Virginia Probability and Statistics

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) PS.1 Displaying Data a. Circle Graphs b. Bar Graphs c. Dotplots d. Stem and Leaf Display e. Histograms f. Cumulative Frequency Graphs g. Reading Ogives (Relative Cumulative Frequency Plots) h. Box and Whisker Plots (Random) PS.2 Numerical Descriptions of Data a. Measuring Center: Median, Mean b. Measuring Spread: Range, Interquartile Range, Standard Deviation c. Measuring Mean for Frequency Distributions d. Measuring Standard Deviation for Frequency Distributions e. Measuring Position: Quartiles, Percentiles, and Midquartile f. Z-Scores g. Chebyshev's Theorem h. Empirical Rule (Random) PS.3 Comparing Univariate Data a. Comparing Center and Spread b. Comparing Clusters and Gaps c. Comparing Outliers and other Unusual Features d. Comparing Shapes (Random) PS.4 Exploring Bivariate Data a. Scatterplots (scatter diagrams) b. Linear Correlation c. Analyzing patterns in scatterplots d. Correlation and Linearity (Random) PS.5 Linear Correlation a. Contingency Tables b. Scatterplots (scatter diagrams) c. Linear Correlation d. Linear Regression e. Predicting with Linear Regression f. Least Squares Regression Line g. Residual Plots, Outliers, and Influential Points (Random) PS.6 Creating Linear Correlation a. Transformations to achieve Linearity (Logs and Powers) (Random) PS.7 Frequency Tables a. Frequency and Relative Frequency Graphs b. Cumulative Frequency Graphs c. Frequency Tables and Bar Charts d. Marginal and Joint Frequencies for two-way Tables e. Conditional Relative Frequencies and Association (and Simpson's Paradox) f. Comparing Distributions Using Bar Charts (Random) PS.8 Data Collection a. Census b. Sample Survey c. Experiment d. Observational Study (Random) PS.9 Creating a Survey a. Characteristics of Well-Designed and Well-Conducted surveys b. Populations, Samples, and Random Selection c. Sources of bias in Sampling and Surveys d. Sampling methods, including Simple Random Sampling, Stratified Random Sampling, and Cluster Sampling (Random) PS.10 Creating an Experiment a. Characteristics of Well-Designed and Well-Conducted Experiments b. Treatments, Control Groups, Experimental Units, Random Assignments, and Replication c. Sources of Bias and Confounding, including Placebo Effect and Blinding d. Completely Random Design e. Randomized Block Design, Including Matched Pairs Design	(Random) PS.11 Probability Part 1 a. Empirical vs. Theoretical vs. Subjective Probability b. Law of Large Numbers c. Finding Sample Space d. Mutually Exclusive and Basic Probabilities e. Finding Probability of Independent Events f. Finding Probability of Dependent Events g. Identifying Permutations and Combinations h. Calculating Permutations (And other cases where order matters) i. Calculating Combinations j. Calculating Rearrangements of Words k. Using Formulas (Random) PS.12 Probability Part 2 a. "Law of Large Numbers" concept b. Addition Rule, Multiplication Rule, Conditional Probabilities, and Independence (Random) PS.13 Discrete Random Variable a. Discrete vs. Continuous Random Variables b. Probability Distributions c. Mean of a Discrete Random Variable d. Variance and Standard Deviation of a Discrete Random Variable e. Definition of a Binomial Probability Distribution f. Mean and Standard Deviation of Binomial Distributions (Random) PS.14 Probability Distributions a. Discrete Random Variables and their Probability Distributions (including Binomial and Geometric) b. Simulation of Random Behavior and Probability Distributions c. Mean (Expected Value) and Standard Deviation of a Random Variable and Linear Transformation of a Random Variable (Random) PS.15 Random Variables a. Notion of Independence vs. Dependence b. Mean and Standard Deviation for Sums and Differences of Independent Random Variables (Random) PS.16 Normal Distribution a. Properties of Normal Distribution b. Using Tables of the Normal Distribution c. The Normal Distribution as a Model for Measures (Random) PS.17 Estimation a. Estimating Population Parameters and Margins of Error b. Properties of Point Estimators, including Unbiased and Variability c. Logic of Confidence Intervals, Meaning of Confidence Level and Confidence Intervals, and Properties of Confidence Intervals. d. Large Sample Confidence Interval for a Proportion e. Large Sample Confidence Interval for a difference between two Proportions f. Confidence Interval for a Mean g. Confidence Interval for a difference between two Means (paired and unpaired) h. Confidence Interval for the Slope of a Least-Squares Regression Line (Random) PS.18 Hypothesis Tests a. Logic of Significance Testing, Null and Alternative Hypotheses; p-values, one- and two- Sided Tests; Concepts of Type I and Type II errors; Concept of Power b. Large Sample Test for a Proportion c. Large Sample Test for a Difference between two Proportions d. Test for a Mean e. Test for a Difference between two Means (paired and unpaired) f. Chi-Square test for Goodness of Fit, homogeneity of proportions, and independence (one- and two-way tables) g. Test for the Slope of a Least-Squares Regression Line h. Chi-Square Distribution (Random) PS.19 Sampling Distributions a. Sampling Distributions b. Sampling Distribution of a Sample Proportion c. Sampling Distribution of a Sample Mean d. Central Limit Theorem e. Sampling Distribution of a difference between two Independent Sample Proportions f. Sampling Distribution of a difference between two Independent Sample Means g. Simulation of Sampling Distributions (Random) PS.20 T-Distribution a. t-Distribution b. Confidence Interval for a Mean c. Confidence Interval for a difference between two Means (paired and unpaired) d. Test for a Mean e. Test for a Difference between two Means (paired and unpaired)
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