Question 1

Construct the cumulative frequency distribution that corresponds to the given frequency distribution
-$\begin{array}{c|c}
\text { Speed } & \begin{array}{c}
\text { Number } \
\text { of cars }
\end{array} \
\hline 0-29 & 4 \
30-59 & 16 \
60-89 & 60 \
90-119 & 20
\end{array}$

A)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 4 \
\text { Less than } 60 & 20 \
\text { Less than } 90 & 80 \
\text { Less than } 120 & 100
\end{array}$

B)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 0.04 \
\text { Less than } 60 & 0.20 \
\text { Less than } 90 & 0.80 \
\text { Less than120 } & 1.00
\end{array}$

C)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 100 \
\text { Less than } 60 & 80 \
\text { Less than } 90 & 82 \
\text { Less than120 } & 4
\end{array}$

D)
$\begin{array}{c|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline 0-29 & 4 \
30-59 & 20 \
60-89 & 80 \
90-119 & 100
\end{array}$

Accepted Answer

The cumulative frequency is calculated by adding each frequency from the previous class intervals. For the given data: 0-29: 4, 30-59: 16, 60-89: 60, 90-119: 20, the cumulative frequencies are 4, 20, 80, and 100 respectively.

Question 2

A manufacturer records the number of errors each work station makes during the week. The data are as follows.

$\begin{array} { l l l l l l l l l l l l l } 6 & 3 & 2 & 3 & 5 & 2 & 0 & 2 & 5 & 4 & 2 & 0 & 1 \end{array}$

A)

B)

C)

D)

Accepted Answer

The answer of A manufacturer records the number of errors...

Question 3

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the width of each class. $$\begin{array} { c | c } 
\text { (Sale price in thousand \$) } & \text { Frequency } \
\hline 80.0 - 110.9 & 2 \
111.0 - 141.9 & 5 \
142.0 - 172.9 & 7 \
173.0 - 203.9 & 10 \
204.0 - 234.9 & 3 \
235.0 - 265.9 & 1
\end{array}$$
A) 30
B) 31
C) 61
D) 28

Accepted Answer

The width of each class is calculated by subtracting the lower limit of a class from the lower limit of the next class. For example, 111.0 - 80.0 = 31.

Question 4

The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram? 
A) 100
B) 110
C) 95
D) 90

Accepted Answer

The answer of The histogram below represents the number of...

Question 5

The attendance counts for this season's basketball games are listed below. $$\begin{array} { l l l l } 
227 & 239 & 215 & 219 \
221 & 233 & 229 & 233 \
235 & 228 & 245 & 231
\end{array}$$

A)
$\begin{array}{l|l}
21 & 579 \
22 & 189 \
23 & 13359 \
24 & 5
\end{array}$

B)
$\begin{array}{l|l}
21 & 59 \
22 & 1789 \
23 & 13359 \
24 & 5
\end{array}$

Accepted Answer

The answer of The attendance counts for this season's basketball...

Question 6

The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.
 $$\begin{array} { c c } 
\hline \text { Scores } & \text { Number of students } \
\hline 40 - 59 & 2 \
60 - 75 & 4 \
76 - 82 & 6 \
83 - 94 & 15 \
95 - 99 & 5 \
\hline
\end{array}$$
A) 50.5
B) 49.0
C) 49.5
D) 48.5

Accepted Answer

The class midpoint is calculated by averaging the lower and upper boundaries of the class interval: (40 + 59) / 2 = 49.5.

Question 7

The frequency distribution below summarizes employee years of service for Alpha Corporation. Find the class midpoint for class 1-5. $$\begin{array} { c | c } 
\text { Years of service } & \text { Frequency } \
\hline 1 - 5 & 5 \
6 - 10 & 20 \
11 - 15 & 25 \
16 - 20 & 10 \
21 - 25 & 5 \
26 - 30 & 3
\end{array}$$
A) 5.0
B) 2.5
C) 3.0
D) 3.5

Accepted Answer

The answer of The frequency distribution below summarizes employee years...

Question 8

The midterm test scores for the seventh-period typing class are listed below. $\begin{array} { l l l l l l l l l l l l l l l l } 85 & 77 & 93 & 91 & 74 & 65 & 68 & 97 & 88 & 59 & 74 & 83 & 85 & 72 & 63 & 79 \end{array}$

A)
$\begin{array}{l|ll}
5 & 9 & \
6 & 358 \
7 & 24479 \
8 & 3558 \
9 & 137
\end{array}$

B)
$\begin{array}{l|l}
5 & 9 \
6 & 358 \
7 & 3558 \
8 & 24479 \
9 & 137
\end{array}$

Accepted Answer

The correct answer is A because the frequency distribution table shows the number of scores that fall within each range of scores.

Question 9

The normal monthly precipitation (in inches) for August is listed for 39 different U.S. cities. Construct an expanded stemplot with about 9 rows. $\begin{array}{lllllllllllll}
3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 & 1.0 & 3.6 & 1.7 & 0.4 & 3.2 & 4.2 & 4.1 \
4.2 & 3.4 & 3.7 & 2.2 & 1.5 & 4.2 & 3.4 & 2.7 & 4.0 & 2.0 & 0.8 & 3.6 & 3.7 \
0.4 & 3.7 & 2.0 & 3.6 & 3.8 & 1.2 & 4.0 & 3.1 & 0.5 & 3.9 & 0.1 & 3.5 & 3.4
\end{array}$
A)
$\begin{array} { l|ll  } 
0.&1&4&4\0.&5&8\1.&0&2\ 1.&5&6&7\ 2.&0&0&2&4\2.&7&\3.&1&2&4&4&4\3.&5&5&6&6&6&7&7&7&7&8&9\4.&0&0&1&1&2&2&2
\end{array}$

B)
$\begin{array} { l|ll  } 
0.&0&1&4&4\0.&5&8\1.&0&2\1.&5&6&7\2.&0&0&2&4\2.&7&7&7\3.&1&2&4&4&4\3.&5&5&6&6&6&7&7&8&9\4.&0&0&1&1&2&2&2
\end{array}$

Accepted Answer

The stemplot has 9 rows, and the stems are arranged in order from 0 to 4. Each row contains the leaves for a particular stem. The leaves are arranged in order from smallest to largest.

Question 10

At the National Criminologists Association's annual convention, participants filled out a questionnaire asking what they thought was the most important cause for criminal behavior. The Tally was as follows. 
$$\begin{array} { r | r } 
\text { Cause } & \text { Frequency } \
\hline \text { education } & 47.1 \
\text { drugs } & 141.3 \
\text { family } & 94.2 \
\text { poverty } & 164.85 \
\text { other } & 23.55
\end{array}$$
 
Construct a Pareto chart to display these findings. 
A)

B)

C)

D)

Accepted Answer

The answer of At the National Criminologists Association's annual convention,...

Question 11

The following data consists of the weights (in pounds) of 15 randomly selected women and the weights of 15 randomly selected men. Construct a back-to-back stemplot for the data. $$\begin{array}{l}
\begin{array} { r l l l l l } 
\text { Women: } & 128 & 150 & 118 & 166 & 142 \
&122 & 137 & 110 & 175 & 152 \
&145 & 126 & 139 & 111 & 170
\\
\text { Men: } & 140 & 153 & 199 & 186 & 169 \
& 136 & 176 & 162 & 196 & 155 \
& 173 & 190 & 141 & 166 & 153
\end{array}\
\end{array}$$

A)
$\begin{array}{ll|l|lll}
\text { Men } & &&& \text { Women } \
\hline & & 11 & 0 & 1 & 8 \
& & 12 & 2 & 6 & 8 \
& & 6 & 13 & 7 & 9 \
& 1 & 0 & 14 & 2 & 5 \
5 & 3 & 3 & 15 & 0 & 2 \
9 & 6 & 2 & 16 & 6 & \
& 6 & 3 & 17 & 0 & 5 \
& & 6 & 18 & & \
9 & 6 & 0 & 19 & &
\end{array}$

B)
$\begin{array}{lll|l|lll}
\text { Men } & &&& \text { Women } \
\hline & & &11&0&1\
&&&12&2&6&8\&&6&13&7&9\&1&0&14&2&5\5&3&3&15&0&2&4\9&6&2&16&6&\&6&3&17&0&5\&9&6&18\&9&6&19\
\end{array}$

Accepted Answer

The correct stemplot should have the women's weights on the left and the men's weights on the right, with a vertical line separating the two sets of data. The stems should be the tens digits of the weights, and the leaves should be the ones digits.

Question 12

The weights of 22 members of the varsity football team are listed below.

$\begin{array}{lllllllllll}
144 & 152 & 142 & 151 & 160 & 152 & 131 & 164 & 141 & 153 & 140\144 & 175 & 156 & 147 & 133 & 172 & 159 & 135 & 159 & 148 & 171
\end{array}$

A)
$\begin{array} { l|lll  } 
13&1&3&5\14&0&1&2&4&4&7&8\15&1&2&2&3&6&9&9\16&0&4\17&1&2&5
\end{array}$

B)
$\begin{array} { l|lll  } 
13&1&3&5\14&1&2&2&3&6&9&9\15&0&1&2&4&4&7&8\16&0&4\17&1&2&5
\end{array}$

Accepted Answer

The frequency table shows that there is one weight of 131, three weights of 133, five weights of 135, and so on.

Question 13

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.

$$\begin{array} { r | r } 
\text { Vehicle } & \text { Sales } \
\hline \text { Economy } & 30 \
\text { Sports } & 7.5 \
\text { Family } & 52.5 \
\text { Luxury } & 15 \
\text { Truck } & 45
\end{array}$$
 Construct a Pareto chart to help him decide.

A)

B)

C)

D)

Accepted Answer

The answer of A car dealer is deciding what kinds...

Question 14

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. What class width was used to construct the relative frequency distribution?

A) 9
B) 11
C) 100
D) 10

Accepted Answer

The answer of A nurse measured the blood pressure of...

Question 15

The following data represent the number of cars passing through a toll booth during a certain time period over a number of days.

$\begin{array} { l l l l l l l l l l l l l l l } 38 & 39 & 37 & 37 & 44 & 38 & 41 & 38 & 39 & 35 & 42 & 39 & 43 & 37 & 41 \end{array}$

A)

B)

C)

D)

Accepted Answer

The answer of The following data represent the number of...

Question 16

Construct the cumulative frequency distribution that corresponds to the given frequency distribution.

-$\begin{array}{r|c}
\text { Height (inches) } & \text { Frequency } \
\hline 69.0-71.9 & 18 \
72.0-74.9 & 22 \
75.0-77.9 & 20 \
78.0-80.9 & 16 \
81.0-83.9 & 4
\end{array}$

A)
$\begin{array}{r|c}
\text { Height (inches) } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline 69.0-71.9 & 18 \
72.0-74.9 & 40 \
75.0-77.9 & 60 \
78.0-80.9 & 76 \
81.0-83.9 & 80
\end{array}$

B)
$\begin{array}{r|c}
\text { Height (inches) } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 72.0 & 18 \
\text { Less than } 75.0 & 40 \
\text { Less than } 78.0 & 60 \
\text { Less than } 81.0 & 76 \
\text { Less than } 84.0 & 80
\end{array}$

C)
$\begin{array}{r|c}
\text { Height (inches) } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 72.0 } & 40 \
\text { Less than 75.0 } & 60 \
\text { Less than 78.0 } & 76 \
\text { Less than 81.0 } & 80 \
\text { Less than 84.0 } & 84
\end{array}$

D)
$\begin{array}{r|c}
\text { Height (inches) } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 72.0 } & 0.225 \
\text { Less than 75.0 } & 0.275 \
\text { Less than 78.0 } & 0.250 \
\text { Less than } 81.0 & 0.200 \
\text { Less than 84.0 } & 0.050
\end{array}$

Accepted Answer

The answer of Construct the cumulative frequency distribution that corresponds...

Question 17

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 180.
A) 7
B) 10
C) 8
D) 9

Accepted Answer

The ideal number of classes is 8.Sturges' guideline suggests that the ideal number of classes can be approximated by $1 + ( \log n ) / ( \log 2 )$ where n is the number of data values.When the number of data values is 180, the ideal number of classes is $1 + ( \log 180 ) / ( \log 2 )$ = $1 + ( 2.255 ) / ( 0.301 )$ = $1 + 7.49$ = 8.

Question 18

Attendance records at a school show the number of days each student was absent during the year. The days absent for each student were as follows. $\begin{array} { l l l l l l l l l l l l l l l } 0 & 2 & 3 & 4 & 2 & 3 & 4 & 6 & 7 & 2 & 3 & 4 & 6 & 9 & 8 \end{array}$

A)

B)

C)

D)

Accepted Answer

The answer of Attendance records at a school show the...

Question 19

The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class. $$\begin{array} { c | c } 
\text { Years of service } & \text { Frequency } \
\hline 1 - 5 & 5 \
6 - 10 & 20 \
11 - 15 & 25 \
16 - 20 & 10 \
21 - 25 & 5 \
26 - 30 & 3
\end{array}$$
A) 4
B) 10
C) 6
D) 5

Accepted Answer

The width of each class is determined by subtracting the lower limit of a class from the lower limit of the next class. For example, 6 - 1 = 5.

Question 20

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number.
Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive? 
A) 3.5%
B) 35%
C) 30%
D) 0.35%

Accepted Answer

The answer of A nurse measured the blood pressure of...

Quiz 2: Summarizing and Graphing Data

Construct the cumulative frequency distribution that corresponds to the given frequency distribution - $\begin{array}{c|c}\text { Speed } & \begin{array}{c}\text { Number } \\\text { of cars }\end{array} \\\hline 0-29 & 4 \\30-59 & 16 \\60-89 & 60 \\90-119 & 20\end{array}$

The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

The attendance counts for this season's basketball games are listed below. $\begin{array} { l l l l } 227 & 239 & 215 & 219 \\221 & 233 & 229 & 233 \\235 & 228 & 245 & 231\end{array}$

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

The midterm test scores for the seventh-period typing class are listed below. $\begin{array} { l l l l l l l l l l l l l l l l } 85 & 77 & 93 & 91 & 74 & 65 & 68 & 97 & 88 & 59 & 74 & 83 & 85 & 72 & 63 & 79 \end{array}$

The weights of 22 members of the varsity football team are listed below. $\begin{array}{lllllllllll}144 & 152 & 142 & 151 & 160 & 152 & 131 & 164 & 141 & 153 & 140\\144 & 175 & 156 & 147 & 133 & 172 & 159 & 135 & 159 & 148 & 171\end{array}$

The following data represent the number of cars passing through a toll booth during a certain time period over a number of days. $\begin{array} { l l l l l l l l l l l l l l l } 38 & 39 & 37 & 37 & 44 & 38 & 41 & 38 & 39 & 35 & 42 & 39 & 43 & 37 & 41 \end{array}$

Construct the cumulative frequency distribution that corresponds to the given frequency distribution. - $\begin{array}{r|c}\text { Height (inches) } & \text { Frequency } \\\hline 69.0-71.9 & 18 \\72.0-74.9 & 22 \\75.0-77.9 & 20 \\78.0-80.9 & 16 \\81.0-83.9 & 4\end{array}$

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 180.

Quiz 2: Summarizing and Graphing Data

A manufacturer records the number of errors each work station makes during the week. The data are as follows. 6323520254201\begin{array} { l l l l l l l l l l l l l } 6 & 3 & 2 & 3 & 5 & 2 & 0 & 2 & 5 & 4 & 2 & 0 & 1 \end{array}6​3​2​3​5​2​0​2​5​4​2​0​1​

The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

The attendance counts for this season's basketball games are listed below. 227239215219221233229233235228245231\begin{array} { l l l l } 227 & 239 & 215 & 219 \\221 & 233 & 229 & 233 \\235 & 228 & 245 & 231\end{array}227221235​239233228​215229245​219233231​

The attendance counts for this season's basketball games are listed below. $\begin{array} { l l l l } 227 & 239 & 215 & 219 \\221 & 233 & 229 & 233 \\235 & 228 & 245 & 231\end{array}$