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To find the median, we need to arrange the temperatures in order from least to greatest:
Dayton: 77 79 82 85 85 86 87 88 90 91
Laredo: 79 80 81 82 84 86 87 88 88 92
Dayton's median is the middle temperature in the ordered list, which is 86.
Laredo's median is also 86.
Therefore, both Dayton and Laredo have the same median daily high temperature, which is 86°F.