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 0.5°F.
Dayton has a higher median daily high temperature than Laredo by 0.5°F.
Laredo has a higher median daily high temperature than Dayton by 1°F.
Dayton has a higher median daily high temperature than Laredo by 0.3°F.
To find the median, we need to first arrange the temperatures in order:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91 (in ascending order)
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92 (in ascending order)
For Dayton, the middle two temperatures are 86 and 87, so the median temperature is (86 + 87) / 2 = 86.5°F.
For Laredo, the middle two temperatures are 84 and 86, so the median temperature is (84 + 86) / 2 = 85°F.
Therefore, Laredo has a higher median daily high temperature than Dayton by 1°F.
The correct response is:
Laredo has a higher median daily high temperature than Dayton by 1°F.