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.
The false statement is:
Both fast food restaurants have exactly one modal delivery time of 40 minutes.
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 exact 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.
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.
that is not an exact answer. which one of the ones i have given you is correct
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 exact 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 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."
The points scored by a football team are 17, 23, 15, 21, 7, and 13. What is the range?
To find the range, we need to subtract the lowest value from the highest value:
Highest value: 23
Lowest value: 7
Range: 23 - 7 = 16
Therefore, the range is 16.
A poll is conducted to determine who is most likely to win the election for town mayor. Two random samples of 500 residents each are polled. The data is as follows.
Candidate A Candidate B Total
Sample 1 346 154 500
Sample 2 248 252 500
What percentage of the total polled residents would vote for Candidate A as the town mayor?
(1 point)
To find the total number of residents who would vote for Candidate A, we need to add the number of residents who voted for Candidate A in each sample:
Sample 1: 346
Sample 2: 248
Total: 346 + 248 = 594
To find the percentage of total polled residents who would vote for Candidate A, we need to divide the number of residents who would vote for Candidate A by the total number of residents polled and then multiply by 100:
(594/1000) x 100% = 59.4%
Therefore, 59.4% of the total polled residents would vote for Candidate A as the town mayor.
To determine the average height of trees in a national forest, 10 trees are randomly selected. Their heights in feet are 85.4, 87.6, 87.1, 85.6, 85.9, 85.3, 84.9, 83.7, 84.0, and 85.2. To ensure the accuracy of the data, another set of 10 trees is randomly selected. Their heights are 87.1, 88.0, 84.2, 85.3, 86.5, 84.2, 83.2, 84.1, 85.2, and 87.3. What is the difference between the mean heights of the trees of these two random samples?
To find the mean height for the first sample of trees, we add the heights and divide by the total number of trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.28
To find the mean height for the second sample of trees, we add the heights and divide by the total number of trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.92
To find the difference in mean heights, we subtract the mean of the first sample from the mean of the second sample:
85.92 - 85.28 = 0.64
Therefore, the difference in mean heights is 0.64 feet or 0.64 * 12 = 7.68 inches.
that is incorrect
I apologize for the error. Let me check again:
To find the mean height for the first sample of trees, we add the heights and divide by the total number of trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.28
To find the mean height for the second sample of trees, we add the heights and divide by the total number of trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.92
To find the difference in mean heights, we subtract the mean of the first sample from the mean of the second sample:
85.92 - 85.28 = 0.64
Therefore, the difference in mean heights is 0.64 feet or 0.64 * 12 = 7.68 inches.
The numbers of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40.
Determine the range of this data set.(1 point)
Responses
35.8 miles
18 miles
9 miles
21 miles
To find the range, we need to subtract the lowest value from the highest value:
Highest value: 49
Lowest value: 28
Range: 49 - 28 = 21
Therefore, the range of this data set is 21 miles.
So, the correct option is:
21 miles.
Which of the following data sets has the smallest range?(1 point)
Responses
{148, 145, 117, 148, 199, 172}
{50, 30, 10, 0, 80, 100}
{37, 19, 40, 54, 75, 68}
{324, 318, 367, 312, 389, 337}
To find the smallest range, we need to calculate the range of each data set:
Range of {148, 145, 117, 148, 199, 172} = 199 - 117 = 82
Range of {50, 30, 10, 0, 80, 100} = 100 - 0 = 100
Range of {37, 19, 40, 54, 75, 68} = 75 - 19 = 56
Range of {324, 318, 367, 312, 389, 337} = 389 - 312 = 77
Therefore, the data set with the smallest range is {37, 19, 40, 54, 75, 68}.
So, the correct option is:
{37, 19, 40, 54, 75, 68}.
The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
Almond, Pistachio,Cashew Walnuts Total
Sample 1 40 62 63 35 200
Sample 2 43 64 61 32 200
Based on the two samples, what percentage of the people prefer cashew nuts?
(1 point)
Responses
31%
31.5%
62%
30.5%
To find the percentage of people who prefer cashew nuts, we need to add the number of people who prefer cashew nuts in each sample and then divide by the total number of people polled and multiply by 100:
Number of people who prefer cashew nuts:
Sample 1: 63
Sample 2: 61
Total number of people polled: 200 + 200 = 400
(63 + 61) / 400 x 100% = 31%
Therefore, 31% of the people prefer cashew nuts.
Hence, the correct option is:
31%.
The following data sets represent the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies. Which company has cars that are more consistent in highway fuel efficiency?
Car Company A: 35, 28, 35, 30, 31, 36, 35, 30
Car Company B: 29, 33, 40, 27, 34, 34, 34, 25
(1 point)
which exact one is correct?
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
Cars from both companies have equally consistent highway fuel efficiency.
To determine which company has cars that are more consistent in highway fuel efficiency, we need to calculate the range for each data set:
Range for Company A: 35 - 28 = 7
Range for Company B: 40 - 25 = 15
Since the range for Company A is lower than that of Company B, this means that the highway fuel efficiency for cars from Company A is less spread out and more consistent than that of Company B.
Therefore, the correct statement is:
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?
1 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40(1 point)
Responses
Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.
The delivery times of both restaurants are equally consistent.
Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.
Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.