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) bot
The following data set represents the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies.
Car Company A: 35, 28, 35, 30, 31, 38, 35, 30
Car Company B: 29, 33, 36, 27, 34, 34, 34, 25
Which of the following statements is true?
(1 point)
Responses
The cars from Company A have higher median highway fuel efficiency than Company B.
The cars from Company A have higher median highway fuel efficiency than Company B.
The cars from both companies have the same mean, median, and modal highway fuel efficiency.
The cars from both companies have the same mean, median, and modal highway fuel efficiency.
The cars from Company B have higher modal highway fuel efficiency than Company A.
The cars from Company B have higher modal highway fuel efficiency than Company A.
The cars from Company A have a higher mean highway fuel efficiency that Company B.
The cars from Company A have a higher mean highway fuel efficiency that Company B. bot
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)
The correct statement is: The cars from Company A have higher median highway fuel efficiency than Company B.
To find the median daily high temperature for each city, we can arrange the temperatures in ascending order and determine the middle value.
For Dayton:
77, 82, 85, 87, 90, 85, 79, 86, 91, 88
Arranging the temperatures in ascending order:
77, 79, 82, 85, 85, 86, 87, 88, 90, 91
The median temperature for Dayton is therefore the middle value, which is 86.
For Laredo:
81, 79, 80, 86, 88, 92, 82, 88, 84, 87
Arranging the temperatures in ascending order:
79, 80, 81, 82, 84, 86, 87, 88, 88, 92
The median temperature for Laredo is therefore the middle value, which is 86.
Both Dayton and Laredo have the same median daily high temperature of 86. Therefore, no city has a higher median than the other, and the difference in median temperatures is 0.
To find the median daily high temperature for each city, we need to arrange the temperatures from lowest to highest and then find the middle value.
For Dayton, when we arrange the temperatures from lowest to highest, we get: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91.
Since there are 10 temperatures in total, the median is the average of the two middle values. In this case, the two middle values are 86 and 87. So the median daily high temperature for Dayton is (86 + 87) / 2 = 86.5°F.
For Laredo, when we arrange the temperatures from lowest to highest, we get: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92.
Again, there are 10 temperatures in total, so the median is the average of the two middle values. In this case, the two middle values are 84 and 86. So the median daily high temperature for Laredo is (84 + 86) / 2 = 85°F.
Comparing the medians, we see that the median daily high temperature for Dayton is 86.5°F and for Laredo is 85°F. Therefore, Dayton has a higher median daily high temperature.
To find the difference in medians, we subtract the median of Laredo from the median of Dayton: 86.5 - 85 = 1.5°F. So Dayton's median is 1.5 degrees higher than Laredo's median daily high temperature.