Question 1

The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. $$\begin{array} { c c } 
\hline \text { Vehicle Type } & \text { Frequency } \
\hline \text { Motorcycle } & 12 \
\text { Sedan } & 54 \
\text { SUV } & 26 \
\text { Truck } & 64 \
\hline
\end{array}$$ Construct a pie chart for the data.

Accepted Answer

A)  
B)  
C)  
D)

Question 2

The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a frequency distribution using a class width of 10, and using 0 as the lower class limit for the first Class. 
$\begin{array} { r r r r r } 
\hline 76.59 & 48.55 & 93.66 & 60.17 & 39.10 \
93.28 & 65.43 & 34.12 & 80.41 & 77.16 \
80.07 & 93.46 & 39.19 & 43.84 & 44.70 \
68.74 & 89.98 & 6.97 & 52.86 & 68.93 \
\hline
\end{array}$

Accepted Answer

A) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Frequency } \
\hline \mathbf { 0 . 0 0 - 9 . 9 9 } & 1 \
10.00 - 19.99 & 0 \
20.00 - 29.99 & 0 \
30.00 - 39.99 & 3 \
40.00 - 49.99 & 3 \
50.00 - 59.99 & 1 \
60.00 - 69.99 & 4 \
70.00 - 79.99 & 2 \
80.00 - 89.99 & 4 \
90.00 - 99.99 & 2 \
\hline
\end{array}
\end{array}$ 
B) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Frequency } \
\hline 0.00 - 9.99 & 1 \
10.00 - 19.99 & 0 \
20.00 - 29.99 & 0 \
30.00 - 39.99 & 4 \
40.00 - 49.99 & 2 \
50.00 - 59.99 & 1 \
60.00 - 69.99 & 4 \
70.00 - 79.99 & 2 \
80.00 - 89.99 & 3 \
90.00 - 99.99 & 3 \
\hline
\end{array}
\end{array}$ 
C) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Frequency } \
\hline 0.00 - 9.99 & 1 \
10.00 - 19.99 & 0 \
20.00 - 29.99 & 1 \
30.00 - 39.99 & 2 \
40.00 - 49.99 & 3 \
50.00 - 59.99 & 1 \
60.00 - 69.99 & 4 \
70.00 - 79.99 & 2 \
80.00 - 89.99 & 3 \
90.00 - 99.99 & 3 \
\hline
\end{array}
\end{array}$ 
D) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Frequency } \
\hline 0.00 - 9.99 & 1 \
10.00 - 19.99 & 0 \
20.00 - 29.99 & 0 \
30.00 - 39.99 & 3 \
40.00 - 49.99 & 3 \
50.00 - 59.99 & 1 \
60.00 - 69.99 & 4 \
70.00 - 79.99 & 2 \
80.00 - 89.99 & 3 \
90.00 - 99.99 & 3 \
\hline
\end{array}
\end{array}$

Question 3

Helium prices: The cost of grade A Helium gas in 2003 was around $60/Mcf. Five years later it reached around $115/Mcf. Which of the following graphs accurately represents the magnitude of the Increase? Which one exaggerates it?

Accepted Answer

A)  
B)

Question 4

Classify the histogram as unimodal or bimodal.

Accepted Answer

A)  unimodal 
B)  bimodal

Question 5

Thirty households were surveyed for the number of televisions in each home. Following are the results. 
$\begin{array} { l l l l l l l l l l } 
\hline 0 & 1 & 0 & 2 & 3 & 0 & 0 & 0 & 0 & 5 \
4 & 1 & 0 & 0 & 0 & 4 & 0 & 5 & 1 & 0 \
0 & 0 & 0 & 3 & 1 & 1 & 0 & 0 & 0 & 0 \
\hline
\end{array}$ 
Construct a frequency histogram.

Accepted Answer

A)  
B)  
C)  
D)

Question 6

Construct a stem-and-leaf plot for the following data. 
$\begin{array} { l l l l l l l l l l } 
\hline 28 & 20 & 54 & 52 & 26 & 17 & 31 & 53 & 40 & 20 \
51 & 20 & 28 & 58 & 40 & 10 & 25 & 43 & 40 & 54 \
\hline
\end{array}$

Accepted Answer

A) $\begin{array} { l | l } 
\hline 1 & 07 \
2 & 000568 \
3 & 18 \
4 & 0003 \
5 & 123448
\end{array}$ 
B) $\begin{array} { l | l } 
\hline 1 & 07 \
2 & 0005688 \
3 & 1 \
4 & 0003 \
5 & 123448
\end{array}$ 
C) $\begin{array} { l | l } 
\hline 1 & 07 \
2 & 0005688 \
3 & 1 \
4 & 0003 \
5 & 13448 \
6 & 2
\end{array}$ 
D) $\begin{array} { l | l } 
\hline 1 & 07 \
2 & 0005688 \
3 & 1 \
4 & 000 \
5 & 1233448
\end{array}$

Question 7

The following frequency distribution presents the weights in pounds (lb) of a sample of visitors to a health clinic. $$\begin{array} { c c } 
\hline  { \text { Clinic Visitor Weights } } \
\hline \text { Weight (lb) } & \text { Frequency } \
\hline 120 - 129 & 4 \
130 - 139 & 13 \
140 - 149 & 23 \
150 - 159 & 42 \
160 - 169 & 32 \
170 - 179 & 24 \
180 - 189 & 9 \
190 - 199 & 3 \
\hline
\end{array}$$ Construct a relative frequency histogram.

Accepted Answer

A)  
B)  
C)  
D)

Question 8

The amounts 3 and 4 are compared. Which of the following graphical displays are the least misleading?

Accepted Answer

A)  
B)  
C)  
D)

Question 9

The following pie chart presents the percentages of fish caught in each of four ratings categories. Match this pie chart with its corresponding Pareto chart.

Accepted Answer

A)  
B)  
C)  
D)

Question 10

The following time-series plot presents the population growth (in percent) of a suburb of Atlanta, Georgia for each of the years 1990 through 2009. Estimate the amount by which the rate of growth
Changed from 1,995 to 2,004.

Accepted Answer

A)  about -1.3 percentage points 
B)  about -2.9 percentage points 
C)  about -1.0 percentage points 
D)  about -1.9 percentage points

Question 11

Following are the numbers of Dean's List students in a random sample of 20 university courses. Construct a dotplot for these data. $$\begin{array} { l l l l l } 
\hline 9 & 2 & 0 & 0 & 4 \
2 & 0 & 0 & 4 & 0 \
4 & 2 & 0 & 0 & 5 \
6 & 1 & 2 & 0 & 4 \
\hline
\end{array}$$

Accepted Answer

A)  
B)  
C)  
D)

Question 12

Construct a dotplot for the following data. $$\begin{array} { l l l l l l l l l l } 
\hline 3.94 & 3.93 & 3.98 & 3.91 & 4.03 & 3.95 & 4.01 & 3.98 & 3.91 & 3.97 \
3.94 & 3.94 & 4.04 & 3.96 & 4.02 & 3.91 & 3.91 & 3.99 & 3.91 & 3.93 \
\hline
\end{array}$$

Accepted Answer

A)  
B)  
C)  
D)

Question 13

Chocolate or vanilla: The following bar graph shows the number of chocolate and vanilla ice cream cones sold during the annual county fair for the years 2013 - 2017. Does the graph present an accurate picture of the difference between chocolate and vanilla cones sold? Or is it misleading?
Explain.

Accepted Answer

The answer of Chocolate or vanilla: The following bar graph...

Question 14

The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. $$\begin{array} { c c } 
\hline \text { Vehicle Type } & \text { Frequency } \
\hline \text { Motorcycle } & 15 \
\text { Sedan } & 80 \
\text { SUV } & 88 \
\text { Truck } & 34 \
\hline
\end{array}$$ What is the relative frequency of the Motorcyle category?

Accepted Answer

A)  0.069 
B)  15 
C)  0.17 
D)  15%

Question 15

The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a relative frequency histogram using a class width of 10, and using 0 as the lower class limit for the First class.

$\begin{array} { r r r r r } 
\hline 51.13 & 6.11 & 36.05 & 22.27 & 94.54 \
49.64 & 52.78 & 79.28 & 51.88 & 6.29 \
33.57 & 53.92 & 24.91 & 23.89 & 79.10 \
14.86 & 63.94 & 15.87 & 76.44 & 60.96 \
\hline
\end{array}$

Accepted Answer

A)  
B)  
C)  
D)

Question 16

The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a relative frequency distribution using a class width of 10, and using 0 as the lower class limit for the First class.
 $\begin{array} { r r r r r } 
\hline 57.46 & 27.21 & 6.12 & 97.99 & 68.22 \
28.97 & 39.41 & 77.56 & 37.06 & 73.09 \
88.82 & 61.29 & 93.24 & 65.96 & 42.37 \
94.38 & 7.67 & 16.95 & 71.17 & 65.37 \
\hline
\end{array}$

Accepted Answer

A) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.080 \
40.00 - 49.99 & 0.070 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$ 
B) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.040 \
60.00 - 69.99 & 0.210 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$ 
C) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$ 
D) $\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.030 \
50.00 - 59.99 & 0.070 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

Question 17

Following is a pie chart that presents the percentages spent by a certain household on its five largest annual expenditures. What percentage of the money spent was spent on food, housing, and utilities?

Accepted Answer

A)  52.6% 
B)  65% 
C)  61.9% 
D)  50%

Question 18

The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a frequency histogram using a class width of 10, and using 0 as the lower class limit for the first Class.

$\begin{array} { l l l l l } 
\hline 69 & 55 & 17 & 55 & 81 \
66 & 99 & 44 & 34 & 79 \
22 & 83 & 91 & 15 & 35 \
53 & 74 & 40 & 55 & 49 \
\hline
\end{array}$

Accepted Answer

A)  
B)  
C)  
D)

Question 19

One hundred students are shown an eight-digit number on a piece of cardboard for three seconds and are asked to then recite the number from memory. The process is repeated until the student accurately recites the
Entire number from memory. The following histogram presents the number of trials it took each student to
Memorize the number.  How many students memorized the number in three trials or less?

Accepted Answer

A)  19 
B)  24 
C)  81 
D)  2

Question 20

The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. $$\begin{array} { c c } 
\hline \text { Vehicle Type } & \text { Frequency } \
\hline \text { Motorcycle } & 7 \
\text { Sedan } & 63 \
\text { SUV } & 84 \
\text { Truck } & 30 \
\hline
\end{array}$$ Construct a relative frequency distribution for the data.

Accepted Answer

A) $\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \
\text { Sedan } & 0.342 \
\text { SUV } & 0.457 \
\text { Truck } & 0.163
\end{array}$ 
B) $\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.07 \
\text { Sedan } & 0.63 \
\text { SUV } & 0.84 \
\text { Truck } & 0.3
\end{array}$ 
C) $\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \% \
\text { Sedan } & 0.342 \% \
\text { SUV } & 0.457 \% \
\text { Truck } & 0.163 \%
\end{array}$ 
D) $\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.083 \
\text { Sedan } & 0.75 \
\text { SUV } & 1 \
\text { Truck } & 0.357
\end{array}$

Exam 2: Graphical Summaries of Data

Helium prices: The cost of grade A Helium gas in 2003 was around $60/Mcf. Five years later it reached around $115/Mcf. Which of the following graphs accurately represents the magnitude of the Increase? Which one exaggerates it?

Classify the histogram as unimodal or bimodal.

Construct a stem-and-leaf plot for the following data. $\begin{array} { l l l l l l l l l l } \hline 28 & 20 & 54 & 52 & 26 & 17 & 31 & 53 & 40 & 20 \\51 & 20 & 28 & 58 & 40 & 10 & 25 & 43 & 40 & 54 \\\hline\end{array}$

The amounts 3 and 4 are compared. Which of the following graphical displays are the least misleading?

The following pie chart presents the percentages of fish caught in each of four ratings categories. Match this pie chart with its corresponding Pareto chart.

The following time-series plot presents the population growth (in percent) of a suburb of Atlanta, Georgia for each of the years 1990 through 2009. Estimate the amount by which the rate of growth Changed from 1,995 to 2,004.

Following are the numbers of Dean's List students in a random sample of 20 university courses. Construct a dotplot for these data. $\begin{array} { l l l l l } \hline 9 & 2 & 0 & 0 & 4 \\2 & 0 & 0 & 4 & 0 \\4 & 2 & 0 & 0 & 5 \\6 & 1 & 2 & 0 & 4 \\\hline\end{array}$

Construct a dotplot for the following data. $\begin{array} { l l l l l l l l l l } \hline 3.94 & 3.93 & 3.98 & 3.91 & 4.03 & 3.95 & 4.01 & 3.98 & 3.91 & 3.97 \\3.94 & 3.94 & 4.04 & 3.96 & 4.02 & 3.91 & 3.91 & 3.99 & 3.91 & 3.93 \\\hline\end{array}$

Chocolate or vanilla: The following bar graph shows the number of chocolate and vanilla ice cream cones sold during the annual county fair for the years 2013 - 2017. Does the graph present an accurate picture of the difference between chocolate and vanilla cones sold? Or is it misleading? Explain.

Following is a pie chart that presents the percentages spent by a certain household on its five largest annual expenditures. What percentage of the money spent was spent on food, housing, and utilities?