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Data Analysis, Statistics, and Probability home page
Overview | Who's Who | Credits | Video Index | Reading List | Support Materials
Session 1: Statistics As Problem Solving
Part A: A Problem-Solving Process
Part B: Data Measurement and Variation
Asking Questions and Collecting Data | How Long Is a Minute? Variables
Part C: Bias in Measurement
Measurement Error | Testing Your Measurement Bias
Part D: Bias in Sampling
Population and Sample | Random Sampling
Homework
Notes:
Part B Notes Part C Notes Part D Notes
Solutions:
Part B Solutions Part C Solutions Part D Solutions Homework Solutions
Video
Session 2: Data Organization and Representation
Part A: Patterns in Variation
Part B: Line Plots
Counting Raisins | Making a Line Plot | Interpreting a Line Plot Intervals
Part C: Frequency Tables
Making a Table | Cumulative Frequencies | Another Method Intervals and Ranges
Part D: The Median
From Ordered Lists and Line Plots | From Cumulative Frequency Tables
Part E: Bar Graphs and Relative Frequencies
Frequency Bar Graphs | Relative Frequency | Comparing Representations
Homework:
Part A Notes Part B Notes Part C Notes Part D Notes Part E Notes
Part B Solutions Part C Solutions Part D Solutions Part E Solutions Homework Solutions
Session 3: Describing Distributions
Part A: Organizing Data in a Stem and Leaf Plot
How Long Is a Minute? | Making a Stem and Leaf Plot | Ordering a Stem and Leaf Plot Interpreting the Stem and Leaf Plot | Grouping by Fives | Ordering Low and High
Part B: Histograms
Constructing a Histogram | Completing the Histogram | Interpreting a Histogram
Part C: Relative and Cumulative Frequencies
Relative Frequencies | Cumulative Frequencies Relative Cumulative Frequencies
Part D: Ordering Hats
Understanding the Question | Data Analysis Using a Stem and Leaf Plot Using a Histogram to Analyze the Hat-Size Data | Summary
Part A Notes Part B Notes Part C Notes Part D Notes
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Homework Solutions
Session 4: The Five-Number Summary
Part A: Min, Max, and the Two-Number Summary
The Data Set | The Two-Noodle Summary | The Two-Number Summary
Part B: The Median and the Three-Number Summary
The Median | The Three-Noodle Summary | The Three-Number Summary Even Data Sets | Review
Part C: Quartiles and the Five-Number Summary
Quartiles | More Five-Number Summaries Review
Part D: The Box Plot
Five-Number Summary with Measurement Data | Drawing a Box Plot
Part E: Finding the Five-Number Summary Numerically
Locating the Median from the Ordered Data | Calculating the Position of the Median
Part D Notes Part E Notes
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Part E Solutions Homework Solutions
Session 5: Variation About the Mean
Part A: Fair Allocations
The Mean | The Mean and the Median
Part B: Unfair Allocations
Fair and Unfair Allocations | Measuring the Degree of Fairness | Looking at Excesses and Deficits
Part C: Using Line Plots
Creating a Line Plot | Means from the Line Plots | Balancing Excesses and Deficits
Part D: Deviations from the Mean
Tallying Excesses and Deficits | Line Plot Representations
Part E: Measuring Variation
Means Absolute Deviation (MAD) | Working with the MAD | Variance and Standard Deviation
Part A Notes Part B Notes Part C Notes Part E Notes
Session 6: Designing Experiments
Part A: Comparative Studies
Part B: Comparative Observational Studies
A New Raisin Question | Using Five-Number Summaries and Box Plot | The Interquartile Range
Part C: Comparative Experimental Studies
Measuring Short-Term Recall | An Experiment | Experimental Design | Analysis of the Experiment
Part A Notes Part B Notes Part C Notes
Part A Solutions Part B Solutions Part C Solutions Homework Solutions
Session 7: Bivariate Data and Analysis
Part A: Scatter Plots
A Bivariate Data Question | Building a Scatter Plot | A Further Question | Quadrants
Part B: Contingency Tables
Part C: Modeling Linear Relationships
How Square Can You Be? | Analyzing the Differences | Using a Scatter Plot
Part D: Fitting Lines to Data
Trend Lines | Error | The SSE | More Lines | Summary
Part A Notes Part C Notes Part D Notes
Session 8: Probability
Part A: Probability in Statistics
What Is Probability | A Game of Chance
Part B: Mathematical Probability
Predicting Outcomes | Fair or Unfair? | Outcomes | Finding the Winner | Making a Probability Table
Part C: Analyzing Binomial Probablities
Making a Tree Diagram? | Probability Tables | Binomial Experiments | Pascal's Triangle
Part D: Are You a Random Player?
Developing the Mathematical Probability | Comparing Mathematical and Experimental Probability
Session 9: Random Sampling and Estimation
Part A: Random Samples
Counting Penguins | Making Estimates
Part B: Selecting the Sample
Fair Sampling | A Fair Sampling Method | Variation in Estimates
Part C: Investigating Variation in Estimates
Using a Stem and Leaf Plot | Judging the Quality of Estimates | Intervals Describing Intervals | Probabilities
Part D: The Effect of Sample Size
Sample Size 20 | Comparing Sample Sizes 10 and 20 | Box-Plot Comparisons
Part A Solutions Part B Solutions Part C Solutions Part D Solutions
Session 10: Classroom Case Studies
Grades K-2
Part A: Statistics as a Problem-Solving Process
Part B: Developing Statistical Reasoning
Part C: Inferences and Predictions
Part D: Examining Children's Reasoning
Grades 3-5
Grades 6-8
Learning Math Home | Data Home
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