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Learning Math Home
Data Analysis, Statistics, and Probability
 
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Site Map for this Course

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:

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes
Part E Notes

Solutions:

Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video



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

Homework

Notes:

Part D Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part E Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Part E Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions

Video


Grades 3-5

Part A: Statistics as a Problem-Solving Process

Part B: Developing Statistical Reasoning

Part C: Inferences and Predictions

Part D: Examining Children's Reasoning

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions

Video


Grades 6-8

Part A: Statistics as a Problem-Solving Process

Part B: Developing Statistical Reasoning

Part C: Inferences and Predictions

Part D: Examining Children's Reasoning

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Part D Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions

Video



 
 

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