Question 1

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for luau, and two for masquerade. Which of these choices display the correct
Pareto chart? 
A)

B)

C)

D)

Accepted Answer

The answer of The Kappa Iota Sigma Fraternity polled its...

Question 2

The following data represent the number of cars passing through a toll booth during a certain time period over a number of days. $$\begin{array} { l l l l l l l l l l l l l l l } 
38 & 39 & 37 & 37 & 44 & 38 & 41 & 38 & 39 & 35 & 42 & 39 & 43 & 37 & 41
\end{array}$$ Which of these choices display the correct dotplot? 
A)
Number of Cars Passing Through a Toll Booth

B)
$\text { Number of Cars Passing Through }$

C)
Number of Cars Passing Through a Toll Booth

D)
Number of Cars Passing Through a Toll Booth

Accepted Answer

Choice A correctly displays the data with dots representing each observation and a clear scale on the horizontal axis. The other choices either have incorrect scales or incorrectly labeled axes.

Question 3

The following frequency distribution displays the scores on a math test. Find the class boundaries of scores interval 40-59. $$\begin{array} { | c c | } 
\hline \text { Scores } & \text { Number of Students } \
50 - 59 & 2 \
60 - 69 & 4 \
70 - 79 & 6 \
80 - 89 & 15 \
90 - 99 & 5 \
\hline
\end{array}$$
A) 50.5, 58.5
B) 49.5, 58.5
C) 50.5, 59.5
D) 49.5, 59.5

Accepted Answer

The class boundaries are found by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class limit. For the interval 50-59, the boundaries are 49.5 and 59.5.

Question 4

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. $$\begin{array} { | r | c | } 
\hline \text { Sale Price (in thousand \$) } & \text { Frequency } \
\hline 80.0 - 110.9 & 2 \
111.0 - 141.9 & 5 \
142.0 - 172.9 & 7 \
173.0 - 203.9 & 10 \
204.0 - 234.9 & 3 \
235.0 - 265.9 & 1 \
\hline
\end{array}$$
A) 28
B) 61
C) 30
D) 31

Accepted Answer

The width of each class is 31, which is the difference between the upper and lower limits of any class.

Question 5

The following data show the number of laps run by each participant in a marathon. $\begin{array} { l l l l l l l l l l l l } 46 & 65 & 55 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56 \end{array}$
Which of these choices display the correct stemplot?
A)

B)

Accepted Answer

A stemplot shows the data by dividing each data point into a stem (the leftmost digits) and a leaf (the rightmost digit). To create a stemplot for this data, we first list the stems in a column from least to greatest. Then, for each leaf in the data set, we write the leaf to the right of the corresponding stem.

Using choice A, the stemplot would be:
```
3 | 0
4 | 3 6
5 | 1 5 6 7
6 | 5
```

However, this stemplot doesn't accurately represent the data. Notice that there are two 3s in the data set, but only one appears in the plot.

Using choice B, the stemplot would be:
```
3 | 0 2
4 | 3
5 | 1 5 6 7 9
6 | 5
```

This stemplot accurately represents the data because it includes both 3s in the data set and correctly shows the distribution of the data. Therefore, choice B is the correct answer.

Question 6

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 years. 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 mm Hg inclusive? 
A) 0.35%
B) 30%
C) 35%
D) 3.5%

Accepted Answer

The relative frequency of the histogram shows the proportion of individuals with a specific range of blood pressure. To find the approximate percentage of people aged 25-40 with systolic blood pressure readings between 110 and 119 mm Hg inclusive, we need to sum up the relative frequencies of the bars in that range. This includes the bars with a lower limit of 110 up to and including the bar with an upper limit of 119. Looking at the histogram, we see that this corresponds to a total relative frequency of approximately 0.35 + 0.00 + 0.00 + 0.00 = 0.35 or 35%. Therefore, the answer is C.

Question 7

According to USA Today, the largest categories of sports equipment sales are as follows: fishing ($2.0 billion); firearms and hunting ($3.1 billion); camping ($1.7 billion); golf ($2.5 billion). What type of graph would depict
These different categories and their relative amounts the best?
A) A Pareto chart
B) A pie chart
C) A bar chart
D) A column chart

Accepted Answer

The answer of According to USA Today, the largest categories...

Question 8

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

Accepted Answer

The width of each class is the difference between the upper bound and lower bound of each class interval. 
For example, the width of the first interval 1-5 is 5-1=4. 
Therefore, the width of each class is 4 years.

Question 9

Smoking and the episodes of lung cancer have a high correlation, but it does not prove ________.
A) exponentiation
B) correlation
C) causation
D) a linear relationship

Accepted Answer

A high correlation between smoking and lung cancer does not prove a causation. Correlation only shows a relationship between two variables, but it does not necessarily mean that one variable causes the other.

Question 10

The linear ________ coefficient denoted by r measures the ________ of the linear association between two variables.
A) correlation; strength
B) squares; weakness
C) probability; likelihood
D) exponential; exponent

Accepted Answer

The linear correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. The closer r is to 1 or -1, the stronger the linear association, while a value of 0 indicates no linear relationship. Therefore, choice A is the correct answer as it correctly identifies r as measuring the strength of the linear association between two variables.

Question 11

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. $$\begin{array}{l}
\begin{array} { | l l l l l l l l l l l l l l l | } 
\hline 0 & 2 & 3 & 4 & 2 & 3 & 4 & 6 & 7 & 2 & 3 & 4 & 6 & 9 & 8 \
\hline
\end{array}\
\text { Which of these choices display the correct dotplot? }
\end{array}$$

A)

B)

C)

D)

Accepted Answer

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

Question 12

Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to
20 people at a grocery store. Four ice cream tasters preferred the Strawberry Cream, 12 preferred Choco-Nuts, And four loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical Scale so that the relative frequencies are represented.
A)

B)

C)

D)

Accepted Answer

The answer of Wagenlucht Ice Cream Company is always trying...

Question 13

A manufacturer records the number of errors each work station makes during the week. The data are as follows. $\begin{array}{lllllllllllll}
6 & 3 & 2 & 3 & 5 & 2 & 0 & 2 & 5 & 4 & 2 & 0 & 1
\end{array}$
$\text { Which of these choices display the correct dotplot? }$

A)
Number of Errors for the Week for Workstations

B)
Number of Errors for the Week for Workstations

C)
Number of Errors for the Week for Workstations

D)
Number of Errors for the Week for Workstations

Accepted Answer

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

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 years. 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 139 mm Hg inclusive? 
A) 75%
B) 59%
C) 39%
D) 89%

Accepted Answer

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

Question 15

The following frequency distribution depicts the scores on a math test. Find the class midpoint of scores for the interval 95-99. $$\begin{array} { c c } 
\hline \text { Scores } & \text { Number of Students } \
\hline 75 - 79 & 2 \
\hline 80 - 84 & 4 \
\hline 85 - 89 & 6 \
\hline 90 - 94 & 15 \
\hline 95 - 99 & 5
\end{array}$$
A) 98.0
B) 97.0
C) 96.5
D) 97.5

Accepted Answer

The answer of The following frequency distribution depicts the scores...

Question 16

Identify the cumulative frequency distribution that corresponds to the given frequency distribution. $\begin{array}{r|c}
\text { Speed } & \begin{array}{l}
\text { Number } \
\text { of Cars }
\end{array} \
\hline 0-29 & 4 \
30-59 & 16 \
60-89 & 60 \
90-119 & 20
\end{array}$
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)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 0.04 \
\text { Less than 60 } & 0.20 \
\text { Less than 90 } & 0.80 \
\text { Less than } 120 & 1.00
\end{array}$

C)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 30 } & 100 \
\text { Less than 60 } & 80 \
\text { Less than } 90 & 82 \
\text { Less than } 120 & 4
\end{array}$

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

Accepted Answer

To find the cumulative frequency, we add up the frequencies for each speed interval starting from the lowest speed interval. In this case, we have:

- Less than 30: 4 cars
- Less than 60: 4 + 16 = 20 cars
- Less than 90: 20 + 60 = 80 cars
- Less than 120: 80 + 20 = 100 cars

Therefore, the cumulative frequency distribution that corresponds to the given frequency distribution is A.

Question 17

The histogram below represents the number of television sets per household for a sample of U.S. households. What is the sample size? 
A) 100
B) 5
C) 90
D) 50

Accepted Answer

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

Question 18

The ages of the 45 members of a track and field team are listed below. Which of these choices display the correct stemplot? $\begin{array}{lllllllllllllll}
21 & 18 & 42 & 35 & 32 & 21 & 44 & 25 & 38 & 48 & 14 & 19 & 23 & 22 & 28 \
32 & 34 & 27 & 31 & 17 & 16 & 41 & 37 & 22 & 24 & 33 & 32 & 21 & 26 & 30 \
22 & 27 & 32 & 30 & 20 & 18 & 17 & 21 & 15 & 26 & 36 & 31 & 40 & 16 & 25
\end{array}$

A)

B)

Accepted Answer

To make a stemplot, we need to split each observation into a stem (the tens digit) and a leaf (the ones digit). Then, we order the stems from least to greatest and write them in a vertical column. Write the corresponding leaf for each observation next to its stem. The stems should be equally spaced and easy to read.

Using this method, we get the following stemplot for the given data:

1 | 4 5 6 
2 | 1 2 2 3 4 5 6 7 8 
3 | 0 1 2 2 2 3 4 5 6 7 8 
4 | 1 2 4

The stemplot in choice A is incorrect because it includes stems for observations that aren't in the data set (such as 0 or 9).

Question 19

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the class midpoint (in thousand $) for the class 235.0-265.9. $$\begin{array} { | c | c | } 
\hline \text { Sale Price (in thousand \$) } & \text { Frequency } \
\hline 80.0 - 110.9 & 2 \
111.0 - 141.9 & 5 \
142.0 - 172.9 & 7 \
173.0 - 203.9 & 10 \
204.0 - 234.9 & 3 \
235.0 - 265.9 & 1 \
\hline
\end{array}$$
A) 250.4
B) 250.55
C) 250.5
D) 250.45

Accepted Answer

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

Question 20

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

A)

B)

Accepted Answer

To create a back-to-back stemplot, the first step is to organize the data into a stem-and-leaf chart for each group. Then, the stems are placed in the middle and the leaves are mirrored on either side. In this case, the stems for women's weights range from 11 to 17, while men's weights range from 13 to 19.

Choice A has the stems for both groups centered, but the leaves for women's weights are on the left and the leaves for men's weights are on the right. This makes it difficult to compare the two distributions.

Choice B correctly places the stems in the middle and mirrors the leaves on either side. This allows for easy comparison between the two distributions.

Quiz 2: Exploring Data With Tables and Graphs

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for luau, and two for masquerade. Which of these choices display the correct Pareto chart?

The following frequency distribution displays the scores on a math test. Find the class boundaries of scores interval 40-59. $\begin{array} { | c c | } \hline \text { Scores } & \text { Number of Students } \\50 - 59 & 2 \\60 - 69 & 4 \\70 - 79 & 6 \\80 - 89 & 15 \\90 - 99 & 5 \\\hline\end{array}$

The following data show the number of laps run by each participant in a marathon. $\begin{array} { l l l l l l l l l l l l } 46 & 65 & 55 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56 \end{array}$ Which of these choices display the correct stemplot?

According to USA Today, the largest categories of sports equipment sales are as follows: fishing ($2.0 billion) ; firearms and hunting ($3.1 billion) ; camping ($1.7 billion) ; golf ($2.5 billion) . What type of graph would depict These different categories and their relative amounts the best?

Smoking and the episodes of lung cancer have a high correlation, but it does not prove ________.

The linear coefficient denoted by r measures the of the linear association between two variables.

A manufacturer records the number of errors each work station makes during the week. The data are as follows. $\begin{array}{lllllllllllll}6 & 3 & 2 & 3 & 5 & 2 & 0 & 2 & 5 & 4 & 2 & 0 & 1\end{array}$ $\text { Which of these choices display the correct dotplot? }$

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

The histogram below represents the number of television sets per household for a sample of U.S. households. What is the sample size?