0.3°F.
Dayton has a higher median daily high temperature than Laredo by 0.3 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 0.5°F.
To find the median daily high temperature, we need to arrange the numbers 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
The median for Dayton is the average of the two middle numbers, which are 86 and 87. So the median for Dayton is (86 + 87)/2 = 86.5°F.
The median for Laredo is the average of the two middle numbers, which are 82 and 84. So the median for Laredo is (82 + 84)/2 = 83°F.
Therefore, Laredo has a higher median daily high temperature than Dayton by 0.5°F.