The ages, in years, of randomly selected employees are 34, 41, 28, 35, 27, 44, 48, 29, 33, and 39. Determine the mean age.(1 point)
Responses
35.8
37.8
39.8
36.8
The mean age is:
(34 + 41 + 28 + 35 + 27 + 44 + 48 + 29 + 33 + 39) / 10 = 35.8
Therefore, the answer is 35.8.
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)
Which of these is correct?
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 0.5°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 0.5°F.
To find the median, we need to order the temperatures 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
For Dayton, the median is the middle temperature, which is 86.
For Laredo, the median is the average of the two middle temperatures: (84 + 86) / 2 = 85.
Therefore, Dayton has a higher median daily high temperature than Laredo by 1°F.
The correct option is:
Laredo has a higher median daily high temperature than Dayton by 0.5°F.
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
(1 point)
Which of the following statements is true?
The cars from both companies have the same mean, median, and modal highway fuel efficiency.
The cars from Company A have a higher mean highway fuel efficiency that Company B.
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.
To compare the mean highway fuel efficiency of the two companies, we need to calculate the means:
Mean for Company A: (35 + 28 + 35 + 30 + 31 + 38 + 35 + 30) / 8 = 32.75
Mean for Company B: (29 + 33 + 36 + 27 + 34 + 34 + 34 + 25) / 8 = 31.5
Therefore, the cars from Company A have a higher mean highway fuel efficiency than Company B.
To compare the modal highway fuel efficiency, we need to find the most frequent value in each data set:
Mode for Company A: 35
Mode for Company B: 34
Therefore, the cars from Company A have a higher modal highway fuel efficiency than Company B.
To compare the median highway fuel efficiency, we need to order the data sets:
Company A: 28, 30, 30, 31, 35, 35, 35, 38
Company B: 25, 27, 29, 33, 34, 34, 34, 36
For Company A, the median is the middle value, which is 32.5.
For Company B, the median is the average of the middle two values, which is (33 + 34) / 2 = 33.5.
Therefore, the cars from Company B have a higher median highway fuel efficiency than Company A.
Therefore, the correct statement is:
The cars from Company A have a higher modal and mean highway fuel efficiency compared to Company B, but the cars from Company B have a higher median highway fuel efficiency than Company A.
which one?
The cars from both companies have the same mean, median, and modal highway fuel efficiency.
The cars from Company A have a higher mean highway fuel efficiency that Company B.
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 statement that is true is:
The cars from Company A have a higher modal and mean highway fuel efficiency compared to Company B, but the cars from Company B have a higher median highway fuel efficiency than Company A.
The randomly selected delivery times (in minutes) of two fast food restaurants are as follows.
1: 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 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 exactly one modal delivery time of 40 minutes.
Neither data set contains an outlier.
The statement that is false is:
Both fast food restaurants have exactly one modal delivery time of 40 minutes.
To find the mode(s), we need to count the number of times each value appears in each data set:
For restaurant 1:
37 appears twice
38 appears twice
39 appears once
40 appears twice
41 appears once
42 appears once
45 appears once
For restaurant 2:
37 appears twice
38 appears once
40 appears twice
41 appears twice
46 appears once
Therefore, both data sets have multiple modes. Restaurant 1 has modes of 37, 38, and 40, while Restaurant 2 has modes of 37, 40, and 41.
So, the correct statement should be:
Both fast food restaurants have the same median delivery time of 40 minutes and the same mean delivery time of 40.1 minutes. Neither data set contains an outlier.
which exact one?
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 exactly one modal delivery time of 40 minutes.
Neither data set contains an outlier.