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

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

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.

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.

:)

1 answer

To determine which city has a higher median daily high temperature, let's first calculate the median for both Dayton and Laredo.

Dayton Temperatures: 77, 82, 85, 87, 90, 85, 79, 86, 91, 88

First, we need to arrange these numbers in ascending order: 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:

  • 5th number: 85
  • 6th number: 86

Median for Dayton = (85 + 86) / 2 = 85.5°F

Laredo Temperatures: 81, 79, 80, 86, 88, 92, 82, 88, 84, 87

Arranging these numbers in ascending order: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92

With 10 numbers, the median will likewise be the average of the 5th and 6th numbers:

  • 5th number: 84
  • 6th number: 86

Median for Laredo = (84 + 86) / 2 = 85°F

Comparison of Medians:

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

Now we find out how much higher Dayton’s median is than Laredo’s median: 85.5°F - 85°F = 0.5°F

Thus, the final conclusion is: Dayton has a higher median daily high temperature than Laredo by 0.5°F.