Question 1

The graph below shows the number of car accidents occurring in one city in each of the_
years 2011 through 2016. The number of accidents dropped in 2013 after a new speed limit
was imposed. Does the graph distort the data? How would you redesign the graph to be less
misleading?

Accepted Answer

The answer of The graph below shows the number of...

Question 2

A school district performed a study to find the main causes leading to its students_
dropping out of school. Thirty cases were analyzed, and a primary cause was assigned to
each case. The causes included unexcused absences (U), illness (I), family problems (F), and
other causes (O). The results for the thirty cases are listed below: $$\begin{array} { c c c c c c c c c c } 
\mathrm { U } & \mathrm { U } & \mathrm { U } & \mathrm { I } & \mathrm { F } & \mathrm { O } & \mathrm { O } & \mathrm { U } & \mathrm { I } & \mathrm { F } \
\mathrm { F } & \mathrm { O } & \mathrm { U } & \mathrm { I } & \mathrm { I } & \mathrm { F } & \mathrm { I } & \mathrm { I } & \mathrm { O } & \mathrm { U } \
\mathrm { I } & \mathrm { F } & \mathrm { F } & \mathrm { U } & \mathrm { U } & \mathrm { I } & \mathrm { I } & \mathrm { O } & \mathrm { F } & \mathrm { U }
\end{array}$$ Construct a table summarizing the frequency distribution of the primary causes leading to
student dropout. $$\begin{array} { l | l } 
\text { Cause } & \text { Frequency } \
\hline
\end{array}$$

Accepted Answer

The answer of A school district performed a study to...

Question 3

Describe how a data point labeled as an outlier can affect the analysis of a data set in a
frequency distribution or histogram.

Accepted Answer

The answer of Describe how a data point labeled as...

Question 4

The frequency distribution below summarizes the home sale prices in the city of Summerhill
for the month of June. Determine the class width, class midpoint, and the class boundaries
for the class 235.0-265.9. $$\begin{array} { c | c } 
\text { Sale Price (in thousand \$) } & \text { Frequency } \
\hline 80.0 - 110.9 & 2 \
111.0 - 141.9 & 5 \
142.0 - 172.9 & 7 \
173.0 - 203.9 & 10 \
204.0 - 234.9 & 3 \
235.0 - 265.9 & 1
\end{array}$$

Accepted Answer

The answer of The frequency distribution below summarizes the home...

Question 5

Explain in your own words why a bar graph can be misleading if one or both of the scales
begin at some value other than zero.

Accepted Answer

The answer of Explain in your own words why a...

Question 6

The following data set represents Heather's average monthly charges (in $)for cable TV for the
past 12 months. $\begin{array} { l l l l l l l l l l l l } 105 & 125 & 110 & 98 & 102 & 115 & 110 & 123 & 118 & 101 & 95 & 128 \end{array}$
Construct a frequency distribution with 4 classes.
$\begin{array} { l | l } 
\text { Charges } & \text { Frequency } \
\hline &\
\
\
\
\
\end{array}$

Accepted Answer

The answer of The following data set represents Heather's average...

Question 7

In a survey, 26 voters were asked their ages. The results are shown below. Construct a_
histogram to represent the data (with 5 classes beginning with a lower class limit of 19.5 and a
class width of 10). What is the approximate age at the center? $\begin{array}{lllllllllllll}
43 & 56 & 28 & 63 & 67 & 66 & 52 & 48 & 37 & 51 & 40 & 60 & 62 \
66 & 45 & 21 & 35 & 49 & 32 & 53 & 61 & 53 & 69 & 31 & 48 & 59
\end{array}$

Accepted Answer

The answer of In a survey, 26 voters were asked...

Question 8

The following data set represents Heather's average monthly charges (in $)for cable TV for the_
past 24 months. $\begin{array} { r r r r r r r r r r r r } 105 & 125 & 110 & 98 & 102 & 115 & 110 & 123 & 118 & 101 & 95 & 128 \ 110 & 105 & 122 & 107 & 118 & 107 & 117 & 125 & 116 & 110 & 101 & 107 \end{array}$
Construct a frequency distribution with 4 classes, a class width of 2 hours, and a lower limit of 100 for class 1 .
$\begin{array} { l | l } 
\text { Charges } \mathbf { \$ } & \text { Frequency } \
\hline &\
\
\
\
\end{array}$

Accepted Answer

The answer of The following data set represents Heather's average...

Question 9

Graphs should be constructed in a way that is fair and objective. A common deceptive graph
alters the axes of the graph in what way?

Accepted Answer

The answer of Graphs should be constructed in a way...

Question 10

The following figures represent Latisha's monthly charges (in $)for long distance telephone_
calls for the past twelve months. $\begin{array} { r r r r } 7.12 & 10.40 & 14.70 & 18.24 \ 10.48 & 16.47 & 7.53 & 15.45 \ 13.04 & 15.48 & 13.33 & 12.56 \end{array}$
Construct a frequency distribution with four classes.
$\begin{array} { c | c } 
\text { Charges \$ } & \text { Frequency } \
\hline\
\
\
\
\
\end{array}$

Accepted Answer

The answer of The following figures represent Latisha's monthly charges...

Question 11

Suppose that a data set has a minimum value of 24 and a maximum of 79 and that you
want 5 classes. Explain how to find the class width for this frequency table. What happens if
you mistakenly use a class width of 11 instead of 12?

Accepted Answer

The answer of Suppose that a data set has a...

Question 12

Use the high closing values of Statstar Inc. stock from the years 2005-2016 to construct a_
time-series graph. (Let x = 0 represent 2005 and so on.)Identify a trend. $$\begin{array} { c | c | c | c } 
\text { Year } & \text { High } & \text { Year } & \text { High } \
\hline 2005 & 48 & 2011 & 62 \
2006 & 53 & 2012 & 60 \
2007 & 47 & 2013 & 68 \
2008 & 55 & 2014 & 42 \
2009 & 58 & 2015 & 51 \
2010 & 61 & 2016 & 78
\end{array}$$

Accepted Answer

The answer of Use the high closing values of Statstar...

Question 13

Describe the differences between a histogram and a stemplot and discuss the advantages and
disadvantages of each.

Accepted Answer

The answer of Describe the differences between a histogram and...

Question 14

In a survey, 20 people were asked how many magazines they had purchased during the
previous year. The results are shown below. Construct a histogram to represent the data.
Use 4 classes with a class width of 10, and begin with a lower class limit of -0.5. What is the
approximate amount at the center? $$\begin{array} { l c c c c c c c c c } 
6 & 15 & 3 & 36 & 25 & 18 & 12 & 18 & 5 & 30 \
24 & 7 & 0 & 22 & 33 & 24 & 19 & 4 & 12 & 9
\end{array}$$

Accepted Answer

The answer of In a survey, 20 people were asked...

Question 15

A bar chart and a Pareto chart both use bars to show frequencies of categories of categorical_
data. What characteristic distinguishes a Pareto chart from a bar chart and how does that
characteristic help us in understanding the data?

Accepted Answer

The answer of A bar chart and a Pareto chart...

Question 16

The frequency table below shows the amount of weight loss during the first month of a
diet program for a group of men. Constructing a frequency polygon. Applying a loose
interpretation of the requirements for a normal distribution, do the pounds of weight loss appear
to be normally distributed? Why or why not? $$\begin{array} { c | c } 
\text { Weight (lb) } & \text { Frequency } \
\hline 5 - 7 & 2 \
8 - 10 & 9 \
11 - 13 & 18 \
14 - 16 & 13 \
17 - 19 & 4 \
20 - 22 & 1
\end{array}$$  20-22 1

Accepted Answer

The answer of The frequency table below shows the amount...

Question 17

The data shows the roundtrip mileage that 43 randomly selected students drive to school_
each day. Construct a frequency polygon. Applying a loose interpretation of the requirements
for a normal distribution, do the mileages appear to be normally distributed? Why or why not? $$\begin{array} { c | c } 
\text { Miles } & \text { Frequency } \
\hline 10 - 14 & 0 \
15 - 19 & 6 \
20 - 24 & 9 \
25 - 29 & 21 \
30 - 34 & 7
\end{array}$$

Accepted Answer

The answer of The data shows the roundtrip mileage that...

Question 18

Define the difference between a Relative Frequency Distribution and a Cumulative Frequency
Distribution.

Accepted Answer

The answer of Define the difference between a Relative Frequency...

Question 19

Kevin asked some of his friends how many hours they had worked during the previous
week at their after-school jobs. The results are shown below. $\begin{array} { l l l l l l l l l l l l } 5 & 6 & 5 & 4 & 5 & 5 & 9 & 8 & 5 & 3 & 7 & 6 \ 6 & 7 & 5 & 6 & 7 & 5 & 6 & 8 & 6 & 7 & 8 & 4 \end{array}$
Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for class 1 .
$\begin{array} { l | l } 
\text { Hours } & \text { Frequency } \
\hline &\
\
\
\
\
\
\end{array}$

Accepted Answer

The answer of Kevin asked some of his friends how...

Quiz 2: Exploring Data With Tables and Graphs

The graph below shows the number of car accidents occurring in one city in each of the_ years 2011 through 2016. The number of accidents dropped in 2013 after a new speed limit was imposed. Does the graph distort the data? How would you redesign the graph to be less misleading?

Describe how a data point labeled as an outlier can affect the analysis of a data set in a frequency distribution or histogram.

Explain in your own words why a bar graph can be misleading if one or both of the scales begin at some value other than zero.

Graphs should be constructed in a way that is fair and objective. A common deceptive graph alters the axes of the graph in what way?

Suppose that a data set has a minimum value of 24 and a maximum of 79 and that you want 5 classes. Explain how to find the class width for this frequency table. What happens if you mistakenly use a class width of 11 instead of 12?

Describe the differences between a histogram and a stemplot and discuss the advantages and disadvantages of each.

A bar chart and a Pareto chart both use bars to show frequencies of categories of categorical_ data. What characteristic distinguishes a Pareto chart from a bar chart and how does that characteristic help us in understanding the data?

Define the difference between a Relative Frequency Distribution and a Cumulative Frequency Distribution.