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

Question

The table presents the recorded daily high temperatures (in °F) for Dayton and Laredo over a 10-day period.
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)
Responses

Laredo has a higher median daily high temperature than Dayton by 1°
F.
Laredo has a higher median daily high temperature than Dayton by 1 degree F.

Laredo has a higher median daily high temperature than Dayton by 0.5°
F.
Laredo has a higher median daily high temperature than Dayton by 0.5 degree F.

Dayton has a higher median daily high temperature than Laredo by 0.5°
F.
Dayton has a higher median daily high temperature than Laredo by 0.5 degree F.

Dayton has a higher median daily high temperature than Laredo by 0.3°
F.

Answer 1

To find the medians of the daily high temperatures for Dayton and Laredo, we'll first list the temperatures in ascending order for each city.

Dayton temperatures:
77, 82, 85, 87, 90, 85, 79, 86, 91, 88
Sorting these:
77, 79, 82, 85, 85, 86, 87, 88, 90, 91

Since there are 10 numbers, the median will be the average of the 5th and 6th numbers in the sorted list:
Median for Dayton = (85 + 86) / 2 = 85.5 °F

Laredo temperatures:
81, 79, 80, 86, 88, 92, 82, 88, 84, 87
Sorting these:
79, 80, 81, 82, 84, 86, 87, 88, 88, 92

Again, since there are 10 numbers, the median will be the average of the 5th and 6th numbers:
Median for Laredo = (84 + 86) / 2 = 85 °F

Now, comparing the two medians:

• Median for Dayton = 85.5 °F
• Median for Laredo = 85 °F

Dayton has a higher median temperature than Laredo by:
85.5 - 85 = 0.5 °F

The correct response is:
Dayton has a higher median daily high temperature than Laredo by 0.5 degree F.