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?
A. Dayton has a higher median daily high temperature than Laredo by 0.5°F.
B. Dayton has a higher median daily high temperature than Laredo by 0.3°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.
To find the median daily high temperature for each city, we first need to arrange the temperatures in ascending order.
For Dayton:
77 79 82 85 85 86 87 88 90 91
The median temperature is the middle value, which is 86.
For Laredo:
79 80 81 82 84 86 87 88 88 92
The median temperature is the average of the two middle values, which are 84 and 86. So, the median temperature for Laredo is (84 + 86) / 2 = 85.
Therefore, Dayton has a higher median daily high temperature than Laredo by 1°F. The correct answer is:
D. Laredo has a higher median daily high temperature than Dayton by 1°F.
are you sure
I apologize for the error in the previous response. Let's double-check the calculations:
For Dayton:
- Temperatures in ascending order: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
- Median temperature is the middle value, which is 86.
For Laredo:
- Temperatures in ascending order: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
- Median temperature is the average of the middle two values, which are 84 and 86. So, the median temperature for Laredo is (84 + 86) / 2 = 85.
Therefore, Dayton has a higher median daily high temperature than Laredo by 1°F. The correct answer is:
B. Dayton has a higher median daily high temperature than Laredo by 1°F.