Question 1

Use the circle graph to solve the problem.
-The pie chart shows the percent of the total population of 54,400 of Springfield living in the given types of housing. Round your result to the nearest whole number.  Find the number of people who live in townhouses.

Accepted Answer

A) 49,504 people 
B) 7616 people 
C) 4896 people 
D) 9 people

Question 2

Solve the problem.
-Suppose that a histogram is constructed for the frequency distribution shown below: $$\begin{array} { c | c } 
\text { Age } & \text { Frequency } \
\hline 30 - 39 & 11 \
40 - 49 & 23 \
50 - 59 & 17 \
60 - 69 & 12 \
70 - 89 & 6
\end{array}$$ The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area of the bar for the class 60-69 be twice the area of the bar for the class 70-89? In other words, will areas be proportional to frequencies in this histogram? Explain your thinking. Are there any conditions under which areas are proportional to frequencies in histograms?

Accepted Answer

The answer of Solve the problem.
-Suppose that a histogram is...

Question 3

Construct the dot plot for the given data.
-Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes. $\begin{array}{lllllllllll}
20&35 & 42 & 52 & 65 & 20 & 60 & 49 & 24 & 37 & 23 & 24 \
22&20 & 41 & 25 & 28 & 27 & 50 & 47 & 58 & 30 & 32 & 48
\end{array}$

Accepted Answer

A) 
$\begin{array}{l|l}
2 & 000234457 \
3 & 02578 \
4 & 12789 \
5 & 028\6&05
\end{array}$ 
B) 
$\begin{array}{l|l}
2 & 0002344578 \
3 & 0257 \
4 & 12789 \
5 & 028\6&05
\end{array}$

Question 4

Construct the dot plot for the given data.
-The normal monthly precipitation (in inches)for August is listed for 39 different U.S. cities. Construct an expanded stemplot with about 9 rows. $\begin{array} { l l l l l l l l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 & 1.0 & 3.6 & 1.7 & 0.4 & 3.2 & 4.2 & 4.1 \end{array}$
$\begin{array} { l l l l l l l l l l l l l l } 4.2 & 3.4 & 3.7 & 2.2 & 1.5 & 4.2 & 3.4 & 2.7 & 4.0 & 2.0 & 0.8 & 3.6 & 3.7 \end{array}$
$\begin{array} { l l l l l l l l l l l l l } 0.4 & 3.7 & 2.0 & 3.6 & 3.8 & 1.2 & 4.0 & 3.1 & 0.5 & 3.9 & 0.1 & 3.5 & 3.4 \end{array}$

Accepted Answer

A) 
$\begin{array}{l|l}
0 . & 01444 \
0 . & 58 \
1 . & 02 \
1 . & 567 \
2 . & 0024 \
2 . & 777 \
3 . & 12444 \
3 . & 556667789 \
4 . & 0011222
\end{array}$ 
B) 
$\begin{array}{l|l}
0 . & 144 \
0 . & 58 \
1 . & 02 \
1 . & 567 \
2 . & 0024 \
2 . & 7 \
3 . & 12444 \
3 . & 556667777899 \
\text { 4. } & 0011222
\end{array}$

Question 5

Find the original data from the stem-and-leaf plot.
-$$\begin{array} { r | c } 
\text { Stem } & \text { Leaves } \
\hline 7.7 & 18 \
7.8 & 88 \
7.9 & 188
\end{array}$$

Accepted Answer

A) 7.71, 7.72, 7.88, 7.88, 7.95, 7.98, 7.98 
B) 7.71, 7.78, 7.88, 7.88, 7.91, 7.98, 7.98 
C) 0.87, 1.57, 1.58, 1.58, 0.89, 1.59, 1.59 
D) 0.87, 0.87, 1.58, 1.58, 1.58, 0.89, 1.59, 1.6

Question 6

Construct a pie chart representing the given data set.
-The following figures give the distribution of land (in acres)for a county containing 82,000 acres. $\begin{array}{ccc}
\text { Forest } & \text { Farm } & \text { Urban } \
12,300 & 8200 & 61,500
\end{array}$

Accepted Answer

A)  
B)

Question 7

Use the data to create a stemplot.
-A car dealer is deciding what kinds of vehicles he should order from the factory. He looks at his sales report for the preceding period. Choose the vertical scale so that the relative frequencies are represented. 
$$\begin{array} { r | r } 
\text { Vehicle } & \text { Sales } \
\hline \text { Economy } & 32 \
\text { Sports } & 8 \
\text { Family } & 56 \
\text { Luxury } & 16 \
\text { Truck } & 48
\end{array}$$ Construct a Pareto chart to help him decide.

Accepted Answer

A)  
B)  
C)  
D)

Question 8

Solve the problem.
-The following frequency distribution analyzes the scores on a math test. Find the indicated class midpoint or boundaries. $$\begin{array} { c c } 
\hline \text {score}& \begin{array} { c } 
\text { Number of } \
\text { Students }
\end{array} \
\hline 40 - 59 & 2 \
60 - 75 & 4 \
76 - 82 & 6 \
83 - 94 & 15 \
95 - 99 & 5
\end{array}$$ The class boundaries of scores interval 95-99

Accepted Answer

A) 95.5, 99.5 
B) 95.5, 100.5 
C) 94.5, 99.5 
D) 94.5, 100.5

Question 9

Construct a pie chart representing the given data set.
-$\begin{array}{lllllllllll}
x & 1 & -3 & -3 & -2 & 3 & 5 & -1 & 8 & -4 & -1 \
y & -4 & -6 & -7 & 2 & 3 & 3 & -6 & 3 & -3 & -3
\end{array}$

Accepted Answer

A)  
B)  
C)  
D)

Question 10

Solve the problem.
-The data shows the roundtrip mileage that 43 randomly selected professors and students drive to school each day. Compare the results and determine whether there appears to be any significant difference between the two groups. $$\begin{array}{l}
\begin{array} { c | c } 
\text { Score } & \text { Frequency } \
\hline 10 - 14 & 2 \
15 - 19 & 5 \
20 - 24 & 13 \
25 - 29 & 17 \
30 - 34 & 6
\end{array}\\
\begin{array} { c | c } 
\text { Score } & \text { Frequency } \
\hline 10 - 14 & 0 \
15 - 19 & 6 \
20 - 24 & 9 \
25 - 29 & 21 \
30 - 34 & 7
\end{array}
\end{array}$$

Accepted Answer

The answer of Solve the problem.
-The data shows the roundtrip...

Question 11

Construct the relative frequency distribution that corresponds to the given frequency distribution.
-$\begin{array}{r|c}
\text { Scores } & \text { Frequency } \
\hline 91-100 & 5 \
81-90 & 5 \
71-80 & 7 \
61-70 & 8 \
<61 & 4
\end{array}$

Accepted Answer

A) 
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 12.5 \% \
81-90 & 20.1 \% \
71-80 & 37.3 \% \
61-70 & 15.2 \% \
<61 & 14.9 \%
\end{array}$ 
B) 
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 15.5 \% \
81-90 & 22.1 \% \
71-80 & 31.3 \% \
61-70 & 16.2 \% \
<61 & 14.9 \%
\end{array}$ 
C) 
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 17.24 \% \
81-90 & 17.24 \% \
71-80 & 24.14 \% \
61-70 & 27.59 \% \
<61 & 13.79 \%
\end{array}$ 
D) 
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 0.28 \% \
81-90 & 0.07 \% \
71-80 & 0.41 \% \
61-70 & 0.17 \% \
<61 & 0.07 \%
\end{array}$

Question 12

Solve the problem.
-Using the employment information in the table on Alpha Corporation, find the class midpoint for class 1-5. $$\begin{array}{l}
\text { Years employed at Alpha Corporation }\
\begin{array} { c | c } 
\begin{array} { c } 
\text { Class Limits } \
\text { (years of service) }
\end{array} & \begin{array} { c } 
\text { Frequency } \
\text { (No. of employees) }
\end{array} \
\hline 1 - 5 & 5 \
6 - 10 & 20 \
11 - 15 & 25 \
16 - 20 & 10 \
21 - 25 & 5 \
26 - 30 & 3
\end{array}
\end{array}$$

Accepted Answer

A) 3.0 
B) 3.5 
C) 5.0 
D) 2.5

Question 13

Use the circle graph to solve the problem.
-The pie chart below gives the number of students in the residence halls at the state university. 
Write the ratio of the number of residents at Fisher to the number of students at Carver.

Accepted Answer

A)  $\frac { 49 } { 30 }$ 
B)  $\frac { 7 } { 30 }$ 
C)  $\frac { 49 } { 31 }$ 
D)  $\frac { 31 } { 49 }$

Question 14

Use the circle graph to solve the problem.
-A survey of the 7095 vehicles on the campus of State University yielded the following pie chart.  Find the number of pickups. Round your result to the nearest whole number.

Accepted Answer

A) 26 
B) 5250 
C) 2199 
D) 1845

Question 15

Solve the problem.
-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? $$\begin{array} { c c c c c c c c c c c c c } 
43 & 56 & 28 & 63 & 67 & 66 & 52 & 48 & 37 & 51 & 40 & 60 & 62 \
66 & 45 & 21 & 35 & 49 & 32 & 53 & 61 & 53 & 69 & 31 & 48 & 59
\end{array}$$

Accepted Answer

The answer of Solve the problem.
-In a survey, 26 voters...

Question 16

Solve the problem.
-Use the high closing values of Naristar Inc. stock from the years 1992 - 2003 to construct a time-series graph. (Let x = 0 stand for 1992 and so on...)Identify a trend. $$\begin{array} { l | l | l | l } 
\text { Year } & \text { High } & \text { Year } & \text { High } \
\hline 1992 & 48 & 1998 & 62 \
1993 & 53 & 1999 & 60 \
1994 & 47 & 2000 & 68 \
1995 & 55 & 2001 & 42 \
1996 & 58 & 2002 & 51 \
1997 & 61 & 2003 & 78
\end{array}$$

Accepted Answer

The answer of Solve the problem.
-Use the high closing values...

Question 17

Use the given data to construct a frequency distribution.
-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. $\begin{array}{llllllllllll}
6 & 6 & 6 & 3 & 6 & 6 & 9 & 8 & 6 & 3 & 8 & 6 \
6 & 8 & 6 & 6 & 8 & 6 & 6 & 8 & 6 & 8 & 8 & 3
\end{array}$
 Construct a frequency table. 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 Use the given data to construct a...

Question 18

Solve the problem.
-Construct a frequency distribution and the corresponding histogram in which the following conditions are satisfied: - The frequency for the second class is twice the frequency of the first class. - In the histogram, the area of the bar corresponding to the second class is four times the area of the bar corresponding to the first class.

Accepted Answer

The answer of Solve the problem.
-Construct a frequency distribution and...

Question 19

Construct the relative frequency distribution that corresponds to the given frequency distribution.
-$\begin{array}{r|r}
\text { Weight (oz) } & \begin{array}{c}
\text { Number } \
\text { of Stones }
\end{array} \
\hline 1.2-1.6 & 5 \
1.7-2.1 & 2 \
2.2-2.6 & 5 \
2.7-3.1 & 5 \
3.2-3.6 & 13
\end{array}$

Accepted Answer

A) 
$\begin{array}{r|r}
\text { Weight (oz) } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline 1.2-1.6 & 5 \
1.7-2.1 & 7 \
2.2-2.6 & 12 \
2.7-3.1 & 17 \
3.2-3.6 & 30
\end{array}$ 
B) 
$\begin{array}{r|r}
\text { Weight }(\mathrm{oz}) & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline 1.2-2.1 & 7 \
2.2-3.1 & 17 \
3.2-3.6 & 30
\end{array}$ 
C) 3 
D) 
$\begin{array}{r|c}
\text { Weight }(\mathrm{oz}) & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline 1.2-1.6 & 5 \
1.7-2.1 & 7 \
2.2-2.6 & 12 \
2.7-3.1 & 17 \
3.2-3.6 & 28
\end{array}$

Question 20

Provide an appropriate response.
-Sturges' guideline suggests that when constructing a frequency distribution, the ideal number of classes can be approximated by 1 + (log n)/(log 2), where n is the number of data values. Use this guideline to find the ideal number of classes when the number of data values is 122.

Accepted Answer

A) 10 
B) 7 
C) 9 
D) 8

Exam 2: Summarizing and Graphing Data

Use the circle graph to solve the problem. -The pie chart shows the percent of the total population of 54,400 of Springfield living in the given types of housing. Round your result to the nearest whole number. Find the number of people who live in townhouses.

Find the original data from the stem-and-leaf plot. - $\begin{array} { r | c } \text { Stem } & \text { Leaves } \\\hline 7.7 & 18 \\7.8 & 88 \\7.9 & 188\end{array}$

Construct the relative frequency distribution that corresponds to the given frequency distribution. - $\begin{array}{r|c}\text { Scores } & \text { Frequency } \\\hline 91-100 & 5 \\81-90 & 5 \\71-80 & 7 \\61-70 & 8 \\<61 & 4\end{array}$

Use the circle graph to solve the problem. -A survey of the 7095 vehicles on the campus of State University yielded the following pie chart. Find the number of pickups. Round your result to the nearest whole number.

Construct the relative frequency distribution that corresponds to the given frequency distribution. - $\begin{array}{r|r}\text { Weight (oz) } & \begin{array}{c}\text { Number } \\\text { of Stones }\end{array} \\\hline 1.2-1.6 & 5 \\1.7-2.1 & 2 \\2.2-2.6 & 5 \\2.7-3.1 & 5 \\3.2-3.6 & 13\end{array}$

Exam 2: Summarizing and Graphing Data

Use the circle graph to solve the problem. -The pie chart shows the percent of the total population of 54,400 of Springfield living in the given types of housing. Round your result to the nearest whole number. Find the number of people who live in townhouses.

Find the original data from the stem-and-leaf plot. - Stem Leaves 7.7187.8887.9188\begin{array} { r | c } \text { Stem } & \text { Leaves } \\\hline 7.7 & 18 \\7.8 & 88 \\7.9 & 188\end{array} Stem 7.77.87.9​ Leaves 1888188​​

Use the circle graph to solve the problem. -The pie chart below gives the number of students in the residence halls at the state university. Write the ratio of the number of residents at Fisher to the number of students at Carver.

Use the circle graph to solve the problem. -A survey of the 7095 vehicles on the campus of State University yielded the following pie chart. Find the number of pickups. Round your result to the nearest whole number.

Find the original data from the stem-and-leaf plot. - $\begin{array} { r | c } \text { Stem } & \text { Leaves } \\\hline 7.7 & 18 \\7.8 & 88 \\7.9 & 188\end{array}$