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 a higher mean highway fuel efficiency that Company B.
The cars from Company A have a higher mean highway fuel efficiency that 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 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 Company A have a higher median highway fuel efficiency than Company B.
The randomly selected delivery times (in minutes) of two fast food restaurants are as follows.
Fast Food 1 Fast Food 2
42 40
38 37
37 40
39 41
38 38
40 46
45 41
41 37
40 40
Which of the following statements is false?
(1 point)
Responses
Both fast food restaurants have exactly one modal delivery time of 40 minutes.
Both fast food restaurants have exactly one modal delivery time of 40 minutes.
Neither data set contains an outlier.
Neither data set contains an outlier.
Both fast food restaurants have the same median delivery time of 40 minutes.
Both fast food restaurants have the same median delivery time of 40 minutes.
Both fast food restaurants have the same mean delivery time of 40 minutes.
Both fast food restaurants have the same mean delivery time of 40 minutes.
Use the image to answer the question.
A bar graph shows the number of hours spent on math homework versus the number of students. The horizontal axis shows the time in hours ranging from 1 to 5 in increments of 1. The vertical axis shows the number of students ranging from 0 to 10 in increments of 1. The data with time in hours, followed by the number of students is as follows: 1 to 8, 2 to 6, 3 to 4, 4 to 2, and 5 to 1.
The graph shows the number of hours randomly selected students spent on math homework. What is the mean number of hours students spent on math homework?
(1 point)
Responses
1 hour
1 hour
1.4 hours
1.4 hours
9 hours
9 hours
2.14 hours
To find the mean number of hours students spent on math homework, we need to calculate the sum of all the hours and divide it by the total number of students.
(1 x 8) + (2 x 6) + (3 x 4) + (4 x 2) + (5 x 1) = 8 + 12 + 12 + 8 + 5 = 45
There are a total of 8 + 6 + 4 + 2 + 1 = 21 students.
Mean = Sum of hours / Total number of students = 45 / 21 ≈ 2.14 hours
Therefore, the mean number of hours students spent on math homework is 2.14 hours.
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.
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 0.3°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.
To find the median, we need to arrange the temperatures in ascending 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 is the middle value in the list. In Dayton, the middle value is 86 (there are 5 values below and 5 values above). In Laredo, the middle value is also 86.
Therefore, both Dayton and Laredo have the same median daily high temperature. The statement "Dayton has a higher median daily high temperature than Laredo" or "Laredo has a higher median daily high temperature than Dayton" would be false.