For 10 consecutive days, Anthony recorded daily high temperatures in Dayton and Laredo. The table shows the data.
Dayton: 77,85,87,90,85,79,86,91,88
Laredo: 81,79,80, 86,88,92,88,84,87
Answer options:
A). Laredo has a higher median daily high temperature than Dayton by 1°F
B). Laredo has a higher median daily high temperature than Dayton by 0.5°F
C). Dayton has a higher median daily high temperature than Laredo by 0.5° F
D). Dayton has a higher median daily high temperature than Laredo by 0.3°F
To find the median daily high temperature for each city, we first need to order the temperatures from lowest to highest.
For Dayton:
77, 79, 85, 85, 86, 87, 88, 90, 91
For Laredo:
79, 80, 81, 84, 86, 87, 88, 88, 92
Since we have an odd number of temperatures for both cities, the median will be the middle number when ordered.
For Dayton, the median is 86°F
For Laredo, the median is 87°F
Therefore, the correct answer is:
C). Dayton has a higher median daily high temperature than Laredo by 0.5°F.