Question 1

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
-Describe any similarities or differences in the two distributions represented by the following boxplots. Assume
the two boxplots have the same scale.

Accepted Answer

The answer of Construct a boxplot for the given data....

Question 2

Find the midrange for the given sample data.
-Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange. $$\begin{array} { l l l l l l l l l l l l l l } 
11 & 21 & 29 & 35 & 49 & 57 & 61 & 61 & 71 & 76 & 85 & 93 & 132 & 142
\end{array}$$

Accepted Answer

A)  65.5 months 
B)  76.5 months 
C)  61 months 
D)  65.9 months

Question 3

The race speeds (in minutes) for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. $$\begin{array} { l l l l l l l l } 
181.0 & 180.6 & 189.2 & 182.2 & 175.6 & 180.0 & 177.9 & 181.8
\end{array}$$

Accepted Answer

A)  7.5 minutes 
B)  6.8 minutes 
C)  3.4 minutes 
D)  1.1 minutes

Question 4

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
-The weights (in ounces) of 27 tomatoes are listed below. $\begin{array} { l l l l l l l l l } 1.7 & 2.0 & 2.2 & 2.2 & 2.4 & 2.5 & 2.5 & 2.5 & 2.6 \ 2.6 & 2.6 & 2.7 & 2.7 & 2.7 & 2.8 & 2.8 & 2.8 & 2.9 \ 2.9 & 2.9 & 3.0 & 3.0 & 3.1 & 3.1 & 3.3 & 3.6 & 4.2 \end{array}$

Accepted Answer

A)  Outliers: $1.7 \mathrm { oz } , 3.6 \mathrm { oz } , 4.2 \mathrm { oz }$
 
B)  Outliers: $1.7 \mathrm { oz } , 4.2 \mathrm { oz }$
 
C)  Outlier: $4.2 \mathrm { oz }$
 
D)  No outliers

Question 5

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in
the original data.
-To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $\begin{array}{|llllllll}
\$ 356 & \$ 169 & \$ 293 & \$ 267 & \$ 386 & \$ 288 & \$ 318 & \$ 275
\end{array}$

Accepted Answer

A)  $721,124.0 
B)  $691,488.0 
C)  $65.1 
D)  $330.5

Question 6

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal
place.
-The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second
System in which each caller is immediately connected with a live agent. A quality control manager selects a
Sample of seven calls each day. He records the time for each customer to have his or her question answered. The
Times (in minutes) are listed below. $\begin{array} { l l l l l l l } \text { Automated Menu: } 11.7 & 7.4 & 3.9 & 2.9 & 9.2 & 6.3 & 5.5 \end{array}$
$\begin{array} { l l l l l l l l l } \text { Live agent: } & 6.2 & 2.9 & 4.4 & 4.1 & 3.4 & 5.2 & 3.7 \end{array}$

Accepted Answer

A)  Automated Menu: $45.4 \%$
Live agent: 26.3\%
There is substantially more variation in the times for the automated menu system. 
B)  Automated Menu: 25.2\%
Live agent: $41.5 \%$
There is substantially more variation in the times for the live agent. 
C)  Automated Menu: $47.1 \%$
Live agent: 27.3\%
There is substantially more variation in the times for the automated menu system. 
D)  Automated Menu: $48.8 \%$
Live agent: 28.3\%
There is substantially more variation in the times for the automated menu system.

Question 7

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal
place.
-Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights (in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed below. $\begin{array} { l l l l l l l l l l } \text { Heights (inches): } & 58.7 & 61.4 & 62.1 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \end{array}$

Accepted Answer

A)  Heights: $4.1 \%$
Weights: $15.2 \%$
There is substantially more variation in the weights than in the heights of the girls. 
B)  Heights: $11.8 \%$
Weights: $6.3 \%$
There is substantially more variation in the heights than in the weights of the girls. 
C)  Heights: 4.3\%
Weights: $16.0 \%$
There is substantially more variation in the weights than in the heights of the girls. 
D)  Heights: $4.5 \%$
Weights: $16.8 \%$
There is substantially more variation in the weights than in the heights of the girls.

Question 8

Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.
-When investigating times required for drive-through service, the following results (in seconds) were obtained. $ \begin{array}{lllllllll}\text { Restaurant A } & 120 & 123 & 153 & 128 & 124 & 118 & 154 & 110\end{array} $
$ \begin{array}{lllllllll}\text { Restaurant B } & 115 & 126 & 147 & 156 & 118 & 110 & 145 & 137\end{array} $

Accepted Answer

A) 
$\begin{array} { l l l l l l l l l } \text { Restaurant A } & 120 & 123 & 153 & 128 & 124 & 118 & 154 & 110 \end{array}$
Restaurant B: $46 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant A. 
B)  Restaurant A: $46 \mathrm { sec } ; 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $44 \mathrm { sec } ; ^ { 285 } .64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant $B$. 
C)  Restaurant A: $44 \mathrm { sec } _ { ; } 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $46 \mathrm { sec } ^ { ; } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant B. 
D)  Restaurant A: $44 \mathrm { sec } ^ { * } 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $46 \mathrm { sec } ^ { ; } ; 245.64 \mathrm { sec } ^ { 2 } ; 15.67 \mathrm { sec }$
There is more variation in the times for restaurant A.

Question 9

Approximately what percentage of apple diameters is greater than the 66th percentile?

Accepted Answer

A)  3.4% 
B)  17% 
C)  34% 
D)  66%

Question 10

Determine which score corresponds to the higher relative position.
-Which score has a higher relative position, a score of 271.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6?

Accepted Answer

A)  A score of 63.6 
B)  Both scores have the same relative position. 
C)  A score of 271.2

Question 11

Find the mode(s) for the given sample data.
-$\begin{array} { l l l l l l l } 20 & 42 & 46 & 42 & 49 & 42 & 49 \end{array}$

Accepted Answer

A)  46 
B)  49 
C)  $41.4$ 
D)  42

Question 12

The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second
System in which each caller is immediately connected with a live agent. A quality control manager selects a
Sample of seven calls each day. He records the time for each customer to have his or her question answered. The
Times (in minutes) are listed below. Find the coefficient of variation for each of the two sets of data, then compare the
Variation. Round results to one decimal place. $\begin{array}{llllllll}
\text { Automated Menu: } & 11.7 & 7.4 & 3.9 & 2.9 & 9.2 & 6.3 & 5.5 \
\text { Live agent: } & 6.2 & 2.9 & 4.4 & 4.1 & 3.4 & 5.2 & 3.7
\end{array}$

Accepted Answer

A)  Automated Menu: 47.1% Live agent: 27.3% There is substantially more variation in the times for the automated menu system. 
B)  Automated Menu: 45.4% Live agent: 26.3% There is substantially more variation in the times for the automated menu system. 
C)  Automated Menu: 48.8% Live agent: 28.3% There is substantially more variation in the times for the automated menu system. 
D)  Automated Menu: 25.2% Live agent: 41.5% There is substantially more variation in the times for the live agent.

Question 13

Solve the problem.
-The data below consists of the heights (in inches) of 20 randomly selected women. Find the 10% trimmed mean of the data set. The 10% trimmed mean is found by arranging the data in order, deleting the bottom 10% of the
Values and the top 10% of the values and then calculating the mean of the remaining values. $\begin{array} { l l l l l l l l l l } 67 & 68 & 64 & 61 & 65 & 64 & 70 & 67 & 62 & 63 \end{array}$
$\begin{array} { l l l l l l l l l l } 61 & 64 & 75 & 67 & 60 & 59 & 64 & 68 & 65 & 71 \end{array}$

Accepted Answer

A)  52.0 in. 
B)  65.1 in. 
C)  65.3 in. 
D)  65.0 in.

Question 14

Find the variance for the given data. Round your answer to one more decimal place than the original data.
-The weights (in ounces) of 10 cookies are shown. $\begin{array} { l l l l l } 1.4 & 0.99 & 1.37 & 0.58 & 0.68 \end{array}$
$\begin{array} { l l l l l } 0.57 & 1.1 & 0.96 & 1.2 & 1.27 \end{array}$

Accepted Answer

A)  $0.08 \mathrm { oz } ^ { 2 }$ 
B)  $0.088 \mathrm { oz } ^ { 2 }$ 
C)  $0.098 \mathrm { oz } ^ { 2 }$ 
D)  $0.074 \mathrm { oz } ^ { 2 }$

Question 15

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
-Describe any similarities or differences in the two distributions represented by the following boxplots. Assume
the two boxplots have the same scale.

Accepted Answer

The answer of Construct a boxplot for the given data....

Question 16

Solve the problem.
-Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. $$\begin{array} { l l l l l l l l l l l l } 
24 & 31 & 47 & 29 & 31 & 16 & 48 & 41 & 50 & 54 & 37 & 22
\end{array}$$

Accepted Answer

A)  54 
B)  16 
C)  7 
D)  38

Question 17

How will a high outlier in a data set affect the mean and median?

Accepted Answer

A)  Distribution skewed to the right, mean not effected, median skewed to the right 
B)  Distribution skewed to the left, mean pulled to the left, median not effected 
C)  Distribution skewed to the right, mean pulled to the right, median not effected 
D)  Distribution skewed to the right, mean not effected, median not effected

Question 18

Provide an appropriate response.
-Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Accepted Answer

A)  96.70°F 
B)  95.79°F 
C)  99.13°F 
D)  97.27°F

Question 19

Solve the problem.
-The signal-to-noise ratio of a set of data is obtained by dividing the mean by the standard deviation. Find the signal-to-noise ratio for the following sample of weights (in pounds): $$\begin{array} { l l l l l } 
128 & 147 & 186 & 105 & 197 \
155 & 172 & 130 & 116 & 125
\end{array}$$

Accepted Answer

A)  4.9 
B)  4.5 
C)  0.2 
D)  4.7

Question 20

Solve the problem.
-The 10% trimmed mean of a data set is found by arranging the data in order, deleting the bottom 10% of the
values and the top 10% of the values and then calculating the mean of the remaining values. What advantages
do you think that the trimmed mean has as compared to the mean?

Accepted Answer

The answer of Solve the problem.
-The 10% trimmed mean of...

Exam 3: Describing, Exploring, and Comparing Data

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

The race speeds (in minutes) for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. $\begin{array} { l l l l l l l l } 181.0 & 180.6 & 189.2 & 182.2 & 175.6 & 180.0 & 177.9 & 181.8\end{array}$

Approximately what percentage of apple diameters is greater than the 66th percentile?

Determine which score corresponds to the higher relative position. -Which score has a higher relative position, a score of 271.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6?

Find the mode(s) for the given sample data. - $\begin{array} { l l l l l l l } 20 & 42 & 46 & 42 & 49 & 42 & 49 \end{array}$

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Solve the problem. -Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. $\begin{array} { l l l l l l l l l l l l } 24 & 31 & 47 & 29 & 31 & 16 & 48 & 41 & 50 & 54 & 37 & 22\end{array}$

How will a high outlier in a data set affect the mean and median?

Provide an appropriate response. -Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Solve the problem. -The 10% trimmed mean of a data set is found by arranging the data in order, deleting the bottom 10% of the values and the top 10% of the values and then calculating the mean of the remaining values. What advantages do you think that the trimmed mean has as compared to the mean?

Exam 3: Describing, Exploring, and Comparing Data

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Approximately what percentage of apple diameters is greater than the 66th percentile?

Determine which score corresponds to the higher relative position. -Which score has a higher relative position, a score of 271.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6?

Find the mode(s) for the given sample data. - 20424642494249\begin{array} { l l l l l l l } 20 & 42 & 46 & 42 & 49 & 42 & 49 \end{array}20​42​46​42​49​42​49​

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

How will a high outlier in a data set affect the mean and median?

Provide an appropriate response. -Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Solve the problem. -The 10% trimmed mean of a data set is found by arranging the data in order, deleting the bottom 10% of the values and the top 10% of the values and then calculating the mean of the remaining values. What advantages do you think that the trimmed mean has as compared to the mean?

Find the mode(s) for the given sample data. - $\begin{array} { l l l l l l l } 20 & 42 & 46 & 42 & 49 & 42 & 49 \end{array}$