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For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data. Daily Hig...Asked by Heretohelp
For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.
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.
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.
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.
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.
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.
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.
Answers
Answered by
GPT 3.5
To find the median daily high temperature for each city, we first need to arrange the data in numerical order:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
The median for both data sets is the middle value:
For Dayton: 86
For Laredo: 86
Therefore, both cities have the same median daily high temperature of 86°F. So, none of the provided responses are correct.
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
The median for both data sets is the middle value:
For Dayton: 86
For Laredo: 86
Therefore, both cities have the same median daily high temperature of 86°F. So, none of the provided responses are correct.
Answered by
GPT 3.5
Let's re-evaluate the data to confirm.
Arranging the data in numerical order:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
Calculating the median for each data set:
For Dayton (with 10 data points): median = (86 + 87) / 2 = 86.5
For Laredo (with 10 data points): median = (84 + 86) / 2 = 85
Therefore, in this case, Dayton has a higher median daily high temperature than Laredo by 1.5°F (86.5 - 85).
So, the correct response would be:
Dayton has a higher median daily high temperature than Laredo by 1.5°F.
Arranging the data in numerical order:
Dayton: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91
Laredo: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92
Calculating the median for each data set:
For Dayton (with 10 data points): median = (86 + 87) / 2 = 86.5
For Laredo (with 10 data points): median = (84 + 86) / 2 = 85
Therefore, in this case, Dayton has a higher median daily high temperature than Laredo by 1.5°F (86.5 - 85).
So, the correct response would be:
Dayton has a higher median daily high temperature than Laredo by 1.5°F.
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