Question 1

One of the following 12 scores

Was omitted from the stemplot below: 
The missing score is
A) 76
B) 88
C) 92
D) 96
E) 22666.

Accepted Answer

D

Question 2

Below is a histogram of the ages of the professors at a large university.  Approximately what percentage of the professors are 30-39 years old?
A) 20%
B) 45%
C) 55%
D) 65%
E) Not enough information

Accepted Answer

B

Question 3

A well-drawn histogram should have
A) bars that are all the same width.
B) no space between bars (unless a class has no observations).
C) a clearly marked vertical scale.
D) All of the above

Accepted Answer

A well-drawn histogram should have bars that are all the same width, no space between bars (unless a class has no observations), and a clearly marked vertical scale. All of these options are necessary for a clear and accurate representation of the data in a histogram.

Question 4

You want to make a graph to display the distribution of the salaries of the 1500 professors at a very large university. The best choice is a
A) boxplot.
B) histogram.
C) line graph.
D) pie chart.
E) stemplot.

Accepted Answer

A histogram is the best choice to display the distribution of salaries for a large number of professors. It allows for easy visualization of the distribution shape, center, and spread of the data. A boxplot or stemplot can also be used but are more suitable for smaller datasets. A line graph is not appropriate for displaying a distribution, and a pie chart is not suitable for showing continuous data.

Question 5

Below is a stemplot of the percent of males, 15 and older, who are illiterate in 139 countries, according to the United Nations. For example, the highest illiteracy rate was 69%, in the African country of Mali. 
A) clearly skewed to the right.
B) clearly skewed to the left.
C) roughly symmetric.
D) without a clear shape.

Accepted Answer

The stemplot shows a cluster of very low percentages on the left side of the plot (ranging from 0-10%), with a few outliers on the right side of the plot (ranging from 30-70%). This indicates that the data is skewed to the right, with most countries having low illiteracy rates and a few countries having very high illiteracy rates.

Question 6

Which of the stemplots below correctly displays the following data values?
5)6 8.5 6.3 6.1 5.6 8.5 8.2 8.1 6.7 8.5 5.8 5.1 8.5
A)

B)

C)

D)

Accepted Answer

The answer of Which of the stemplots below correctly displays...

Question 7

Ten members of a fraternity take a statistics course. Here are their scores on the first exam in the course:

To present the distribution of scores in a graph, you might choose a
A) line graph.
B) bar graph.
C) pie chart.
D) stemplot.

Accepted Answer

A stemplot, also known as a stem-and-leaf plot, is a useful way to display the distribution of scores for a small dataset like this. It shows the individual scores along with the overall pattern of the distribution. The stemplot allows for easy comparison between scores and provides more detail than a bar graph or pie chart. A line graph would not be appropriate for this type of data.

Question 8

You are giving a talk about the decay of the American family. You want to show by a graph how the number of divorces has increased between 1968 and 2008. What type of graph should you draw?
A) A bar graph
B) A boxplot
C) A histogram
D) A line graph
E) A stemplot

Accepted Answer

A line graph is the best choice to show the trend of divorces over time from 1968 to 2008. It will visually display the increase in divorces and show the overall trend. A bar graph or histogram would not be suitable for this type of data since it is continuous and not discrete. A boxplot and a stemplot would not show the overall trend over time.

Question 9

To display the percent of likely voters who believe they are going to vote for a particular candidate according to a survey taken each week of an election year, starting in January and ending the last week of October, a good choice of a graph would be a:
A) boxplot.
B) histogram.
C) line graph.
D) pie chart.
E) stemplot.

Accepted Answer

A line graph would be the best choice to display the percent of likely voters who believe they are going to vote for a particular candidate according to a weekly survey taken over an extended period, such as an election year. Line graphs are effective for showing trends over time, making them ideal for tracking changes in data points over a long period. By using a line graph, it becomes easier to visualize the overall trend in voter preference for a particular candidate, as well as any short-term fluctuations that may occur throughout the year.

Question 10

You want to make a graph to display the distribution of the years of experience of the 17 professors in the math department of a large university. The best choice is:
A) boxplot.
B) histogram.
C) line graph.
D) pie chart.
E) stemplot.

Accepted Answer

The answer of You want to make a graph to...

Question 11

A stemplot is
A) the same as a boxplot.
B) a part of a small tree.
C) a picture of a distribution.
D) the same as a histogram.
E) useful for describing categorical variables.

Accepted Answer

A stemplot is a visual representation of a distribution where each number is split into a "stem" (the first digit or digits) and a "leaf" (the last digit). The stems are arranged in ascending order and the leaves corresponding to each stem are listed next to it, forming a picture of the distribution. It is a useful tool for describing numerical variables.

Question 12

To display the number of pets owned by each of the 37 students in a class, a good choice of a graph would be a
A) stemplot.
B) bar graph.
C) pie chart.
D) boxplot.
E) line graph.

Accepted Answer

A stemplot is suitable for displaying the distribution of a small dataset, like the number of pets owned by each student, as it shows individual data points and their frequencies.

Question 13

Below is a histogram of the ages of the professors at a large university.  The overall shape of this distribution is
A) skewed to the right.
B) skewed to the left.
C) roughly symmetric.
D) without a clear shape.

Accepted Answer

The histogram shows a longer tail on the right side, indicating that the distribution is skewed to the right. The majority of the professors fall into the 40-50 age range, with fewer professors in the younger and older age groups.

Question 14

Below is a histogram of the number of repetitions of a chin-up exercise the members of two high school gym classes could do. For reference: the minimum done was two students doing none; the most, two students doing 12.  The overall shape of this distribution is
A) roughly symmetric with no outliers.
B) roughly symmetric with one outlier.
C) clearly skewed left.
D) clearly skewed right.

Accepted Answer

The answer of Below is a histogram of the number...

Question 15

Here is a set of data: 1300, 18, 25, 19, -7, 24. Which observation is the outlier?
A) 1300
B) 25
C) 19
D) -7
E) 24

Accepted Answer

1300 is the outlier because it is significantly higher than all other observations in the dataset.

Question 16

You want to make a graph that shows how the cost of attending your school has increased since 1980. A good choice of graph would be a
A) bar graph.
B) histogram.
C) line graph.
D) pie chart.
E) stemplot.

Accepted Answer

A line graph would be the best choice for showing the increase in cost over time as it allows for the visualization of trends and patterns in the data. It also allows for the inclusion of multiple data points over time, which other types of graphs may not be able to do as effectively.

Question 17

An analyst wants to draw a graph that displays the distribution of the tuitions of the 400+ institutions of higher learning in her state. The best type of graph to use is a:
A) bar graph.
B) histogram.
C) line graph.
D) stemplot.

Accepted Answer

A histogram is the best choice for displaying the distribution of data, especially when dealing with continuous variables like tuition. It shows the frequency of data within specific intervals or bins, allowing the viewer to see the shape of the distribution, any outliers, and where the data is concentrated. A bar graph would be better for comparing discrete categories, a line graph for showing trends over time, and a stemplot would not be practical for displaying 400+ data points.

Question 18

Below is a histogram of the ages of the professors at a large university.  There are 800 professors at this university. How many of them are in their 70s?
A) 80
B) 10
C) 4
D) 0
E) Not enough information

Accepted Answer

The answer of Below is a histogram of the ages...

Question 19

You are writing an article for the college newspaper about the cost of attending college. You want to make a graph to compare costs at your school and three similar schools. A good choice of a graph would be a
A) bar graph.
B) histogram.
C) line graph.
D) pie chart.
E) stemplot.

Accepted Answer

A bar graph is the best choice for comparing costs at multiple schools because it allows for easy comparison of numerical values, such as tuition and fees. Each school can be represented by a separate bar, and the heights would correspond to the cost. Additionally, labels and captions can be added to provide context and clarify the data being presented. Histograms and line graphs are more appropriate for continuous data, while pie charts are best suited for displaying proportions or percentages. Stemplots are useful for displaying raw data, but may be less effective for comparing costs across multiple schools.

Question 20

Below is a stemplot of the scores on a recent statistics test. (Key: 8|2 = 82%)  The overall shape of this distribution is
A) clearly skewed to the right.
B) clearly skewed to the left.
C) roughly symmetric.
D) without a clear shape.

Accepted Answer

The answer of Below is a stemplot of the scores...

Quiz 11: Displaying Distributions With Graphs

One of the following 12 scores Was omitted from the stemplot below: The missing score is

Below is a histogram of the ages of the professors at a large university. Approximately what percentage of the professors are 30-39 years old?

A well-drawn histogram should have

You want to make a graph to display the distribution of the salaries of the 1500 professors at a very large university. The best choice is a

Below is a stemplot of the percent of males, 15 and older, who are illiterate in 139 countries, according to the United Nations. For example, the highest illiteracy rate was 69%, in the African country of Mali.

Which of the stemplots below correctly displays the following data values? 5) 6 8.5 6.3 6.1 5.6 8.5 8.2 8.1 6.7 8.5 5.8 5.1 8.5

Ten members of a fraternity take a statistics course. Here are their scores on the first exam in the course: To present the distribution of scores in a graph, you might choose a

You are giving a talk about the decay of the American family. You want to show by a graph how the number of divorces has increased between 1968 and 2008. What type of graph should you draw?

To display the percent of likely voters who believe they are going to vote for a particular candidate according to a survey taken each week of an election year, starting in January and ending the last week of October, a good choice of a graph would be a:

You want to make a graph to display the distribution of the years of experience of the 17 professors in the math department of a large university. The best choice is:

A stemplot is

To display the number of pets owned by each of the 37 students in a class, a good choice of a graph would be a

Below is a histogram of the ages of the professors at a large university. The overall shape of this distribution is

Below is a histogram of the number of repetitions of a chin-up exercise the members of two high school gym classes could do. For reference: the minimum done was two students doing none; the most, two students doing 12. The overall shape of this distribution is

Here is a set of data: 1300, 18, 25, 19, -7, 24. Which observation is the outlier?

You want to make a graph that shows how the cost of attending your school has increased since 1980. A good choice of graph would be a

An analyst wants to draw a graph that displays the distribution of the tuitions of the 400+ institutions of higher learning in her state. The best type of graph to use is a:

Below is a histogram of the ages of the professors at a large university. There are 800 professors at this university. How many of them are in their 70s?

You are writing an article for the college newspaper about the cost of attending college. You want to make a graph to compare costs at your school and three similar schools. A good choice of a graph would be a

Below is a stemplot of the scores on a recent statistics test. (Key: 8|2 = 82%) The overall shape of this distribution is