Question 1

Students in a Political Science course were asked to describe their politics as "Liberal","Moderate",or "Conservative." The results are listed in the table below. $$\begin{array}{l}
\begin{array} { | l | c c c | c | } &\text { Politics }\
\hline sex& \text { Liberal } & \text { Moderate } & \text { Conservative } & \text { Total } \
\hline \text { Female } & 45 & 49 & 8 & 102 \
\text { § } & 64 & 53 & 29 & 146 \
\hline \text { Male } & 64 & 102 & 37 & 248 \
\hline \text { Total } & 109 & 148
\end{array}
\end{array}$$ Create a segmented bar graph which shows the conditional distributions by gender for each political category.

Accepted Answer

The answer of Students in a Political Science course were...

Question 2

The table compares what students at a Canadian college did after graduating in 1992,1998,and 2003. $\begin{array}{|l|ccc|}
&&year\
\hline plans& 1992 & 1998 & 2003 \
\hline \text { Continuing education } & 436 & 582 & 772 \
\text { Employed } & 679 & 758 & 801 \
\text { In the military } & 78 & 60 & 51 \
\text { Other } & 52 & 92 & 87 \
\hline
\end{array}$ Create a segmented bar graph which shows the conditional distributions of plans for each of the three years.

Accepted Answer

The answer of The table compares what students at a...

Question 3

The City of Windsor Department of Parks and Recreation is planning to build a recreation centre in one of the city's parks.They conducted a poll to find out the types of physical activities the local population would be interested in.The poll was based on telephone responses from 1013 randomly selected adults.The table shows the percentages of people who expressed interest in various activities. $$\begin{array} { l | c } 
{ \text { Activity } } & \text { Percent } \
\hline \text { Running/Walking } & 56 \
\text { Weight Training } & 48 \
\text { Biking } & 33 \
\text { Aerobics } & 25 \
\text { Swimming } & 13
\end{array}$$ Create a bar chart for these data.

Accepted Answer

The answer of The City of Windsor Department of Parks...

Question 4

A college examined the impact of an applicant's ethnicity on the likelihood of admission to a particular program.The data are summarized in the table below. $\begin{array}{|l|ccc|c}
&&\text { Admission Decision}\
\hline \text {EHTNICITY }& \text { Accepted } & \text { Wait-listed } & \text { Tumed away } & \text { Total } \
\hline \text { Black/Hispanic } & 457 & 0 & 23 & 480 \
\text { Asian } & 109 & 56 & 137 & 302 \
\text { White } & 317 & 264 & 348 & 929 \
\hline \text { Total } & 883 & 320 & 508 & 1711
\end{array}$ What percent of Asian applicants were wait-listed?

Accepted Answer

A) 17.5% 
B) 3.3% 
C) 18.5% 
D) 36.1% 
E) 45.4%

Question 5

From a sample of individuals the following percentages are reported:
- 22% of the individuals said they drink beer and wine.
- 12% of the individuals said they drink neither beer nor wine.
- 35% of the individuals said they drink beer.
Create a contingency table with percentages describing the relationship between beer and wine drinkers.

Accepted Answer

The answer of From a sample of individuals the following...

Question 6

At a university in the U.S.A.,the incoming freshmen were surveyed about their chosen majors.The university organized the data by placing the majors into the appropriate colleges.The table displays the results for males and females by colleges.A graphical display of the conditional distributions of colleges by gender is given. $\begin{array}{|l|rc} 
&\text { Gender }\
college& \text { Male } & \text { Female } \
\hline \text { College of Liberal Arts and Sciences } & 1809 & 1918 \
\text { College of Business } & 905 & 804 \
\text { College of Education } & 312 & 247 \
\text { College of Visual and Performing Arts } & 94 & 124 \
\hline
\end{array}$  Do you think that the college the freshmen will be entering is independent of the gender of the student? Explain.

Accepted Answer

A) Yes.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is evidence of an association between gender and colleges. 
B) Yes.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is no evidence of an association between gender and colleges. 
C) No.The conditional distributions of colleges by gender vary.More male students will be entering the College of Business and the College of Education than female students.This is sufficient evidence of an association between gender and colleges. 
D) No.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is no evidence of an association between gender and colleges. 
E) No.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is evidence of an association between gender and colleges.

Question 7

A poll asked adults which activities they had engaged in during the past month.The results are listed below. $$\begin{array} { l | c } 
\text { Activity } & \text { Percent } \
\hline \text { Dinner out } & 55.7 \
\hline \text { Sporting event } & 15.9 \
\hline \text { Movie } & 45.6 \
\hline \text { Stroll } & 5.1
\end{array}$$ Is it reasonable to conclude that 61.5% of those polled had seen a movie or gone to a sporting event during the past month?

Accepted Answer

A) Yes,because these categories do not overlap. 
B) No,because the percentages in relative frequencies tables can never be added. 
C) Yes,because the percentages can always be added in relative frequency tables. 
D) No,because these categories overlap. 
E) No,because the poll is not based on a large enough number of individuals.

Question 8

The table below compares what students at a small Canadian university did after graduating with a bachelor's degree in 1992,1998,and 2003.A graphical display of the conditional distributions of what students did after graduation by year is given. $\begin{array}{|l|rrr|}
&year\
\hline plans& 1992 & 1998 & 2003 \
\hline \text { Continuing education } & 436 & 582 & 772 \
\text { Employed } & 679 & 758 & 801 \
\text { In the military } & 78 & 60 & 51 \
\text { Other } & 52 & 92 & 87 \
\hline
\end{array}$  Does this study present any evidence that postgraduation plans have changed over this 11-year period? Explain.

Accepted Answer

A) Yes.There is evidence that the percentage of graduates entering the work force after graduation has increased from 1992 to 2003.Likewise,the percentage of graduates continuing their education appears to have decreased from 1992 to 2003. 
B) Yes.There is evidence that the percentage of graduates continuing their education has increased from 1992 to 2003.Likewise,the percentage of graduates entering the work force after graduation appears to have decreased from 1992 to 2003. 
C) No.The percentage of graduates continuing their education has increased from 1992 to 2003.Likewise,the percentage of graduates entering the work force after graduation appears to have decreased from 1992 to 2003.However,this is not sufficient evidence to show any change due to the fact that those entering the military or seeking other options remained relatively constant. 
D) No.The percentage of graduates continuing their education has increased from 1992 to 2003.Likewise,the percentage of graduates entering the work force after graduation appears to have decreased from 1992 to 2003.However,this is not sufficient evidence to show any change due to the fact that the number of students graduating has increased over this same time period. 
E) Yes.There is evidence that the percentage of graduates continuing their education and entering the work force after graduation has increased from 1992 to 2003.

Question 9

The City of Windsor Department of Parks and Recreation is planning to build a recreation centre in one of the city's parks.They conducted a poll to find out which of five types of physical activities the local population would be interested in.The poll was based on telephone responses from 1013 randomly selected adults.The table shows the percentages of people who expressed interest in various activities. $$\begin{array} { l | c } 
{ \text { Activity } } & \text { Percent } \
\hline \text { Running/Walking } & 56 \% \
\text { Weight Training } & 48 \% \
\text { Biking } & 33 \% \
\text { Aerobics } & 25 \% \
\text { Swimming } & 13 \%
\end{array}$$ Which of the following displays is/are appropriate to describe the data for these five activities? (More than one display may be appropriate.)

Accepted Answer

A) I,II,III 
B) II,III 
C) II 
D) III 
E) None of these displays are appropriate.

Question 10

A prediction of the number of medals to be won by various countries in the 2014 Winter Olympics was made using past Olympics data.The predicted values are listed in the table below. $$\begin{array} { l | c } 
\text { Country } & \text { Medals } \
\hline \text { Germany } & 37 \
\text { USA } & 36 \
\text { Norway } & 27 \
\text { Canada } & 24 \
\text { Austria } & 16 \
\text { Russia } & 16 \
\text { Italy } & 15 \
\text { France } & 15 \
\text { Switzerland } & 13 \
\text { China } & 10
\end{array}$$ $$\begin{array} { l | c } 
\text { Country } & \text { Medals } \
\hline \text { Netherlands } & 5 \
\text { Finland } & 4 \
\text { Sweden } & 4 \
\text { Korea } & 3 \
\text { Bulgaria } & 3 \
\text { Great Britain } & 2 \
\text { Australia } & 2 \
\text { Japan } & 2 \
\text { Poland } & 1 \
\text { Spain } & 1
\end{array}$$ Which of the following displays is the most appropriate for these data? 
I 
 II  
III

Accepted Answer

A) I 
B) III 
C) II 
D) All of these displays are equally appropriate. 
E) None of these displays are appropriate.

Question 11

A survey of automobiles parked in student and staff lots at a large university classified the brands by region of origin,as seen in the table. $\begin{array}{|l|cc|}
&\text { Driver }\
\hline \text {origin }& \text { Student } & \text { Staff } \
\hline \text { North American } & 102 & 99 \
\text { European } & 30 & 17 \
\text { Asian } & 61 & 51 \
\hline
\end{array}$ What percent of all the cars surveyed were foreign (not North American)?

Accepted Answer

A) 44.2% 
B) 18.9% 
C) 13.1% 
D) 25.3% 
E) 31.1%

Question 12

A survey of automobiles parked in student and staff lots at a large university classified the brands by region of origin,as seen in the table. $\begin{array}{|l|cc|}
&\text { Driver }\
\hline \text {origin }& \text { Student } & \text { Staff } \
\hline \text { North American } & 107 & 91 \
\text { European } & 30 & 21 \
\text { Asian } & 63 & 57 \
\hline
\end{array}$ What percent of the staff owned North American cars?

Accepted Answer

A) 24.7% 
B) 116.7% 
C) 53.8% 
D) 53.5% 
E) 46%

Question 13

Of the 1470 applicants to a college program,760 were accepted,269 were wait-listed,and 441 were turned away for lack of space.Find the relative frequency distribution of the decisions made,and write a sentence describing it.

Accepted Answer

A) 1470 students applied for admission to the college program.52% were accepted,18% were wait-listed,and 30% were turned away. 
B) 1470 students applied for admission to the college program.52% were accepted,and 48% were turned away. 
C) 1470 students applied for admission to the college program.52% were accepted,35% were wait-listed,and 30% were turned away. 
D) 1470 students applied for admission to the college program.52% were accepted,35% were wait-listed,and 58% were turned away. 
E) 1470 students applied for admission to the college program.70% were accepted,and 30% were turned away.

Question 14

The City of Windsor Department of Parks and Recreation is planning to build a recreation centre in one of the city's parks.They conducted a poll to find out which of five types of physical activities the local population would be interested in.The poll was based on telephone responses from 1013 randomly selected adults.The table shows the percentages of people who expressed interest in various activities. $$\begin{array} { l | c } 
{ \text { Activity } } & \text { Percent } \
\hline \text { Running/Walking } & 56 \% \
\text { Weight Training } & 48 \% \
\text { Biking } & 33 \% \
\text { Aerobics } & 25 \% \
\text { Swimming } & 13 \%
\end{array}$$ Which of the following displays is/are appropriate to describe the data for these five activities? (More than one display may be appropriate.) 
I  
II  
III

Accepted Answer

A) I 
B) I,II 
C) I,II,III 
D) II 
E) None of these displays are appropriate.

Question 15

Statistics Canada gives the following mortality data for Canada in 2011. $$\begin{array} { l | c } 
{ \text { Cause of Death } } & \text { Percent } \
\hline \text { Cancer } & 29.9 \
\text { Heart disease } & 19.7 \
\text { Stroke } & 5.5 \
\text { Respiratory diseases } & 4.6 \
\text { Accidents } & 4.4
\end{array}$$ What percent of deaths were from causes not listed here?

Accepted Answer

A) 58.5% 
B) 35.9% 
C) 36% 
D) 64.1% 
E) The percent cannot be determined from the given percentages because the categories overlap.

Question 16

Just how accurate are the weather forecasts we hear every day? The table below compares the daily forecast with a city's actual weather for a year. $\begin{array}{|l|cc|}
&\text { Actual Weather }\
\hline \text {forecast }& \text { Rain } & \text { No rain } \
\hline \text { Rain } & 34 & 54 \
\text { No rain } & 8 & 269 \
\hline
\end{array}$ On what percent of days was rain predicted?

Accepted Answer

A) 14.8% 
B) 24.1% 
C) 38.6% 
D) 9.3% 
E) 11.5%

Question 17

Of the 1606 applicants to a college program,456 were Black or Hispanic,300 were Asian,and 850 were White.Summarize the relative frequency distribution of ethnicity with a sentence or two in the proper context.

Accepted Answer

A) Of the 1606 students who applied for admission to the college program,3% were Black or Hispanic,2% were Asian,and 5% were White. 
B) Of the 1606 students who applied for admission to the college program,54% were Black or Hispanic,35% were Asian,and 53% were White. 
C) Of the 1606 students who applied for admission to the college program,14% were Black,14% were Hispanic,19% were Asian,and 53% were White. 
D) Of the 1606 students accepted in the college program,28% were Black or Hispanic,19% were Asian,and 53% were White. 
E) Of the 1606 students who applied for admission to the college program,28% were Black or Hispanic,19% were Asian,and 53% were White.

Question 18

Statistics Canada gives the following mortality data for Canada in 2007. $$\begin{array} { l | c } 
{ \text { Cause of Death } } & \text { Percent } \
\hline \text { Cancer } & 29.6 \
\text { Heart disease } & 21.5 \
\text { Stroke } & 5.9 \
\text { Respiratory diseases } & 4.5 \
\text { Accidents } & 4.2
\end{array}$$ Create a bar chart to display the mortality percentages for all causes in Canada in 2007.

Accepted Answer

The answer of Statistics Canada gives the following mortality data...

Question 19

A survey of automobiles parked in student and staff lots at a large university classified the brands by country of origin.The results are listed in the table below,and a graphical display of the conditional distributions of origin by driver is given. $\begin{array}{|l|cc|}
&\text { Driver }\
\hline \text {origin }& \text { Student } & \text { Staff } \
\hline \text { North American } & 101 & 79 \
\text { European } & 33 & 51 \
\text { Asian } & 68 & 29 \
\hline
\end{array}$  Do you think that origin of the car is independent of the type of driver? Explain.

Accepted Answer

A) Yes.The conditional distributions of origin by driver have similarities and differences.The two groups own nearly the same percentage of American cars.Therefore,because of this one similarity,driver and origin must be independent. 
B) No.The conditional distributions of origin by driver have similarities and differences.Although students appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the staff,the two groups own nearly the same percentage of American cars.However,because of the differences,there is evidence of an association between driver and origin. 
C) No.The conditional distributions of origin by driver have similarities and differences.Students own a higher percentage of Asian and European cars than the staff.Therefore,because of this difference,there must be an association between driver and origin. 
D) No.The conditional distributions of origin by driver have similarities and differences.Although staff appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the students,the two groups own nearly the same percentage of American cars.However,because of the differences,there is evidence of an association between driver and origin. 
E) Yes.The conditional distributions of origin by driver have similarities and differences.Although students appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the staff,the two groups own nearly the same percentage of American cars.However,because there are more students than staff,an association between driver and origin cannot be claimed.

Question 20

The Centers for Disease Control in the U.S.A.lists causes of death for individual states in 2002.The mortality data for the five leading causes of death for one state is given. $$\begin{array} { l | c } 
{ \text { Cause of Death } } & \text { Percent } \
\hline \text { Heart Disease } & 28.5 \% \
\text { Cancer } & 23.2 \% \
\text { Circulatory diseases and stroke } & 7.5 \% \
\text { Respiratory diseases } & 5.5 \% \
\text { Accidents } & 4.8 \%
\end{array}$$ Which of the following displays is/are appropriate to describe the data for all causes of death? (More than one display may be appropriate.) 
I  
II 
 
III

Accepted Answer

A) I,II 
B) I 
C) I,III 
D) I,II,III 
E) None of these displays are appropriate.

Exam 2: Displaying and Describing Categorical Data

Of the 1470 applicants to a college program,760 were accepted,269 were wait-listed,and 441 were turned away for lack of space.Find the relative frequency distribution of the decisions made,and write a sentence describing it.

Of the 1606 applicants to a college program,456 were Black or Hispanic,300 were Asian,and 850 were White.Summarize the relative frequency distribution of ethnicity with a sentence or two in the proper context.