For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.
Daily High Temperatures (in °
77
F)
Dayton
82
87
90
86
79
91
88
85
Laredo
80
92
82
88
88
81
86
84
87
79
85
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?
O Laredo has a higher median daily high temperature than Dayton by 1°F
O Laredo has a higher median daily high temperature than Dayton by 0.5°F
O Dayton has a higher median daily high temperature than Laredo by 0.5°F
O Dayton has a higher median daily high temperature than Laredo by 0.3°F
Laredo has a higher median daily high temperature than Dayton by 0.5°F.
To find the median, we first need to arrange the temperatures in increasing order for each city:
Dayton: 77, 79, 82, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 85, 86, 87, 88, 88, 92
The median temperature for Dayton is the middle value, which is 87, and the median temperature for Laredo is 85.5.
Therefore, Laredo has a higher median daily high temperature than Dayton by 0.5°F.