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. 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. 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 1°F.
To find the median daily high temperature for each city, we first need to arrange the temperatures in order from least to greatest:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
Since there are 10 temperatures for each city, the median will be the average of the 5th and 6th temperatures (since 5 and 6 add up to 10).
For Dayton, the median is (86 + 87) / 2 = 86.5°F
For Laredo, the median is (84 + 86) / 2 = 85°F
Therefore, Laredo has a higher median daily high temperature than Dayton by 1.5°F.