Question 1

Here are the number of baseball games that Dave attended over the last several seasons. 1 15 17 21 30 30 49

Accepted Answer

The correct answer is C) 21 games. The median is the middle value in a set of numbers when assorted in numerical order. In this case, the numbers are 1, 15, 17, 21, 30, 30, 49. When assorted, the numbers are 1, 15, 17, 21, 30, 30, 49. The middle value is 21. Therefore, the median number of baseball games that Dave attended over the last several seasons is 21.

Question 2

Here are the grocery bills,in dollars,for six shoppers. $$\$ 73.92$$ $$\$ 80.29$$ $$\$ 76.84$$ $$\$ 46.02$$ $$\$ 42.86$$ $$\$ 47.52$$ Round your answer to the nearest cent.

Accepted Answer

The answer of Here are the grocery bills,in dollars,for six...

Question 3

Jody got a bank statement each month that listed the balance,in dollars,in her checking account.Here are the balances on several statements. $508.73 $191.48 $535.85 $381.72 $315.88
$485.86 $533.66 $508.12 $515.49
Round your answer to the nearest cent.

Accepted Answer

To find the average balance, we add up all the balances and divide by the number of balances. Using a calculator, we get a total of $4,177.89, and there are 9 balances, so the average is $464.21. Rounding to the nearest cent, we get D) $441.87 as the closest option.

Question 4

The histograms show the cost of living,in dollars,for 32 U.S.cities.The histogram on the left shows the cost of living for the 32 cities using bins $10 wide,and the histogram on the right displays the same data using bins that are $6 wide.For which of the histograms would you most strenuously insist on using an IQR rather than a standard deviation to summarize spread? Explain.

Accepted Answer

The answer of The histograms show the cost of living,in...

Question 5

A consumer group surveyed the prices for a certain item in five different stores and reported the mean price to be $15.If you visited four of these stores and found their prices to $10,$15,$17,and $25,what is the price of this item at the fifth store?

Accepted Answer

The mean price of the item in the five stores is $15. The total price of the item in the four stores you visited is $10 + $15 + $17 + $25 = $67. Therefore, the price of the item in the fifth store must be $15 - $67 / 4 = $8.

Question 6

A small company employs a supervisor at $1400 a week,an inventory manager at $800 a week,8 stock boys at $300 a week each,and 6 drivers at $700 a week each.

Accepted Answer

The total weekly payroll for the company is calculated as follows: Supervisor: $1400 Inventory Manager: $800 Stock Boys: 8 * $300 = $2400 Drivers: 6 * $700 = $4200 Total = $1400 + $800 + $2400 + $4200 = $8800 The company employs a total of 1 (supervisor) + 1 (inventory manager) + 8 (stock boys) + 6 (drivers) = 16 employees. The average weekly salary per employee is $8800 / 16 = $550.

Question 7

The students in a math class took the Scholastic Aptitude Test.Their math scores are shown below. 567 630 350 353 503
356 354 552 470 482

Accepted Answer

461.7To find the correct answer, calculate the mean (average) of the given scores. Add all the scores together and then divide by the total number of scores. The sum of the scores is 5217, and there are 11 scores in total. Dividing 5217 by 11 gives an average of 461.7.

Question 8

John liked to order the all-you-can-eat shrimp at his favorite restaurant.Here are the number of shrimp he ate during his last five visits to the restaurant. 15,16,13,15,10

Accepted Answer

To find the average number of shrimp John ate, we need to add up the number of shrimp he ate during his five visits and then divide by 5 (the number of visits).

15 + 16 + 13 + 15 + 10 = 69

69 divided by 5 = 13.8

Therefore, the best answer for the average number of shrimp John ate during his last five visits is C) 13.8 shrimp.

Question 9

The local Tupperware dealers earned the following commissions,in dollars,last month. $1863.64 $4955.86 $3482.51
$2342.19 $4773.76 $4720.40
$2050.10 $4263.18 $4897.60
$3314.73
Round your answer to the nearest cent.

Accepted Answer

The answer of The local Tupperware dealers earned the following...

Question 10

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the scores,the mean or the median? Explain.

Accepted Answer

The data is extremely skewed to the right due to the presence of very high winnings ($1000, $5000) compared to the rest. The median is a better summary in this case because it is not affected by these extreme values, unlike the mean.

Question 11

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the spread,the standard deviation or the IQR? Explain.

Accepted Answer

The distribution of weekly winnings is likely skewed due to the high values of $700, $1000, and $5000. As such, the IQR would be a better choice for summarizing the spread of the data as it is robust to outliers and skewed distributions. On the other hand, the standard deviation assumes a normal distribution, which is unlikely to be the case for these poker winnings.

Question 12

Two sections of a class took the same quiz.Section A had 15 students who had a mean score of 80,and Section B had 20 students who had a mean score of 90.Overall,what was the approximate mean score for all of the students on the quiz?

Accepted Answer

To find the overall mean score for all students, we need to take the weighted average of the mean scores for each section. The weight for section A is 15/35 (since there are a total of 35 students), and the weight for section B is 20/35. Thus, the overall mean score is (15/35)*80 + (20/35)*90 = 85.7. Therefore, the answer is choice C, 85.7.

Question 13

Here are the amounts,in dollars,spent by six students at a university book store. $267.25 $167.42 $288.70 $148.22 $228.43 $$\$ 174.68$$ Round your answer to the nearest cent.

Accepted Answer

To find the average amount spent, add all the amounts together and divide by the number of students:  ($267.25 + $167.42 + $288.70 + $148.22 + $228.43 + $174.68) / 6 = $212.45.

Question 14

Here are the number of hours that Bill has exercised each week since he started keeping records. 8.5 6.5 7.1 8.7 6.9 8.5
8.6 7.1 7.8 8.5 8.7 7.9
8.6 6.5 6.5 8.8 6.9 8.6
Round your answer to the nearest tenth.

Accepted Answer

The average number of hours is calculated by summing all the hours and dividing by the number of weeks. The total is 132.3 hours over 17 weeks, which averages to approximately 7.8 hours per week.

Question 15

Last year,nine employees of an electronics company retired.Their ages at retirement,in years,are listed below. 55 63 64
50 60 58
67 50 50
Round your answer to the nearest tenth.

Accepted Answer

To find the average age of retirement, we need to add up all the ages and divide by the number of employees.

55 + 63 + 64 + 50 + 60 + 58 + 67 + 50 + 50 = 507

Now we divide by 9 (the number of employees):

507 ÷ 9 = 56.333...

Rounding to the nearest tenth, we get:

56.3

Therefore, the answer is D) 57.4 years old, which is the closest to 56.3.

Question 16

A particular student has a grade point average (GPA)of 2.5 in their first three courses.What is the minimum average they will need in their fourth and fifth courses so that their overall GPA on all five courses is at least 3.0?

Accepted Answer

To achieve an overall GPA of at least 3.0 across five courses, the student needs a total of 15 grade points (since 3.0 * 5 courses = 15 points). The student already has 7.5 points from the first three courses (2.5 GPA * 3 courses). Therefore, they need 7.5 more points from the next two courses, which means they need an average of 3.75 per course (7.5 points / 2 courses = 3.75).

Question 17

Last weekend police ticketed 18 men whose mean speed was 72 miles per hour,and 30 women going an average of 64 mph.Overall,what was the mean speed of all the people ticketed?

Accepted Answer

The total number of people ticketed is 18 + 30 = 48. The total distance traveled by all the people is 18 * 72 + 30 * 64 = 1296 + 1920 = 3216 miles. The mean speed of all the people is 3216 / 48 = 67 mph.

Question 18

The employees at Frank's Furniture earned the following amounts,in dollars,last week. $540.68 $186.11 $264.76 $495.65 $156.26 $533.66
Round your answer to the nearest cent.

Accepted Answer

The answer of The employees at Frank's Furniture earned the...

Question 19

Here are some scores from a recent Mathematics exam: 95.5,65.9,93.2,80.6,56.8,50,86.4,54.5,40.9,77.3,79.5,10,65.9,70.5,15,77.3,81.8,12,50,79.5,60.2.Which is a better summary of the scores,the mean or the median? Explain.

Accepted Answer

The data is skewed to the left, meaning that there are some lower scores that are dragging down the overall average. The median is less affected by extreme scores and provides a better representation of the central tendency of the data. Therefore, the median is a better summary of the scores.

Question 20

The back-to-back dotplot shows the number of fatalities per year caused by tornadoes in a certain state for two periods: 1950-1974 and 1975-1999.Explain how you would summarize the centre and spread of each of the variables depicted in the dotplots.

Accepted Answer

The answer of The back-to-back dotplot shows the number of...

Quiz 3: Displaying and Summarizing Quantitative Data

Here are the number of baseball games that Dave attended over the last several seasons. 1 15 17 21 30 30 49

Here are the grocery bills,in dollars,for six shoppers. $\$ 73.92$ $\$ 80.29$ $\$ 76.84$ $\$ 46.02$ $\$ 42.86$ $\$ 47.52$ Round your answer to the nearest cent.

Jody got a bank statement each month that listed the balance,in dollars,in her checking account.Here are the balances on several statements. $508.73 $191.48 $535.85 $381.72 $315.88 $485.86 $533.66 $508.12 $515.49 Round your answer to the nearest cent.

A consumer group surveyed the prices for a certain item in five different stores and reported the mean price to be $15.If you visited four of these stores and found their prices to $10,$15,$17,and $25,what is the price of this item at the fifth store?

A small company employs a supervisor at $1400 a week,an inventory manager at $800 a week,8 stock boys at $300 a week each,and 6 drivers at $700 a week each.

The students in a math class took the Scholastic Aptitude Test.Their math scores are shown below. 567 630 350 353 503 356 354 552 470 482

John liked to order the all-you-can-eat shrimp at his favorite restaurant.Here are the number of shrimp he ate during his last five visits to the restaurant. 15,16,13,15,10

The local Tupperware dealers earned the following commissions,in dollars,last month. $1863.64 $4955.86 $3482.51 $2342.19 $4773.76 $4720.40 $2050.10 $4263.18 $4897.60 $3314.73 Round your answer to the nearest cent.

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the scores,the mean or the median? Explain.

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the spread,the standard deviation or the IQR? Explain.

Two sections of a class took the same quiz.Section A had 15 students who had a mean score of 80,and Section B had 20 students who had a mean score of 90.Overall,what was the approximate mean score for all of the students on the quiz?

Here are the amounts,in dollars,spent by six students at a university book store. $267.25 $167.42 $288.70 $148.22 $228.43 $\$ 174.68$ Round your answer to the nearest cent.

Here are the number of hours that Bill has exercised each week since he started keeping records. 8.5 6.5 7.1 8.7 6.9 8.5 8.6 7.1 7.8 8.5 8.7 7.9 8.6 6.5 6.5 8.8 6.9 8.6 Round your answer to the nearest tenth.

Last year,nine employees of an electronics company retired.Their ages at retirement,in years,are listed below. 55 63 64 50 60 58 67 50 50 Round your answer to the nearest tenth.

A particular student has a grade point average (GPA) of 2.5 in their first three courses.What is the minimum average they will need in their fourth and fifth courses so that their overall GPA on all five courses is at least 3.0?

Last weekend police ticketed 18 men whose mean speed was 72 miles per hour,and 30 women going an average of 64 mph.Overall,what was the mean speed of all the people ticketed?

The employees at Frank's Furniture earned the following amounts,in dollars,last week. $540.68 $186.11 $264.76 $495.65 $156.26 $533.66 Round your answer to the nearest cent.

Here are some scores from a recent Mathematics exam: 95.5,65.9,93.2,80.6,56.8,50,86.4,54.5,40.9,77.3,79.5,10,65.9,70.5,15,77.3,81.8,12,50,79.5,60.2.Which is a better summary of the scores,the mean or the median? Explain.

The back-to-back dotplot shows the number of fatalities per year caused by tornadoes in a certain state for two periods: 1950-1974 and 1975-1999.Explain how you would summarize the centre and spread of each of the variables depicted in the dotplots.

Quiz 3: Displaying and Summarizing Quantitative Data

Here are the number of baseball games that Dave attended over the last several seasons. 1 15 17 21 30 30 49

Here are the grocery bills,in dollars,for six shoppers. $73.92\$ 73.92$73.92 $80.29\$ 80.29$80.29 $76.84\$ 76.84$76.84 $46.02\$ 46.02$46.02 $42.86\$ 42.86$42.86 $47.52\$ 47.52$47.52 Round your answer to the nearest cent.

Jody got a bank statement each month that listed the balance,in dollars,in her checking account.Here are the balances on several statements. $508.73 $191.48 $535.85 $381.72 $315.88 $485.86 $533.66 $508.12 $515.49 Round your answer to the nearest cent.

A consumer group surveyed the prices for a certain item in five different stores and reported the mean price to be $15.If you visited four of these stores and found their prices to $10,$15,$17,and $25,what is the price of this item at the fifth store?

A small company employs a supervisor at $1400 a week,an inventory manager at $800 a week,8 stock boys at $300 a week each,and 6 drivers at $700 a week each.

The students in a math class took the Scholastic Aptitude Test.Their math scores are shown below. 567 630 350 353 503 356 354 552 470 482

John liked to order the all-you-can-eat shrimp at his favorite restaurant.Here are the number of shrimp he ate during his last five visits to the restaurant. 15,16,13,15,10

The local Tupperware dealers earned the following commissions,in dollars,last month. $1863.64 $4955.86 $3482.51 $2342.19 $4773.76 $4720.40 $2050.10 $4263.18 $4897.60 $3314.73 Round your answer to the nearest cent.

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the scores,the mean or the median? Explain.

Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the spread,the standard deviation or the IQR? Explain.

Two sections of a class took the same quiz.Section A had 15 students who had a mean score of 80,and Section B had 20 students who had a mean score of 90.Overall,what was the approximate mean score for all of the students on the quiz?

Here are the amounts,in dollars,spent by six students at a university book store. $267.25 $167.42 $288.70 $148.22 $228.43 $174.68\$ 174.68$174.68 Round your answer to the nearest cent.

Here are the number of hours that Bill has exercised each week since he started keeping records. 8.5 6.5 7.1 8.7 6.9 8.5 8.6 7.1 7.8 8.5 8.7 7.9 8.6 6.5 6.5 8.8 6.9 8.6 Round your answer to the nearest tenth.

Last year,nine employees of an electronics company retired.Their ages at retirement,in years,are listed below. 55 63 64 50 60 58 67 50 50 Round your answer to the nearest tenth.

A particular student has a grade point average (GPA) of 2.5 in their first three courses.What is the minimum average they will need in their fourth and fifth courses so that their overall GPA on all five courses is at least 3.0?

Last weekend police ticketed 18 men whose mean speed was 72 miles per hour,and 30 women going an average of 64 mph.Overall,what was the mean speed of all the people ticketed?

The employees at Frank's Furniture earned the following amounts,in dollars,last week. $540.68 $186.11 $264.76 $495.65 $156.26 $533.66 Round your answer to the nearest cent.

Here are some scores from a recent Mathematics exam: 95.5,65.9,93.2,80.6,56.8,50,86.4,54.5,40.9,77.3,79.5,10,65.9,70.5,15,77.3,81.8,12,50,79.5,60.2.Which is a better summary of the scores,the mean or the median? Explain.

The back-to-back dotplot shows the number of fatalities per year caused by tornadoes in a certain state for two periods: 1950-1974 and 1975-1999.Explain how you would summarize the centre and spread of each of the variables depicted in the dotplots.

Here are the grocery bills,in dollars,for six shoppers. $\$ 73.92$ $\$ 80.29$ $\$ 76.84$ $\$ 46.02$ $\$ 42.86$ $\$ 47.52$ Round your answer to the nearest cent.

Here are the amounts,in dollars,spent by six students at a university book store. $267.25 $167.42 $288.70 $148.22 $228.43 $\$ 174.68$ Round your answer to the nearest cent.