Unit 1: Representing Data Graphically
Students develop skills and instincts that will allow them to create clear, convincing presentations of any data set they encounter. They also learn to look at any data chart or plot with a critical, mathematical eye and point out trends and important features of the data. They work on an extended graphing exercise throughout the unit and prepare a presentation.
- Course Introduction
- Introduction: Representing Data Graphically
- Data and Variables
- Graphs of Categorical Data
- Two-Way Tables
- Line Plots
- Frequency Tables
- Histograms
- Stem-and-Leaf Plots
- Time Series Plots
Unit 2: Representing Data Numerically
Students work with real data from 55 national parks in the United States, learning how to represent an entire set of data by using single numbers that describe where the center of the distribution is located and how the data are spread.
- Introduction: Representing Data Numerically
- Measures of Center
- Box Plots
- Determining Quartiles
- Outliers
- Comparing Data Sets
- Measuring Spread
- Transforming Data Sets
Unit 3: Counting and Probability
Students learn mathematical formulas for counting large sets and determine the number of combinations and arrangements. They also learn basic probability and the difference between experimental and theoretical probability.
- Introduction: Counting and Probability
- Counting Methods
- Permutations
- Combinations
- Basic Probability
- Geometric Probability
- Mutually Exclusive Events
- Overlapping Events
- Independent and Dependent Events
- Experimental Probability
Unit 4: Random Variables and Distributions
Students begin to develop a more keen understanding of descriptive statistics.
- Introduction: Random Variables and Distributions
- Creating Probability Distributions
- Interpreting Probability Distributions
- Expected Value
- Binomial Distributions
- Continuous Random Variables
- The Normal Distribution
- Standardizing Data
- Comparing Scores
- The Standard Normal Curve
- Finding Standard Scores
Unit 5: Sampling
Students begin to learn about sampling and how to apply statistical methods to valid samples.
- Introduction: Sampling
- Sample and Population
- Bias in Sampling
- Reducing Bias
- Statistics and Parameters
- Interval Estimates
Unit 6: Statistical Inference
Students learn how to put the power of statistics to work.
- Introduction: Statistical Inference
- The Central Limit Theorem
- Estimating Means
- Mean Differences
- Estimating Proportions
- Proportion Differences
Unit 7: Relationships Between Variables
Students learn how to identify and describe relationships between variables.
- Introduction: Relationships Between Variables
- Scatter Plots
- Association
- The Correlation Coefficient
- Fitting a Line to Data
- Least Squares Regression
- Regression Analysis
- Cautions in Statistics
Unit 8: Semester Review and Test
Students review what they have learned and take the semester exam.
- Semester Review
- Semester Test