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)
• 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 1°F.
• Dayton has a higher median daily high temperature than Laredo by 0.5° F.
• Laredo has a higher median daily high temperature than Dayton by 0.5°F.
To find the median daily high temperature for each city, 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 both cities have 10 days of recorded temperatures, the median will be the average of the 5th and 6th values in the sorted list.
For Dayton: Median = (86 + 87) / 2 = 86.5
For Laredo: Median = (84 + 86) / 2 = 85
Therefore, Dayton has a higher median daily high temperature than Laredo by 1°F. The correct answer is:
• Dayton has a higher median daily high temperature than Laredo by 1°F.