David wants to survey his friends about their favorite animal. He distributes the following survey. Is this an appropriate survey for David to use?
A survey is shown. The survey says Dogs are the best animal! Most students at this school agree. Then there is a pie chart titled favorite animal showing that 68% of students have voted for dogs and 32% of students have voted for other animals. At the bottom it says are dogs your favorite animal too? There are options to select yes or no.
A. Yes, with this survey David can tell what his friends’ favorite animals are.
B. Yes, even though this survey doesn’t show what other types of animals students like, it does show how many students at the school like dogs.
C. No, this survey encourages students to choose dogs as their favorite animal and doesn’t allow them to choose another type of animal.
D. No, this survey only shows student results using one type of data display.
C. No, this survey encourages students to choose dogs as their favorite animal and doesn't allow them to choose another type of animal. The survey is biased towards dogs and doesn't offer an opportunity for participants to express their actual favorite animal.
For a school project, Alice surveyed several male students in her class to determine whether there is a relationship between their heights and weights. Which scatter plot represents the data displayed in the table below?
Height (in.) 54 56 58 61 63 65 70 71
Weight (lbs.) 100 110 122 135 146 150 170 171
A. A scatter plot is shown.The x-axis is labeled Weight left-parenthesis lbs. right-parenthesis and has numbers from 0 to 200 with a step size of 50. The y-axis is labeled Height left-parenthesis in. right-parenthesis and has numbers from 0 to 80 with a step size of 20. The scatter plots shows these approximate points: left-parenthesis 100 comma 70 right-parenthesis, left-parenthesis 110 comma 70 right-parenthesis, left-parenthesis 125 comma 65 right-parenthesis, left-parenthesis 140 comma 60 right-parenthesis, left-parenthesis 145 comma 60 right-parenthesis, left-parenthesis 150 comma 60 right-parenthesis, left-parenthesis 170 comma 50 right-parenthesis, and left-parenthesis 175 comma 55 right-parenthesis.
B. A scatter plot is shown.The x-axis is labeled Weight left-parenthesis lbs. right-parenthesis and has numbers from 0 to 80 with a step size of 20. The y-axis is labeled Height left-parenthesis in. right-parenthesis and has numbers from 0 to 100 with a step size of 20. The scatter plots shows these approximate points: left-parenthesis 57 comma 50 right-parenthesis, left-parenthesis 58 comma 58 right-parenthesis, left-parenthesis 60 comma 60 right-parenthesis, left-parenthesis 65 comma 65 right-parenthesis, left-parenthesis 66 comma 70 right-parenthesis, left-parenthesis 65 comma 78 right-parenthesis, left-parenthesis 70 comma 81 right-parenthesis, and left-parenthesis 75 comma 85 right-parenthesis.
C. A scatter plot is shown.The x-axis is labeled Height left-parenthesis in. right-parenthesis and has numbers from 0 to 80 with a step size of 20. The y-axis is labeled Weight left-parenthesis lbs. right-parenthesis and has numbers from 0 to 100 with a step size of 20. The scatter plots shows these approximate points: left-parenthesis 57 comma 50 right-parenthesis, left-parenthesis 58 comma 58 right-parenthesis, left-parenthesis 60 comma 60 right-parenthesis, left-parenthesis 65 comma 65 right-parenthesis, left-parenthesis 66 comma 70 right-parenthesis, left-parenthesis 65 comma 78 right-parenthesis, left-parenthesis 70 comma 81 right-parenthesis, and left-parenthesis 75 comma 85 right-parenthesis.
D. A scatter plot is shown.The x-axis is labeled Height left-parenthesis in. right-parenthesis and has numbers from 0 to 80 with a step size of 20. The y-axis is labeled Weight left-parenthesis lbs. right-parenthesis and has numbers from 0 to 200 with a step size of 100. The scatter plots shows these approximate points: left-parenthesis 55 comma 100 right-parenthesis, left-parenthesis 56 comma 100 right-parenthesis, left-parenthesis 59 comma 110 right-parenthesis, left-parenthesis 61 comma 120 right-parenthesis, left-parenthesis 63 comma 140 right-parenthesis, left-parenthesis 65 comma 150 right-parenthesis, left-parenthesis 76 comma 180 right-parenthesis, and left-parenthesis 77 comma 180 right-parenthesis.
C. A scatter plot is shown.The x-axis is labeled Height left-parenthesis in. right-parenthesis and has numbers from 0 to 80 with a step size of 20. The y-axis is labeled Weight left-parenthesis lbs. right-parenthesis and has numbers from 0 to 100 with a step size of 20. The scatter plots shows these approximate points: left-parenthesis 57 comma 50 right-parenthesis, left-parenthesis 58 comma 58 right-parenthesis, left-parenthesis 60 comma 60 right-parenthesis, left-parenthesis 65 comma 65 right-parenthesis, left-parenthesis 66 comma 70 right-parenthesis, left-parenthesis 65 comma 78 right-parenthesis, left-parenthesis 70 comma 81 right-parenthesis, and left-parenthesis 75 comma 85 right-parenthesis.
Erica found the mean of the yearly incomes of a sample of households in her hometown as shown in the chart below. In a report, she stated, “The typical income in my neighborhood is about $81,500 per year.” How is this misleading?
$35,000 $25,000 $28,000 $30,000 $35,000
$225,000 $18,000 $12,000 $25,000 $26,000
$390,500 $16,250 $320,325 $22,000 $29,500
$32,300 $22,200 $18,500 $30,500 $290,000
A. The mean of the data is not about $81,500.
B. Erica’s statement is not misleading.
C. The mean is not a good measure of the incomes because a few higher incomes pull the mean higher than most of the household incomes.
D. The mean is not a good measure of the incomes because the lower incomes pull the mean lower than most household incomes.
C. The mean is not a good measure of the incomes because a few higher incomes pull the mean higher than most of the household incomes. Some of the incomes in the data set are much higher than the others, and using the mean alone as a measure of central tendency does not accurately represent the typical income in the neighborhood. It would be better to use the median or mode as a measure of central tendency in this case. Therefore, Erica's statement is misleading as it gives the impression that the mean is an appropriate measure of the typical income in the neighborhood, whereas in reality, it is inflated due to the few high incomes.
The record high temperatures were recorded for 20 states. The frequency table below displays the data. Which histogram represents the data?
Record High Temperatures
Temperature Range
Tally
Frequency
90–99
|||| |||
8
100–109
|||| ||
7
110–119
||||
4
120–129
|
1
A. A histogram is shown.The horizontal axis is labeled Record High Temperatures. It is divided into four partitions. The first partition extends from 90 to 100 on the x-axis. The second partition extends from 100 to 110 on the x-axis. The third partition extends from 110 to 120 on the x-axis. The fourth partition extends from 120 to 130 on the x-axis. The vertical axis is labeled Frequency. It is numbered from 0 to 7 with a step size of 1. Four rectangles or bars are shown. The rectangle spanning the 90 to 100 partition has a height of 4. The rectangle spanning the 100 to 110 partition has a height of 7. The rectangle spanning the 110 to 120 partition has a height of 4. The rectangle spanning the 120 to 130 partition has a height of 1.
B. A histogram is shown.The horizontal axis is labeled Record High Temperatures. It is divided into four partitions. The first partition extends from 90 to 100 on the x-axis. The second partition extends from 100 to 110 on the x-axis. The third partition extends from 110 to 120 on the x-axis. The fourth partition extends from 120 to 130 on the x-axis. The vertical axis is labeled Frequency. It is numbered from 0 to 8 with a step size of 2. Four rectangles or bars are shown. The rectangle spanning the 90 to 100 partition has a height of 8. The rectangle spanning the 100 to 110 partition has a height of 7. The rectangle spanning the 110 to 120 partition has a height of 4. The rectangle spanning the 120 to 130 partition has a height of 1.
C. A histogram is shown.The horizontal axis is labeled Record High Temperatures. It is divided into four partitions. The first partition extends from 90 to 100 on the x-axis. The second partition extends from 100 to 110 on the x-axis. The third partition extends from 110 to 120 on the x-axis. The fourth partition extends from 120 to 130 on the x-axis. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 2. Four rectangles or bars are shown. The rectangle spanning the 90 to 100 partition has a height of 4. The rectangle spanning the 100 to 110 partition has a height of over 10. The rectangle spanning the 110 to 120 partition has a height of 4. The rectangle spanning the 120 to 130 partition has a height of 1.
D. A histogram is shown.The horizontal axis is labeled Record High Temperatures. It is divided into five partitions. The first partition extends from 80 to 90 on the x-axis. The second partition extends from 90 to 100 on the x-axis The third partition extends from 100 to 110 on the x-axis. The fourth partition extends from 110 to 120 on the x-axis. The fifth partition extends from 120 to 130 on the x-axis. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 2. Five rectangles or bars are shown. The rectangle spanning the 80 to 90 partition has a height of 2. The rectangle spanning the 90 to 100 partition has a height of 1. The rectangle spanning the 100 to 110 partition has a height of over 10. The rectangle spanning the 110 to 120 partition has a height of 4. The rectangle spanning the 120 to 130 partition has a height of 1.
A. A histogram is shown.The horizontal axis is labeled Record High Temperatures. It is divided into four partitions. The first partition extends from 90 to 100 on the x-axis. The second partition extends from 100 to 110 on the x-axis. The third partition extends from 110 to 120 on the x-axis. The fourth partition extends from 120 to 130 on the x-axis. The vertical axis is labeled Frequency. It is numbered from 0 to 7 with a step size of 1. Four rectangles or bars are shown. The rectangle spanning the 90 to 100 partition has a height of 4. The rectangle spanning the 100 to 110 partition has a height of 7. The rectangle spanning the 110 to 120 partition has a height of 4. The rectangle spanning the 120 to 130 partition has a height of 1. This histogram accurately represents the data given in the frequency table.
Which is the best display for the list of the number of tornadoes in the United States each year, if you want to be able to identify the mode?
A. histogram with intervals of 5
B. frequency table with intervals of 3
C. line plot
D. line graph
A. Histogram with intervals of 5. A histogram with intervals of 5 will group the number of tornadoes into intervals, making it easier to identify peaks and mode(s). Additionally, a histogram allows for a quick visual comparison between different intervals.
Kendall asked 40 randomly-selected seniors at his high school about their plans for after they graduated. Twenty-nine students said they planned to go to college. If there are 380 seniors at Kendall’s high school, estimate the number who plan to go to college.
A. 245
B. 275
C. 310
D. 330