Question

For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.

The table presents the recorded daily high
temperatures (in °F) for Dayton and Laredo
over a 10-day period
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?
A. Dayton has a higher median daily high temperature than Laredo by 0.3°F.
B. Dayton has a higher median daily high temperature than Laredo by 0.5°F.
C. Laredo has a higher median daily high temperature than Dayton by 0.5°F.
D. Laredo has a higher median daily high temperature than Dayton by 1°F.

Answer 1

Dayton’s temperatures sorted: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91 → median = (5th+6th)/2 = (85+86)/2 = 85.5°F.

Laredo’s temperatures sorted: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92 → median = (84+86)/2 = 85°F.

Dayton’s median is 0.5°F higher. Answer: B.