The following table gives the top five movies at the box office this week. \[\begin{array} { l | l | l | l | l } \text { Rank } & \text { Last week } & \text { Movie title } & \text { Studio } & \text { Box office sales (\$ millions) } \\ \hline 1 & \text { N/A } & \text { Pirate Adventure } & \text { Movie Giant } & 35.2 \\ 2 & 2 & \text { Secret Agent Files } & \text { G.M.G. } & 19.5 \\ 3 & 1 & \text { Epic Super Hero Team } & \text { 21st Century } & 14.3 \\ 4 & 5 & \text { Reptile Ride } & \text { Movie Giant } & 10.1 \\ 5 & 4 & \text { Must Love Cats } & \text { Dreamboat } & 9.9 \end{array}\] What kind of data is provided by the information in the fourth column?

A) Qualitative B) Quantitative A) Qualitative B) Quantitative

The results of a survey about a recent judicial appointment are given in the table below. Construct a relative frequency distribution. \[\begin{array} { l | c } \text { Response } & \text { Frequency } \\ \hline \text { Strongly Favor } & 24 \\ \text { Favor } & 39 \\ \text { Neutral } & 9 \\ \text { Oppose } & 14 \\ \text { Strongly Oppose } & 114 \end{array}\]

The answer of The results of a survey about a...

The following table shows the heights of the five tallest mountains in North America. \[\begin{array} { l c c } \text { Mountain } & \text { Height (ft) } & \text { Rank } \\ \hline \text { McKinley } & 20,320 & 1 \\ \text { Logan } & 19,850 & 2 \\ \text { Citlaltepec } & 18,700 & 3 \\ \text { St. Elias } & 18,008 & 4 \\ \text { Popocatepetl } & 17,930 & 5 \end{array}\] What kind of data is given in the second column of the table?

A) Discrete B) Continuous A) Discrete B) Continuous

Exam 2: Organizing Data

A graphical display of a data set is given. State whether the distribution is (roughly)symmetric, right skewed, or leftskewed. -A stem-and-leaf diagram is given below for the ages of the patients at a hospital. 0 40 1 142 2 0203 3 015829 4 34517182 5 3626893306363 6 628183362690503675 7 25378953678489367855 8 4608532627890 9 14673

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Question 1

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Anna set up a frequency distribution with the following classes: Number of sick days taken Frequency 0-3 3-6 6-9 9-12 What is wrong with these classes? Describe two ways the classes could have been correctly depicted.

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Answers will vary. Possible answer: In a frequency distribution, each observation must belong to one and only one class. In Anna's table, there is overlap of the classes - it is not clear, for example, to which class the value 3 belongs. The classes could have been depicted in either of the following ways: $\begin{array}{l} \begin{array} { c l } \text { Number of sick days taken } \quad \text { Frequency } \\ \hline 0 \text {-under } 3 \\ \text { 3-under } 6 \\ \text { 6-under } 9 \\ 9 \text {-under } 12 \end{array}\\\\ \begin{array} { c l } \text { Number of sick days taken } & \text { Frequency } \\ \hline 0 - 2 \\ 3 - 5 \\ 6 - 8 \\ 9 - 11 \end{array} \end{array}$

A television manufacturer sold three times as many televisions in 1995 as it did in 1985. To illustrate this fact, the manufacturer draws a pictogram as shown below. The television on the right is three times as tall and three times as wide as the television on the left. This pictogram is misleading because it actually gives the visual impression that nine times as many televisions were sold in 2005 as in 1995. How can the manufacturer correctly illustrate the fact that sales in 2005 were three times sales in 1995?

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Answers will vary. Possible answer: The television on the right should have three times the area of the television on the left. This does not mean that its dimensions will be three times as big. (In fact, its dimensions will be $\sqrt { 3 }$ times the dimensions of the television on the left).

Construct a bar graph for the relative frequencies given. Blood type Frequency Relative frequency 22 0.44 19 0.38 6 0.12 3 0.06 $Construct a bar graph for the relative frequencies given. \begin{array} { l c c | } \begin{array} { c } \text { Blood } \\ \text { type } \end{array} & \text { Frequency } & \begin{array} { c } \text { Relative } \\ \text { frequency } \end{array} \\ \hline \mathrm { O } & 22 & 0.44 \\ \mathrm {~A} & 19 & 0.38 \\ \mathrm {~B} & 6 & 0.12 \\ \mathrm { AB } & 3 & 0.06 \\ \end{array}$

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Question 4

Use single-value grouping to organize these data into a frequency distribution. -A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults between the ages of 30 and 70 and asked each Person how many accidents they had been involved in the past ten years. The following data were Obtained. 0 1 0 3 2 1 0 2 1 1 1 0 2 0 4 1 2 0 0 1 0 2 1 3 1 3 0 0 1 0 5 4

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Question 5

The number of cars passing a busy intersection between 4:30 P.M. and 6:30 P.M. on a Monday is 2,200.

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Question 6

Provide an appropriate response. -Suppose that a group of professional athletes consists of 100 gymnasts and 100 basketball players. What kind of distribution do you think the heights of the athletes would have? Explain your thinking.

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Question 7

The following table gives the top five movies at the box office this week. Rank Last week Movie title Studio Box office sales (\ millions) 1 N/A Pirate Adventure Movie Giant 35.2 2 2 Secret Agent Files G.M.G. 19.5 3 1 Epic Super Hero Team 21st Century 14.3 4 5 Reptile Ride Movie Giant 10.1 5 4 Must Love Cats Dreamboat 9.9 What kind of data is provided by the information in the fourth column?

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Question 8

Complete the contingency table and use it to solve the problem. -The partially filled contingency table gives the relative frequencies of the data on age (in years)and sex from the residents of a retirement home. What percentage of residents are females in the age group 70-79?

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Question 9

A television manufacturer sold three times as many televisions in 2005 as it did in 1995. To illustrate this fact, the manufacturer draws a pictogram as shown below. The television on the right is three times as tall and three times as wide as the television on the left. Why is this pictogram misleading? What visual impression is portrayed by the pictogram?

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Question 10

What type of data is provided by the statement "Helen finished in 8th place in the ice dancing competition"?

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Question 11

Construct the requested histogram. -During the quality control process at a manufacturing plant, 142 finished items are randomly selected and weighed. The results are summarized in the table below. Construct a relative-frequency histogram corresponding to data below. Weight () Frequency Relative frequency 0.35 -under 0.45 32 0.225 0.45 -under 0.55 82 0.577 0.55 -under 0.65 17 0.120 0.65 -under 0.75 11 0.077 $Construct the requested histogram. -During the quality control process at a manufacturing plant, 142 finished items are randomly selected and weighed. The results are summarized in the table below. Construct a relative-frequency histogram corresponding to data below. \begin{array} { r | c | c } \text { Weight } ( \mathrm { g } ) & \text { Frequency } & \text { Relative frequency } \\ \hline 0.35 \text {-under } 0.45 & 32 & 0.225 \\ 0.45 \text {-under 0.55 } & 82 & 0.577 \\ 0.55 \text {-under 0.65 } & 17 & 0.120 \\ 0.65 \text {-under 0.75 } & 11 & 0.077 \end{array}$

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Question 12

Construct a pie chart representing the given data set. -The following data give the distribution of the types of houses in a town containing 26,000 houses. House Type Frequency Relative Frequency Cape 6500 0.25 Garrison 10,400 0.35 Split 9100 0.40 $Construct a pie chart representing the given data set. -The following data give the distribution of the types of houses in a town containing 26,000 houses. \begin{array}{r|c|c} \text { House Type } & \text { Frequency } & \text { Relative Frequency } \\ \hline \text { Cape } & 6500 & 0.25 \\ \text { Garrison } & 10,400 & 0.35 \\ \text { Split } & 9100 & 0.40 \end{array}$

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Question 13

A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly)bell-shaped,triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. -A stem-and-leaf diagram is given below for the ages of the patients at a hospital. 0 40 1 42 2 0203 3 015829 4 34517182 5 3626893306363 6 628183362690503675 7 25378953678489367855 8 4608532627890 9 14673

(Multiple Choice)

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Question 14

The results of a survey about a recent judicial appointment are given in the table below. Construct a relative frequency distribution. Response Frequency Strongly Favor 24 Favor 39 Neutral 9 Oppose 14 Strongly Oppose 114

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Question 15

The following table shows the heights of the five tallest mountains in North America. Mountain Height (ft) Rank McKinley 20,320 1 Logan 19,850 2 Citlaltepec 18,700 3 St. Elias 18,008 4 Popocatepetl 17,930 5 What kind of data is given in the second column of the table?

(Multiple Choice)

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Question 16

Construct a relative-frequency polygon for the given data. -The table contains the frequency and relative-frequency distributions for the ages of the employees in a particular company department. Age (years) Frequency Relative frequency 20 -under 30 6 0.375 30 -under 40 3 0.1875 40 -under 50 4 0.25 50 -under 60 2 0.125 60 -under 70 1 0.0625 $Construct a relative-frequency polygon for the given data. -The table contains the frequency and relative-frequency distributions for the ages of the employees in a particular company department. \begin{array}{c|c|c} \text { Age (years) } & \text { Frequency } & \text { Relative frequency } \\ \hline 20 \text {-under } 30 & 6 & 0.375 \\ 30 \text {-under } 40 & 3 & 0.1875 \\ 40 \text {-under } 50 & 4 & 0.25 \\ 50 \text {-under 60 } & 2 & 0.125 \\ 60 \text {-under 70 } & 1 & 0.0625 \end{array}$

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Question 17

Provide an appropriate response. -A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year. To illustrate this fact, the manager draws a pictogram as shown below. Each cube depicts a parcel. The side length of the "parcel" on the right is twice the side length of the "parcel" on the left. Why is this pictogram misleading? What visual impression is portrayed by the pictogram?

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Question 18

Complete the contingency table and use it to solve the problem. -The partially filled contingency table gives the frequencies of the data on age (in years)and sex from the residents of a retirement home. What is the relative frequency for males ?

(Multiple Choice)

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Question 19

Construct a pie chart representing the given data set. -The data below represent the results of a poll in which the the following question was asked: "To what degree are you satisfied with the outcome of the 2006 mayoral election? Very $17\%$ Somewhat $22 \%$ Not at All $39 \%$ No opinion $22 \%$ $Construct a pie chart representing the given data set. -The data below represent the results of a poll in which the the following question was asked: To what degree are you satisfied with the outcome of the 2006 mayoral election? Very 17\% Somewhat 22 \% Not at All 39 \% No opinion 22 \%$

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Question 20

Showing 1 - 20 of 169

Anna set up a frequency distribution with the following classes: Number of sick days taken Frequency 0-3 3-6 6-9 9-12 What is wrong with these classes? Describe two ways the classes could have been correctly depicted.

The number of cars passing a busy intersection between 4:30 P.M. and 6:30 P.M. on a Monday is 2,200.

Provide an appropriate response. -Suppose that a group of professional athletes consists of 100 gymnasts and 100 basketball players. What kind of distribution do you think the heights of the athletes would have? Explain your thinking.

Complete the contingency table and use it to solve the problem. -The partially filled contingency table gives the relative frequencies of the data on age (in years)and sex from the residents of a retirement home. What percentage of residents are females in the age group 70-79?

What type of data is provided by the statement "Helen finished in 8th place in the ice dancing competition"?

The results of a survey about a recent judicial appointment are given in the table below. Construct a relative frequency distribution. Response Frequency Strongly Favor 24 Favor 39 Neutral 9 Oppose 14 Strongly Oppose 114

The following table shows the heights of the five tallest mountains in North America. Mountain Height (ft) Rank McKinley 20,320 1 Logan 19,850 2 Citlaltepec 18,700 3 St. Elias 18,008 4 Popocatepetl 17,930 5 What kind of data is given in the second column of the table?

Complete the contingency table and use it to solve the problem. -The partially filled contingency table gives the frequencies of the data on age (in years)and sex from the residents of a retirement home. What is the relative frequency for males ?

The Nature of Statistics

Descriptive Measures

Probability Concepts

Discrete Random Variables

The Normal Distribution

The Sampling Distribution of the Sample Mean

Confidence Intervals for One Population Mean

Hypothesis Tests for One Population Mean

Inferences for Two Population Means

Inferences for Population Standard Deviations

Inferences for Population Proportions

Chi-Square Procedures

Descriptive Methods in Regression and Correlation

Inferential Methods in Regression and Correlation

Analysis of Variance Anova

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