The frequency table below shows the hourly wages of 22 factory workers. How many are paid $10.50 per hour or more?
Hourly Wage
Interval
Frequency
$7.50–$8.49
1
$8.50–$9.49
4
$9.50–$10.49
6
$10.50–$11.49
7
$11.50–$12.49
4
A. 7
B. 11
C. 17
D. 18
The number of workers paid $10.50 per hour or more is the sum of the frequencies in the $10.50–$11.49 and $11.50–$12.49 intervals: $$7+4=\boxed{11}.$$ Answer: \boxed{11}.
Researchers at Jackson Hospital asked 40 randomly selected patients about their sleep habits. Sixteen reported sleeping 8 hours or more each night. If there are 700 patients in the hospital, estimate the number of patients who sleep 8 hours or more each night.
A. 140
B. 160
C. 180
D. 280
We can set up a proportion to estimate the number of patients who sleep 8 hours or more each night:
$$\frac{16}{40} = \frac{x}{700}$$
where $x$ is the number of patients who sleep 8 hours or more each night.
To solve for $x$, we cross-multiply and get:
$$16 \cdot 700 = 40 \cdot x$$
Dividing both sides by 40, we have:
$$x = \frac{16 \cdot 700}{40} = 280$$
Therefore, we estimate that 280 patients in the hospital sleep 8 hours or more each night. The answer is $\boxed{\textbf{(D) }280}$.
A sports reporter said that 2 out of every 3 people he talked to at a hometown baseball game named baseball as their favorite sport. The reporter claimed that baseball was the most popular sport in town. Which of the following explains why the reporter's claim might not be true?
A. Only sixty-six percent of the people chose baseball.
B. The reporter only talked to people at a baseball game.
C. Only the people that the reporter talked to were counted.
D. The reporter did not say what sport the other people chose.
The reporter's claim might not be true because he only talked to people at a hometown baseball game, which might not be representative of the town as a whole. In other words, the people at the baseball game might be more likely to choose baseball as their favorite sport compared to the general population of the town.
Therefore, choice $\boxed{\textbf{(B)}}$ is the correct explanation of why the reporter's claim might not be true.
Suppose that you want to compare the average cost of a gallon of milk to the average cost of a gallon of gasoline in the U.S. over 20 years. Which type of display would be the best choice?
A. a double line graph
B. a double bar graph
C. a stem-and-leaf plot
D. a frequency table
Since we want to compare numerical data (cost) between two different categories (milk versus gasoline) over time, the best choice would be a double line graph, represented as two lines on the same graph with different colors or patterns. This type of graph is commonly used to display changes or trends over time and allows for easy comparison between the two categories.
Therefore, the correct answer is $\boxed{\textbf{(A)}\ \text{a double line graph}}$.
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season. In how many games were more than 40 points scored?
Stem
Leaf
6
1 6 7
5
2 2 8
4
4 5 8 9
3
0 2 6 6 6
2
0 8
A. 4
B. 6
C. 7
D. 10
We need to count the number of games where the score was more than 40 points. From the given stem-and-leaf plot, we can see that the scores are arranged as follows:
- 61, 67, 68
- 52, 58
- 44, 45, 48, 49
- 30, 32, 36, 36, 36
- 20, 28
Thus, there were $\boxed{\textbf{(A)}\ 4}$ games in which more than 40 points were scored.
The stem-and-leaf plot shows the height, in inches, of the players on two different basketball teams. How many players on each team are less than 70 inches tall?
Heights of Players
In inches
Austin College Barton College
Leaf
Stem
Leaf
6 7 8 8 9
6
4 6 8
1 1 2 6
7
1 1 1 3 4 5
1
8
2
A. Austin College, 4; Barton College, 6
B. Austin College, 5; Barton College, 7
C. Austin College, 5; Barton College, 3
D. Austin College, 9; Barton College, 9
To determine the number of players on each team who are less than 70 inches tall, we look at the stem-and-leaf plot and focus on the rows where the tens digit is 6 or less. We see the following heights for Austin College:
- 66, 68, 68, 69, 69
Thus, there are $\boxed{\textbf{(A)}\ \text{Austin College}, 4; \text{Barton College}, 6}$ players on each team who are less than 70 inches tall.
Which survey question is biased?
A. “Should the President of the United States serve a six-year term?”
B. “Which meal—breakfast, lunch, or dinner—is your favorite meal of the day?”
C. “During which month do you prefer to go on vacation?”
D. “Do you prefer white bread or healthy, whole-wheat bread?”
A survey question is biased if it is more likely to lead to a certain response or if it is worded in a way that favors a particular outcome or point of view.
Out of the given survey questions, $\boxed{\textbf{(D)}\ \text{“Do you prefer white bread or healthy, whole-wheat bread?”}}$ is biased because it includes the word "healthy," which implies that whole-wheat bread is the healthier choice compared to white bread. This could potentially influence how some people respond to the question, especially those who are health conscious.
Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released back into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina.
A. 800
B. 1,200
C. 1,920
D. 6,000
Suppose $x$ is the number of deer in North Carolina. According to the experiment described, the proportion of tagged deer that were caught the second time is approximately equal to the proportion of tagged deer to the total number of deer. Therefore, we can write: $$\frac{16}{800}\approx\frac{120}{x}.$$ Solving for $x$ yields: $$x \approx \frac{120\cdot 800}{16} = 6,\!000.$$ Hence, the estimated number of deer in North Carolina is $\boxed{\textbf{(D) }6,\!000}$.
The table shows the relationship between the number of days an ice cream shop is open
and the number of ice cream cones sold. Graph the data in a scatter plot and describe the trend shown by the graph.
Number of Days
Number of Cones Sold
1
38
2
68
3
70
4
86
5
89
6
93
7
97
A. A scatter plot of the number of cones sold for 7 days is shown. The x-axis is labeled Number of Days and has numbers from 0 to 7 with a step size of 1. The y-axis is labeled Number of Cones Sold and has numbers from 0 to 100 with a step size of 25. The scatter plots shows these approximate points: left-parenthesis 1 comma 42 right-parenthesis, left-parenthesis 2 comma 66 right-parenthesis, left-parenthesis 3 comma 70 right-parenthesis, left-parenthesis 4 comma 81 right-parenthesis, left-parenthesis 5 comma 87 right-parenthesis, left-parenthesis 6 comma 92 right-parenthesis, and left-parenthesis 7 comma 99 right-parenthesis.
The scatter plot shows a positive trend. As the number of days increases, the number of cones sold increases.
B. A scatter plot of the number of cones sold for 7 days is shown. The x-axis is labeled Number of Days and has numbers from 0 to 7 with a step size of 1. The y-axis is labeled Number of Cones Sold and has numbers from 0 to 100 with a step size of 25. The scatter plots shows these approximate points: left-parenthesis 1 comma 42 right-parenthesis, left-parenthesis 2 comma 66 right-parenthesis, left-parenthesis 3 comma 70 right-parenthesis, left-parenthesis 4 comma 81 right-parenthesis, left-parenthesis 5 comma 87 right-parenthesis, left-parenthesis 6 comma 92 right-parenthesis, and left-parenthesis 7 comma 99 right-parenthesis.
The scatter plot shows a negative trend. As the number of days increases, the number of cones sold decreases.
C. A scatter plot of the number of cones sold for 7 days is shown. The x-axis is labeled Number of Days and has numbers from 0 to 7 with a step size of 1. The y-axis is labeled Number of Cones Sold and has numbers from 0 to 100 with a step size of 25. The scatter plots shows these approximate points: left-parenthesis 1 comma 36 right-parenthesis, left-parenthesis 2 comma 46 right-parenthesis, left-parenthesis 3 comma 57 right-parenthesis, left-parenthesis 4 comma 68 right-parenthesis, left-parenthesis 5 comma 79 right-parenthesis, left-parenthesis 6 comma 89 right-parenthesis, and left-parenthesis 7 comma 100 right-parenthesis.
The scatter plot shows a positive trend. As the number of days increases, the number of cones sold increases.
D. A scatter plot of the number of cones sold for 7 days is shown. The x-axis is labeled Number of Days and has numbers from 0 to 7 with a step size of 1. The y-axis is labeled Number of Cones Sold and has numbers from 0 to 100 with a step size of 25. The scatter plots shows these approximate points: left-parenthesis 1 comma 36 right-parenthesis, left-parenthesis 2 comma 46 right-parenthesis, left-parenthesis 3 comma 57 right-parenthesis, left-parenthesis 4 comma 68 right-parenthesis, left-parenthesis 5 comma 79 right-parenthesis, left-parenthesis 6 comma 89 right-parenthesis, and left-parenthesis 7 comma 100 right-parenthesis.
The scatter plot shows a negative trend. As the number of days increases, the number of cones sold decreases.
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8 of 19 Answered
A scatter plot of the given data shows the trend that the number of cones sold tends to increase as the number of days the ice cream shop is open increases. We can see this by drawing a line of best fit, which roughly goes through the middle of the plotted points, starting at (1, 40) and ending at (7, 97). Therefore, the correct answer is $\boxed{\textbf{(A)}\ \text{A scatter plot of the number of cones sold for 7 days is shown. The x-axis is labeled Number of Days and has numbers from 0 to 7 with a step size of 1. The y-axis is labeled Number of Cones Sold and has numbers from 0 to 100 with a step size of 25. The scatter plot shows these approximate points: (1, 38), (2, 68), (3, 70), (4, 86), (5, 89), (6, 93), and (7, 97).
The scatter plot shows a positive trend. As the number of days increases, the number of cones sold increases.}$
Jared drew a scatter plot comparing the number of hours worked and the amount of money earned over the course of a week. He graphed the ordered pairs (number of hours, amount paid) for each day worked. Which of the three scatter plots below most likely represents the data?
A. A graph shows six points. The points begin at the upper left and continue down and to the right in a nearly linear pattern.
B. A graph shows six points. The points begin at the lower left and continue up and to the right in a nearly linear pattern.
C. A graph shows six points. The points begin at the upper left and continue primarily down and to the right in a somewhat random pattern.
D. None of these
Since we are comparing the number of hours worked to the amount of money earned, we should expect that as the number of hours worked increases, the amount of money earned also increases. Therefore, the plot that shows the points beginning at the lower left and continuing up and to the right in a nearly linear pattern (option $\boxed{\textbf{(B)}}$) is the most likely representation of the data.
The list shows the final exam grades for Ms. Gold’s math class. Make a stem-and-leaf plot for the data.
66, 98, 92, 91, 69, 55, 53, 90, 67, 74, 57, 58, 60, 59, 86, 92, 63, 55, 51, 84
A.
stem-and-leaf plot
The step-and-leaf plot consists of five rows of numbers. A single vertical line separates the first and second columns. The numbers in row 1 are, from left to right, 5, 1, 3, 5, 5, 7, and 8. The numbers in row 2 are, from left to right, 6, 0, 3, 6, 7, 9, and 9. The numbers in row 3 are, from left to right, 7 and 4. The numbers in row 4 are, from left to right, 8, 4, and 6. The numbers in row 5 are, from left to right, 9, 0. 1. 2, 2, and 8.
B.
stem-and-leaf plot
The step-and-leaf plot consists of five rows of numbers. A single vertical line separates the first and second columns. The numbers in row 1 are, from left to right, 5, 1, 3, 5, 5, 7, 8, and 9. The numbers in row 2 are, from left to right, 6, 0, 3, 6, 7, and 9. The numbers in row 3 are, from left to right, 7 and 4. The numbers in row 4 are, from left to right, 8, 4, and 6. The numbers in row 5 are, from left to right, 9, 0. 1. 2, 2, and 8.
C.
stem-and-leaf plot
The step-and-leaf plot consists of five rows of numbers. A single vertical line separates the first and second columns. The numbers in row 1 are, from left to right, 5, 1, 3, 5, 5, 7, and 8. The numbers in row 2 are, from left to right, 6, 0, 3, 6, 7, and 9. The numbers in row 3 are, from left to right, 7, 4, and 9. The numbers in row 4 are, from left to right, 8, 4, and 8. The numbers in row 5 are, from left to right, 9, 0. 1. 2, and 2.
D.
stem-and-leaf plot
The stem-and-leaf plot for the data is:
$$
\begin{array}{c|cccccccccc}
\text{Stem} & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \\
\hline
\text{Leaf} & 5 & 3 & 5 & 5 & 7 & 8 & 9 \\
& 0 & 1 & 3 & 6 & 7 & 9 & 9 \\
& 4 & 7 \\
& 4 & 6 & 8 \\
& 0 & 1 & 2 & 2 & 8
\end{array}
$$
Therefore, the answer is $\boxed{\textbf{(B)}}$.
The following graph shows the number of customers who purchased something from a store in September and October. What is misleading about the graph?
The bar graph is titled
A. The bars do not touch.
B. The intervals on the vertical axis between 200 and 207 are not even.
C. The graph exaggerates the difference in the number of customers between September and October.
D. The graph is not misleading.
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The graph exaggerates the difference in the number of customers between September and October. We can see this by looking at the vertical axis, which shows the number of customers purchased something. The scale is not even,
bot whats the answer to this question a b c or d The following graph shows the number of customers who purchased something from a store in September and October. What is misleading about the graph?
The bar graph is titled
A. The bars do not touch.
B. The intervals on the vertical axis between 200 and 207 are not even.
C. The graph exaggerates the difference in the number of customers between September and October.
D. The graph is not misleading.
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