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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 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. 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 0.3° F. Dayton has a higher median daily high temperature than Laredo by 0.3 degree F. Skip to navigation

1 answer

To determine which city has a higher median daily high temperature, we need to calculate the median for both Dayton and Laredo.

Step 1: Organize and List the Data

Dayton Temperatures: 77, 82, 85, 87, 90, 85, 79, 86, 91, 88
Laredo Temperatures: 81, 79, 80, 86, 88, 92, 82, 88, 84, 87

Step 2: Sort the Data

Sorted Dayton Temperatures: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Sorted Laredo Temperatures: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92

Step 3: Calculate the Median

The median is the middle value of a sorted list. Since there are 10 numbers in each dataset (an even number), the median is the average of the 5th and 6th values.

Dayton:
5th value = 85
6th value = 86
Median = (85 + 86) / 2 = 85.5

Laredo:
5th value = 84
6th value = 86
Median = (84 + 86) / 2 = 85.0

Step 4: Compare the Medians

  • Median of Dayton = 85.5°F
  • Median of Laredo = 85.0°F

Step 5: Determine the Difference

  • Difference = 85.5 - 85.0 = 0.5°F

Conclusion

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

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