Course Modules: Data Analysis and Probability for Teachers

D1: Statistics, Data, and Variables

D1: Statistics, Data, and Variables D1: Statistics, Data, and Variables

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D1 Introduction D1 Introduction 0

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D1 What is Statistics? D1 What is Statistics? 1

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D1 Example: Educational Attainment D1 Example: Educational Attainment 2

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D1 Organizing and Summarizing Data D1 Organizing and Summarizing Data 3

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D1 Reading Articles in the Media D1 Reading Articles in the Media 4

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D1 Graphs in the Media D1 Graphs in the Media 5

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D1: Classroom Capsule D1: Classroom Capsule 6

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D1 ACTIVITY: Getting to Know You D1 ACTIVITY: Getting to Know You 7

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D1 ACTIVITY: Meet the States Data D1 ACTIVITY: Meet the States Data 8

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D1 Exercises D1 Exercises 9

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D2: Graphing Data

D2: Graphing Data D2: Graphing Data

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D2 Introduction D2 Introduction 0

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D2 Graphing Categorical Data D2 Graphing Categorical Data 1

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D2 Graphing Quantitative Data D2 Graphing Quantitative Data 2

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D2 Stemplot D2 Stemplot 3

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D2 Histogram D2 Histogram 4

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D2 Experiment with Different Graphs D2 Experiment with Different Graphs 5

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D2 Classes of Data and Shape D2 Classes of Data and Shape 6

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D2 Classroom Capsule D2 Classroom Capsule 7

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D2 StatCrunch ACTIVITY: Choosing the Bins of a Histogram D2 StatCrunch ACTIVITY: Choosing the Bins of a Histogram 8

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D2 ACTIVITY: The Shape of the Data D2 ACTIVITY: The Shape of the Data 9

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D2 ACTIVITY: Matching Variables and Shapes D2 ACTIVITY: Matching Variables and Shapes 10

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D2 Exercises D2 Exercises 11

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D3: Summaries of Data

D3: Summaries of Data D3: Summaries of Data

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D3: Introduction D3: Introduction 1

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D3: Summarizing Categorical Data D3: Summarizing Categorical Data 2

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D3: The Median D3: The Median 3

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D3: Deviations and the Mean D3: Deviations and the Mean 4

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D3: Measures of Spread: Quartiles and IQR D3: Measures of Spread: Quartiles and IQR 5

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D3: Measures of Spread Using Deviations D3: Measures of Spread Using Deviations 6

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D3: ACTIVITY: Collecting Some Data on Cities D3: ACTIVITY: Collecting Some Data on Cities 7

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D3: ACTIVITY: V is for Variation D3: ACTIVITY: V is for Variation 8

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D3: ACTIVITY: Measurement Bias D3: ACTIVITY: Measurement Bias 9

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D3: ACTIVITY: Matching Statistics with Histograms D3: ACTIVITY: Matching Statistics with Histograms 10

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D3: Classroom Capsule D3: Classroom Capsule 11

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D3: Exercises D3: Exercises 12

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D4: Comparing Batches

D4: Comparing Batches D4: Comparing Batches

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D4: Introduction D4: Introduction 1

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D4: Comparing Batches of Categorical Data D4: Comparing Batches of Categorical Data 2

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D4: Comparing Batches of Quantitative Data D4: Comparing Batches of Quantitative Data 3

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D4: Relative Standing D4: Relative Standing 4

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D4: Flagging Possible Outliers D4: Flagging Possible Outliers 5

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D4: ACTIVITY: Comparing Men and Women in the Class Dataset D4: ACTIVITY: Comparing Men and Women in the Class Dataset 6

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D4: ACTIVITY: Matching Statistics with Boxplots D4: ACTIVITY: Matching Statistics with Boxplots 7

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D4: ACTIVITY: Counting Pasta D4: ACTIVITY: Counting Pasta 8

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D4: Exercises D4: Exercises 9

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D5: Relationships Between Categorical Variables

D5: Relationships Between Categorical Variables D5: Relationships Between Categorical Variables

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D5: Introduction D5: Introduction 0

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D5: Two-Way Table of Counts and Graphs D5: Two-Way Table of Counts and Graphs 1

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D5: Simpson's Paradox D5: Simpson's Paradox 2

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D5: ACTIVITY: Predictable Pairs D5: ACTIVITY: Predictable Pairs 3

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D5: Exercises D5: Exercises 4

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D6: Relationships Between Quantitative Variables

D6: Relationships Between Quantitative Variables D6: Relationships Between Quantitative Variables

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D6: Introduction D6: Introduction 1

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D6: Scatterplots D6: Scatterplots 2

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D6: Measuring Association D6: Measuring Association 3

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D6: Correlation Coefficient D6: Correlation Coefficient 4

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D6: StatCrunch ACTIVITY: Guessing Correlations D6: StatCrunch ACTIVITY: Guessing Correlations 5

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D6: Exercises D6: Exercises 6

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D7: Relationships: Summarizing by a Line

D7: Relationships: Summarizing by a Line D7: Relationships: Summarizing by a Line

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D7: Introduction D7: Introduction 0

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D7: Fitting a Line by Least Squares D7: Fitting a Line by Least Squares 1

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D7: Appropriate and Inappropriate Predictions D7: Appropriate and Inappropriate Predictions 2

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D7: Median-Median Line D7: Median-Median Line 3

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D7: Plotting Residuals D7: Plotting Residuals 4

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D7: Different Ways of Looking at Relationships D7: Different Ways of Looking at Relationships 5

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P7: ACTIVITY: Fitting a Line to Galton's Data P7: ACTIVITY: Fitting a Line to Galton's Data 6

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D7: StatCrunch ACTIVITY: Fitting a "Best" Line D7: StatCrunch ACTIVITY: Fitting a "Best" Line 7

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D7: StatCrunch ACTIVITY: Exploring Some Olympics Data D7: StatCrunch ACTIVITY: Exploring Some Olympics Data 8

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D7: StatCrunch ACTIVITY: Regression to the Mean D7: StatCrunch ACTIVITY: Regression to the Mean 9

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D7: Exercises D7: Exercises 10

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P1: Probability - A Measure of Uncertainty

P1: Probability - A Measure of Uncertainty P1: Probability - A Measure of Uncertainty

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P1: Introduction P1: Introduction 0

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P1: Classical View of a Probability P1: Classical View of a Probability 1

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P1: Frequency View of a Probability P1: Frequency View of a Probability 2

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P1: Subjective View of a Probability P1: Subjective View of a Probability 3

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P1: A Calibration Experiment P1: A Calibration Experiment 4

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P1: ACTIVITY: Some Questions on Probability P1: ACTIVITY: Some Questions on Probability 5

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P1: ACTIVITY: Tossing and Spinning a Poker Chip P1: ACTIVITY: Tossing and Spinning a Poker Chip 6

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P1: PRACTICE: Which Viewpoint of Probability? P1: PRACTICE: Which Viewpoint of Probability? 7

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P1: Exercises P1: Exercises 8

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P2: Sample Space and Assigning Probabilities

P2: Sample Space and Assigning Probabilities P2: Sample Space and Assigning Probabilities

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P2: Introduction P2: Introduction 0

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P2: Sample Spaces P2: Sample Spaces 1

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P2: Assigning Probabilities P2: Assigning Probabilities 2

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P2: A More Formal Look at Probability P2: A More Formal Look at Probability 3

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P2: ACTIVITY: Writing Down Some Sample Spaces P2: ACTIVITY: Writing Down Some Sample Spaces 4

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P2: Exercises P2: Exercises 5

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P3: Let Me Count the Ways

P3: Let Me Count the Ways P3: Let Me Count the Ways

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P3: Introduction P3: Introduction 1

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P3: Equally Likely Outcomes P3: Equally Likely Outcomes 2

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P3: Multiplication Rule P3: Multiplication Rule 3

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P3: Permutations P3: Permutations 4

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P3: Combinations P3: Combinations 5

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P3: Arrangements of Non-Distinct Objects P3: Arrangements of Non-Distinct Objects 6

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P3: Which Counting Rule? P3: Which Counting Rule? 7

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P3: Playing Yahtzee P3: Playing Yahtzee 8

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P3: ACTIVITY: Mothers and Babies P3: ACTIVITY: Mothers and Babies 9

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P3: ACTIVITY: Sampling From a Bag P3: ACTIVITY: Sampling From a Bag 10

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P3: Exercises P3: Exercises 11

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P4: Computing Probabilities by Simulation

P4: Computing Probabilities by Simulation P4: Computing Probabilities by Simulation

Page

P4: Introduction P4: Introduction 1

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P4: Simulating a Lottery Game P4: Simulating a Lottery Game 2

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P4: Basic Components of a Simulation Experiment P4: Basic Components of a Simulation Experiment 3

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P4: The Collector's Problem P4: The Collector's Problem 4

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P4: Practice: Setting Up a Simulation Experiment P4: Practice: Setting Up a Simulation Experiment 5

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P4: StatCrunch ACTIVITY: Mixed-Up Letters P4: StatCrunch ACTIVITY: Mixed-Up Letters 6

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P4: ACTIVITY: The Longest Run P4: ACTIVITY: The Longest Run 7

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P4: StatCrunch ACTIVITY: Sampling People from a Room P4: StatCrunch ACTIVITY: Sampling People from a Room 8

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P4: StatCrunch ACTIVITY: The Birthday Problem P4: StatCrunch ACTIVITY: The Birthday Problem 9

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P4: Exercises P4: Exercises 10

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P5: Conditional Probability

P5: Conditional Probability P5: Conditional Probability

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P5: Introduction P5: Introduction 0

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P5: New Information, Reduced Sample Space, and Conditional Probability P5: New Information, Reduced Sample Space, and Conditional Probability 1

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P5: Conditional Probability in Everyday Life P5: Conditional Probability in Everyday Life 2

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P5: Conditional Probability in a Two-Way Table P5: Conditional Probability in a Two-Way Table 3

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P5: Definition of Conditional Probability and Multiplying Probabilities P5: Definition of Conditional Probability and Multiplying Probabilities 4

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P5: Multiplication Rule Under Independence P5: Multiplication Rule Under Independence 5

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P5: Playing Craps P5: Playing Craps 6

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P5: Learning Using Bayes' Rule P5: Learning Using Bayes' Rule 7

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P5: Bayes' Rule using StatCrunch P5: Bayes' Rule using StatCrunch 8

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P5: StatCrunch ACTIVITY: Rolling Two Dice P5: StatCrunch ACTIVITY: Rolling Two Dice 9

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P5: StatCrunch ACTIVITY: How Many Defectives? P5: StatCrunch ACTIVITY: How Many Defectives? 10

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P5: Exercises P5: Exercises 11

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P6: Probability Distributions

P6: Probability Distributions P6: Probability Distributions

Page

P6: Introduction P6: Introduction 1

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P6: A Random Variable P6: A Random Variable 2

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P6: Summarizing a Probability Distribution P6: Summarizing a Probability Distribution 3

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P6: Standard Deviation of a Probability Distribution P6: Standard Deviation of a Probability Distribution 4

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P6: Interpreting the Standard Deviation for a Bell-Shaped Distribution P6: Interpreting the Standard Deviation for a Bell-Shaped Distribution 5

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P6: StatCrunch ACTIVITY: Constructing a Raffle Winning Distribution by Simulation P6: StatCrunch ACTIVITY: Constructing a Raffle Winning Distribution by Simulation 6

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P6: StatCrunch ACTIVITY: Playing Roulette P6: StatCrunch ACTIVITY: Playing Roulette 7

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P6: ACTIVITY: How Many Keys? P6: ACTIVITY: How Many Keys? 8

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P6: ACTIVITY: Investing Money P6: ACTIVITY: Investing Money 9

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P6: Exercises P6: Exercises 10

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P7: Coin-Tossing Distributions

P7: Coin-Tossing Distributions P7: Coin-Tossing Distributions

Page

P7: Introduction P7: Introduction 0

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P7: Binomial Experiments P7: Binomial Experiments 1

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P7: ACTIVITY: Coin Flipping: Is it Real or Fake? P7: ACTIVITY: Coin Flipping: Is it Real or Fake? 2

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P7: StatCrunch ACTIVITY: Simulated Coin Flipping P7: StatCrunch ACTIVITY: Simulated Coin Flipping 3

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P7: ACTIVITY: Is a Professional Athlete Streaky? P7: ACTIVITY: Is a Professional Athlete Streaky? 4

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P7: Binomial Computations P7: Binomial Computations 5

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P7: Mean and Standard Deviation of a Binomial P7: Mean and Standard Deviation of a Binomial 6

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P7: Negative Binomial Experiments P7: Negative Binomial Experiments 7

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P7: ACTIVITY: Graphing Binomial and Negative Experiments P7: ACTIVITY: Graphing Binomial and Negative Experiments 8

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P7: Computing Negative Binomial Probs on StatCrunch P7: Computing Negative Binomial Probs on StatCrunch 9

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P7: Exercises P7: Exercises 10

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P8: Continuous Distributions

P8: Continuous Distributions P8: Continuous Distributions

Page

P8: Introduction P8: Introduction 0

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P8: Uniform Density P8: Uniform Density 1

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P8: Probability Density P8: Probability Density 2

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P8: Cumulative Distribution Function P8: Cumulative Distribution Function 3

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P8: Expectation and Variance P8: Expectation and Variance 4

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P8: Percentiles P8: Percentiles 5

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P8: StatCrunch ACTIVITY: Waiting for the Shuttle P8: StatCrunch ACTIVITY: Waiting for the Shuttle 6

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P8: Exercises P8: Exercises 7

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P9: Normal Distribution

P9: Normal Distribution P9: Normal Distribution

Page

P9: Introduction P9: Introduction 3

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P9: Modeling Data with a Normal Curve P9: Modeling Data with a Normal Curve 4

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P9: Computing Normal Probabilities P9: Computing Normal Probabilities 5

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P9: Computing Normal Percentiles P9: Computing Normal Percentiles 6

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P9: Binomial Probabilities and the Normal Curve P9: Binomial Probabilities and the Normal Curve 7

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P9: Sampling Distribution of the Mean P9: Sampling Distribution of the Mean 8

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P9: Central Limit Theorem Works for Any Population P9: Central Limit Theorem Works for Any Population 9

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P9: StatCrunch ACTIVITY: Sampling Heights P9: StatCrunch ACTIVITY: Sampling Heights 10

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P9: StatCrunch ACTIVITY: Rolling Biased DIce P9: StatCrunch ACTIVITY: Rolling Biased DIce 11

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P9: Exercises P9: Exercises 12

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Introduction to Inference

Introduction to Inference Introduction to Inference

Page

Memorizing Words - Collecting the Data Memorizing Words - Collecting the Data 0

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Does the Shuffle Work on my iPod? Does the Shuffle Work on my iPod? 1

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Cocaine Addiction: Comparing 2 Proportions Cocaine Addiction: Comparing 2 Proportions 2

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Which Route to School? (Comparing 2 Means) Which Route to School? (Comparing 2 Means) 3

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Memorizing Letters - Comparing 2 Means Memorizing Letters - Comparing 2 Means 4

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StatCrunch Movies

StatCrunch Movies StatCrunch Movies

Page

Graphs for Categorical Data Using StatCrunch Graphs for Categorical Data Using StatCrunch 0

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Graphs for Quantitative Data Using StatCrunch Graphs for Quantitative Data Using StatCrunch 1

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Comparing Batches (Categorical) Using StatCrunch Comparing Batches (Categorical) Using StatCrunch 3

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Comparing Batches (Quantitative) Using StatCrunch Comparing Batches (Quantitative) Using StatCrunch 4

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Relationship Functions on StatCrunch Relationship Functions on StatCrunch 5

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Simulating Roulette on StatCrunch Simulating Roulette on StatCrunch 6

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Normal Calculations on StatCrunch Normal Calculations on StatCrunch 8

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Data and Probability PDF FIles

Data and Probability PDF FIles Data and Probability PDF FIles

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D1.intro.data.analysis.pdf D1.intro.data.analysis.pdf 0

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D2.graphing.pdf D2.graphing.pdf 1

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D3.summaries.pdf D3.summaries.pdf 2

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D4.comparison.pdf D4.comparison.pdf 3

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D5.relationships.categorical.pdf D5.relationships.categorical.pdf 4

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D6.relationships.quantitative.pdf D6.relationships.quantitative.pdf 5

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D7.relationships.lines.pdf D7.relationships.lines.pdf 6

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P1.into.probability.pdf P1.into.probability.pdf 7

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P2.sample.space.pdf P2.sample.space.pdf 8

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P3.counting.pdf P3.counting.pdf 9

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P4.simulation.pdf P4.simulation.pdf 10

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P5.conditional.probability.pdf P5.conditional.probability.pdf 11

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P6.probability.distributions.pdf P6.probability.distributions.pdf 12

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P7.coin.tossing.pdf P7.coin.tossing.pdf 13

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P8.continuous.distributions.pdf P8.continuous.distributions.pdf 14

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P9.normal.distribution.pdf P9.normal.distribution.pdf 15

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