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?
To find the median daily high temperature for each city, we first need to sort the temperatures in ascending order.
For Dayton:
77, 79, 82, 85, 85, 86, 87, 88, 90, 91
The median temperature for Dayton is (85 + 86) / 2 = 85.5°F
For Laredo:
79, 80, 81, 82, 84, 86, 87, 88, 88, 92
The median temperature for Laredo is (84 + 86) / 2 = 85°F
Therefore, the city with the higher median daily high temperature is Dayton, with a median temperature of 85.5°F. The difference between Dayton's median temperature and Laredo's median temperature is 0.5°F.