Question 1

Which set has the largest standard deviation?

Accepted Answer

A) Neither,because set 1 and set 2 have the same standard deviation. 
B) Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2. 
C) Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2. 
D) Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1. 
E) Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1. 
A) Neither,because set 1 and set 2 have the same standard deviation. 
B) Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2. 
C) Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2. 
D) Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1. 
E) Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.

Question 2

Three statistics classes (50 students each)took the same test.Shown below are histograms of the scores for the classes.Use the histograms to answer the question.  
-Which class had the highest median score?

Accepted Answer

A) Class 1 and class 3 
B) Class 2 
C) Class 1 
D) Class 3 
E) None,because the classes had the same median. 
A) Class 1 and class 3 
B) Class 2 
C) Class 1 
D) Class 3 
E) None,because the classes had the same median.

Question 3

Three statistics classes (50 students each)took the same test.Shown below are histograms of the scores for the classes.Use the histograms to answer the question.  
-Which class had the largest standard deviation?

Accepted Answer

A) Class 3,because the shape has the highest number of students. 
B) Class 1 or 2,but you can't tell for sure which one. 
C) Class 3,because the shape is symmetric. 
D) Class 1,because the shape is not perfectly symmetric. 
E) None,because the classes had the same standard deviation. 
A) Class 3,because the shape has the highest number of students. 
B) Class 1 or 2,but you can't tell for sure which one. 
C) Class 3,because the shape is symmetric. 
D) Class 1,because the shape is not perfectly symmetric. 
E) None,because the classes had the same standard deviation.

Question 4

In May 2011,17 coffee shops in Toronto charged the following amounts,in dollars,for a large cup of coffee (including tax).The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9.  
Key:
1.9 | 6 = $1.96

Accepted Answer

A) The distribution of large coffee prices is skewed to the right,centred around $2.00 ,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.18.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
B) The distribution of large coffee prices is skewed to the right,centred around $2.00,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.03. 
C) The distribution of large coffee prices is skewed to the right,centred around $1.95,with most coffee shops charging between $1.93 and $1.98.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
D) The distribution of large coffee prices is skewed to the left,centred around $1.95,with most coffee shops charging between $1.93 and $1.98.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
E) The distribution of large coffee prices is skewed to the left,centred around $2.00,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
A) The distribution of large coffee prices is skewed to the right,centred around $2.00 ,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.18.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
B) The distribution of large coffee prices is skewed to the right,centred around $2.00,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.03. 
C) The distribution of large coffee prices is skewed to the right,centred around $1.95,with most coffee shops charging between $1.93 and $1.98.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
D) The distribution of large coffee prices is skewed to the left,centred around $1.95,with most coffee shops charging between $1.93 and $1.98.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16. 
E) The distribution of large coffee prices is skewed to the left,centred around $2.00,with most coffee shops charging between $1.95 and $2.03.The lowest and highest prices were $1.93 and $2.03.There is a gap in the distribution,no coffee shops charged between $2.08 and $2.16.

Question 5

The display shows the heights of Grade 12 students at a local high school,collected so that the students could be arranged with shorter ones in front and taller ones in back for a class photograph.In addition to describing the distribution,give a reason to account for the shape of this distribution.

Accepted Answer

A) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.The students' heights are between 60 inches and 74 inches.The two modes would likely represent the average heights of the male and female students. 
B) The distribution of the heights of Grade 12 students is unimodal centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students. 
C) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 62 inches and the other mode around 74 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
D) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
E) The distribution of the heights of Grade 12 students is uniform centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students. 
A) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.The students' heights are between 60 inches and 74 inches.The two modes would likely represent the average heights of the male and female students. 
B) The distribution of the heights of Grade 12 students is unimodal centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students. 
C) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 62 inches and the other mode around 74 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
D) The distribution of the heights of Grade 12 students is bimodal,with a mode at around 65 inches and the other mode around 71 inches.No student has a height below 60 inches or above 76 inches.The two modes would likely represent the average heights of the male and female students. 
E) The distribution of the heights of Grade 12 students is uniform centred at 68,with a heights ranging from 60 inches to 76 inches.The two peaks would likely represent the average heights of the male and female students.

Question 6

The weekly salaries,in dollars,of 16 government workers are listed below.Find the upper quartile (Q3)by hand.

Accepted Answer

A) $734.00 
B) $776.75 
C) $791.00 
D) $654.00 
E) $762.50 
A) $734.00 
B) $776.75 
C) $791.00 
D) $654.00 
E) $762.50

Question 7

The weights,in kilograms,of 18 randomly selected adults are given below.Find the range.

Accepted Answer

A) (51.7 kg,91.6 kg) 
B) (54.4 kg,91.6 kg) 
C) 91.6 kg 
D) 37.2 kg 
E) 39.9 kg 
A) (51.7 kg,91.6 kg) 
B) (54.4 kg,91.6 kg) 
C) 91.6 kg 
D) 37.2 kg 
E) 39.9 kg

Question 8

The data below represent the midterm grades for 24 students enrolled in an electrical engineering course.Create a stem-and-leaf display of the data.Use split stems.Let the lower leaf represent digits 0-4 and the upper leaf represent 5-9.

Accepted Answer

@#IMG-DLM&_TB3448_00

Question 9

A small company employs a supervisor at $1,300 a week,an inventory manager at $600 a week,5 stock boys at $300 a week each,and 3 drivers at $500 a week each.

Accepted Answer

A) $300 
B) $500 
C) $400 
D) $600 
E) $490 
A) $300 
B) $500 
C) $400 
D) $600 
E) $490

Question 10

The ages of the 21 members of a track and field team are listed below.Find the standard deviation.

Accepted Answer

A) 6.5 
B) 6.6 
C) 6.7 
D) 6.4 
E) 6.3 
A) 6.5 
B) 6.6 
C) 6.7 
D) 6.4 
E) 6.3

Question 11

The annual incomes,in dollars,of several doctors are listed below.

Accepted Answer

A) $238,000 
B) $188,000 
C) $169,500 
D) $264,000 
E) $151,000 
A) $238,000 
B) $188,000 
C) $169,500 
D) $264,000 
E) $151,000

Question 12

Members of the Ontario Field Ornithologists (OFO)observe birds at various locations within the province to see how many different species of bird they can spot.Suppose that 21 members have reported spotting the following number of species in 2010.The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9.  
Key:
11 | 7 = 117 birds

Accepted Answer

A) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 125 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
B) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 111 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
C) The distribution of the number of birds spotted by OFO members in 2010 is skewed left,with a centre at around 111 birds.Most members saw between 102 and 178 birds. 
D) The distribution of the number of birds spotted by OFO members in 2010 is skewed left,with a centre at around 111 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
E) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 111 birds.Most members saw between 102 and 178 birds. 
A) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 125 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
B) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 111 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
C) The distribution of the number of birds spotted by OFO members in 2010 is skewed left,with a centre at around 111 birds.Most members saw between 102 and 178 birds. 
D) The distribution of the number of birds spotted by OFO members in 2010 is skewed left,with a centre at around 111 birds.There are several high outliers,with two members spotting 158 birds and another spotting 178.With the exception of these outliers,most members saw between 102 and 139 birds. 
E) The distribution of the number of birds spotted by OFO members in 2010 is skewed right,with a centre at around 111 birds.Most members saw between 102 and 178 birds.

Question 13

The students in a math class took the Scholastic Aptitude Test.Their math scores are shown below.

Accepted Answer

A) 461.7 
B) 476.0 
C) 552.1 
D) 452.6 
E) 471.1 
A) 461.7 
B) 476.0 
C) 552.1 
D) 452.6 
E) 471.1

Exam 3: Displaying and Summarizing Quantitative Data

Which set has the largest standard deviation?

Three statistics classes (50 students each)took the same test.Shown below are histograms of the scores for the classes.Use the histograms to answer the question. -Which class had the highest median score?

Three statistics classes (50 students each)took the same test.Shown below are histograms of the scores for the classes.Use the histograms to answer the question. -Which class had the largest standard deviation?

In May 2011,17 coffee shops in Toronto charged the following amounts,in dollars,for a large cup of coffee (including tax).The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9. Key: 1.9 | 6 = $1.96

The weekly salaries,in dollars,of 16 government workers are listed below.Find the upper quartile (Q3)by hand.

The weights,in kilograms,of 18 randomly selected adults are given below.Find the range.

The data below represent the midterm grades for 24 students enrolled in an electrical engineering course.Create a stem-and-leaf display of the data.Use split stems.Let the lower leaf represent digits 0-4 and the upper leaf represent 5-9.

A small company employs a supervisor at $1,300 a week,an inventory manager at $600 a week,5 stock boys at $300 a week each,and 3 drivers at $500 a week each.

The ages of the 21 members of a track and field team are listed below.Find the standard deviation.

The annual incomes,in dollars,of several doctors are listed below.

The students in a math class took the Scholastic Aptitude Test.Their math scores are shown below.

Data

Displaying and Describing Categorical Data

Understanding and Comparing Distributions

The Standard Deviation As a Ruler and the Normal Model

Scatterplots, association, and Correlation

Linear Regression

Regression Wisdom

Re-Expressing Data: Get It Straight

Understanding Randomness

Sample Surveys

Experiments and Observational Surveys

From Randomness to Probability

Probability Rules

Random Variables

Probability Models

Sampling Distribution Models

Confidence Intervals for Proportions

Testing Hypotheses About Proportions

More About Tests

Comparing Two Proportions

Inferences About Means

Comparing Means

Paired Samples and Blocks

Comparing Counts

Inferences for Regression

Analysis of Variance

Multifactor Analysis of Variance

Multiple Regression

Multiple Regression Wisdom

Rank-Based Nonparametric Tests

The Bootstrap

Filters