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

Question

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?
A. Laredo has a higher median daily high temperature than Dayton 1 F
B. Laredo has a higher median daily high temperature than Dayton 0.5 F
C. Dayton has a higher median daily high temperature than Dayton 0.5 F
D. Dayton has a higher median daily high temperature than Dayton 0.3 F

Answer 1

B. Laredo has a higher median daily high temperature than Dayton 0.5 F

To find the median, we first need to arrange the temperatures 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

Since there are 10 temperatures in each set, the median will be the average of the 5th and 6th temperatures in each set:

For Dayton: (86 + 87) / 2 = 86.5
For Laredo: (84 + 86) / 2 = 85

Therefore, Laredo has a higher median daily high temperature than Dayton by 0.5 F.