High School Statistics Skills Practice
Skills available for High School Statistics Skills Practice
Introduction to Data Analysis
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Foundational Concepts
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Identifying Parameters
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How to Identify Statistics
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Identifying Individuals in a Data Set
Variables and Measurement
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How to Identify Variables in a Data Set
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How to Identify Quantitative Variables
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How to Identify Categorical Variables
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How to Classify Variables by Levels of Measurement
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How to Identify Discrete Variables
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How to Identify Continuous Variables
Categorical Data Analysis
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Analyzing One Categorical Variable
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How to Read a Pictograph
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How to Create a Pictograph
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Comparing Pictographs
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Interpreting Bar Charts
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How to Construct a Percent Bar Graph
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How to Compare Bar Charts
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Interpreting Double Bar Charts
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How to Create Double Bar Charts
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Comparing Double Bar Charts
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How to Read Circle Graphs
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How to Create a Pie Chart
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How to Compare Pie Charts
Analyzing Two Categorical Variables
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How to Interpret Venn Diagrams
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How to Create a Venn Diagram
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Interpreting Two-Way Frequency Tables
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Creating Two-Way Frequency Tables
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Interpreting Two-Way Relative Frequency Tables
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Creating Two-Way Relative Frequency Tables
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Comparing Two-Way Frequency Tables
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Creating Marginal Distributions
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How to Create a Conditional Distribution
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Computing Conditional Probability Using a 2-Way Frequency Table
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Computing Conditional Probability to Make an Inference Using a 2-Way Frequency Table
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Computing Conditional Probability Using a Large 2-Way Frequency Table Conditional Probability
Quantitative Data Analysis
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Analyzing One Quantitative Variable
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Interpreting Dot Plots
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How to Create Dot Plots
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Comparing Dot Plots
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Interpreting Line Plots
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Identifying Misleading Line Graphs
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Comparing Line Plots
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How to Interpret a Time Series Plots
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How to Create a Time Series Plot
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Comparing Time Series Plots
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How to Interpret a Histogram
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How to Create a Histogram
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How to Compare Two Histograms
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How to Interpret Stem-and-Leaf Plots
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Reading Data from Stem and Leaf Plots
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How to Interpret Back-to-Back Stem-and-Leaf Plots
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How to Create a Back-to-Back Stem-and-Leaf Plot
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How to Measure the Center of Data by Finding the Mean, Median, and Mode
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Comparing Mean, Median & Mode
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How to Calculate a Missing Data Value given the Mean of a Data Set
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How to Find Variance and Standard Deviation
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Calculating Population Standard Deviation
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How to Use Chebyshev's Theorem
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Summarizing a Data Set with a Five-Number Summary
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How to Find Interquartile Range
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Determining Whether to Use Mean & Standard Deviation or Median & IQR
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Determining Outliers Using Standard Deviation
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Determining Outliers Using the Fence Rule
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Interpreting Box-and-Whisker Plots
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Create a Box-and-Whisker Plot
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Comparing Box-and-Whisker Plots
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Interpreting Modified Box-and-Whisker Plots
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Creating Modified Box-and-Whisker Plots
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Comparing Modified Box-and-Whisker Plots
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How to Interpret Percentiles
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Interpreting Percentile Ranks
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How to Calculate Percentiles
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How to Calculate Quartiles
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How to Construct a Frequency Distribution
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How to Construct a Frequency Polygon
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Analyzing Cumulative Relative Frequency Graphs & Ogives
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How to Calculate Z-scores
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Calculating an Observed Value When Given a Z-Score & Distribution Parameters
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Comparing Z-scores
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Recalculating Summary Statistics Based on Linear Transformations
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Describing the Effects of Linear Transformations Using a Graph
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Labeling the Mean and Median of Density Curves Based on Shape
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Calculating Areas Under Density Curves
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Interpreting Areas Under Density Curves
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Describing Normal Distributions Using the Empirical Rule
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Using the Empirical Rule to Identify Values of a Normal Distribution
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Finding Probabilities under a Normal Curve Using the Empirical Rule
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Computing a Shaded Region's Standard Normal Probability When the Shaded Region is Less Than X
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Finding Probability Given a Basic Word Problem Involving Normal Distribution
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Finding Probability Given an Advanced Word Problem Involving Normal Distribution
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Computing a Shaded Region's Standard Normal Probability When the Shaded Region is Greater Than X
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Computing a Shaded Regions Standard Normal Probability When the Shaded Region is in Between X & Y
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Finding Thresholds for a Percentile
Analyzing Two Quantitative Variables
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How to Interpret a Scatterplot
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How to Create a Scatterplot
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How to Construct a Scatter Plot from a Table of Data on Given Axes with Integers
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Constructing a Scatter Plot from a Table of Data on Given Axes with Decimals
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Measuring the Strength of Linear Associations with a Correlation Coefficient
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Understanding Linear Relationship and the Correlation Coefficient
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Determining Outliers in a Scatterplot
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Determining the Least-Squares Regression Line Using Technology
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Interpreting the Slope of a Least-Squares Regression Line
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Interpreting the Y-intercept of a Least-Squares Regression Line
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Making Predictions Using the Least-Squares Regression Line
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How to Make Predictions from the Line of Best Fit
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How to Compute Residuals
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How to Interpret a Residual Plot
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Interpreting the Standard Deviation of the Residuals
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Interpreting Computer Output for Regressions
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Identifying the Effects of Removing Outliers on Regression Lines
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Classifying Linear and Nonlinear Relationships from Scatterplots
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Classifying Linear & Nonlinear Relationships from Scatter Plots
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Transforming Nonlinear Models to Linear
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Making Predictions Using Nonlinear Models
Study Design
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Observational Studies
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Writing Statistical Questions for Observational Studies
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Identifying the Population of Interest
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Differentiating Between Population of Interest & a Sample
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Identifying Bias in Sample Selection
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How to Select a Simple Random Sample
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Generating Random Samples From a Population with Known Characteristics
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Selecting a Cluster Random Sample
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How to Select a Systematic Random Sample
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How to Identify Bias in a Survey
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Analyzing Observational Studies
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Differentiating Between Correlation and Causation
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Identifying Correlation and Causation
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Conducting a Simulation Using a Table of Random Digits
Experimental Studies
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Identifying Outcomes in a Random Number Table Used to Simulate a Simple Event
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How to Use a Random Number Table to Simulate a Simple Event
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How to Generate a Random Number Table with Technology to Simulate a Simple Event
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Identifying Outcomes in a Random Number Table Used to Simulate a Compound Event
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How to use a Random Number Table to Simulate a Compound Event
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How to Design an Experimental Study
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Designing a Matched Pairs Experimental Study
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Identifying the Principles of Experimental Design Used in a Study
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Differentiating the Scopes of Inference for Studies
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Determining when an Experiment or Observational Study is Required
Probability
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Probability Basics
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Choosing an Appropriate Method for Gathering Data
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Choosing an Appropriate Basic Method For Gathering Data
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Determining a Sample Space For a Simple Event
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Determining Outcomes For a Simple Event
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Calculating Theoretical Probability
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Determining a Sample Space For a Compound Event
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Determining Outcomes for Complements of Events
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How to Shade a Venn Diagram to Indicate the Union of Events
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How to Shade a Venn Diagram to Indicate the Intersection of Events
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How to Shade a Venn Diagram to Indicate the Complement of an Event
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Calculating Probability Using a Venn Diagram
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How to Use the Addition Rule for Disjoint Events
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Solving a Word Problem Involving the Probability of a Union
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Calculating Event Probability Using the Addition Rule
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Solving a Word Problem Involving the Probability of an Intersection
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Computing the Conditional Probability of an Event
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Computing Conditional Probability Using a Sample Space
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Computing Basic Conditional Probability
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Using a Tree Diagram to Reverse the Condition
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Using Theoretical Probability Formulas to Determine Independence
Experimental Probability
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Identifying Independent & Dependent Events
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Using Probabilities to Identify Independent Events
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How to Calculate Experimental Probabilities
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Calculating Experimental Probability
Combinatorics
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Using a Tree Diagram to Count Outcomes
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Interpreting a Tree Diagram
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Introduction to Permutations
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Introduction to Combinations
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Solving Word Problems Involving Combinations
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Finding Probabilities Using Permutations
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How to Calculate Conditional Probabilities Using Combinations
Random Variables
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How to Identify a Random Variable in a Scenario
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Classifying Random Variables as Discrete or Continuous
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Constructing a Probability Distribution for a Discrete Random Variable
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How to Determine Valid Probability Distributions of Discrete Random Variables
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How to Calculate Probabilities Using Probability Distributions
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How to Calculate the Mean or Expected Value of a Discrete Random Variable
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How to Calculate the Variance of a Discrete Random Variable
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How to Calculate the Standard Deviation of a Discrete Random Variable
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Describing the Impact of Transformations on the Mean & Standard Deviation of a Random Variable
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How to Calculate the Mean or Expected Value of the Sum of Two Random Variables
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How to Calculate the Mean or Expected Value of the Difference of Two Random Variables
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How to Calculate the Variance of the Sum of Two Random Variables
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How to Calculate the Standard Deviation of the Sum of Two Random Variables
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How to Calculate the Variance of the Difference of Two Random Variables
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How to Calculate the Standard Deviation of the Difference of Two Random Variables
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Combining Normal Random Variables
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Recognizing Binomial Random Variables
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Approximating Independence with the 10 Percent Rule
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How to Interpret a Binomial Distribution
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How to Create a Binomial Distribution
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Finding the Probability of a Particular Number of Successes from a Binomial Probability Distribution
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Using the Binomial Formula to Solve a Basic Word Problem
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Using the Binomial Formula to Solve an Advanced Word Problem
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How to Calculate the Variance of a Binomial Distribution
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How to Calculate the Standard Deviation of a Binomial Distribution
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Recognizing Geometric Random Variables
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Finding the Probability for a Particular Value of a Geometric Random Variable
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Finding the Probability for a Range of Values of a Geometric Random Variable
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How to Calculate the Mean or Expected Value of a Geometric Distribution
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Calculating the Variance of a Geometric Distribution
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Calculating the Standard Deviation of a Geometric Distribution
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Recognizing Hypergeometric Random Variables
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Finding the Probability for a Particular Value of a Hypergeometric Random Variable
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Finding the Probability for a Range of Values of a Hypergeometric Random Variable
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How to Calculate the Mean or Expected Value of a Hypergeometric Distribution
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Calculating the Variance of a Hypergeometric Distribution
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Calculating the Standard Deviation of a Hypergeometric Distribution
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Recognizing Poisson Random Variables
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Finding the Probability for a Particular Value of a Poisson Random Variable
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Finding the Probability for a Range of Values of a Poisson Random Variable
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How to Calculate the Mean or Expected Value of a Poisson Distribution
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How to Calculate the Variance of a Poisson Distribution
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How to Calculate the Standard Deviation of a Poisson Distribution
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Recognizing a Continuous Uniform Distribution
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Finding the Probability for a Range of Values for a Continuous Uniform Distribution
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Calculating the Mean of a Continuous Uniform Distribution
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Calculating the Variance of a Continuous Uniform Distribution
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Calculating the Standard Deviation of a Continuous Uniform Distribution
Sampling Distributions
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Sampling Distribution of a Sample Proportion
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Determining the Mean of a Sampling Distribution of the Sample Proportion
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Calculating the Variance of the Sampling Distribution of a Sample Proportion
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Calculating the Standard Deviation of the Sampling Distribution of a Sample Proportion
Sampling Distribution of a Sample Mean
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Differentiating Between the Distribution of a Sample and the Sampling Distribution of Sample Means
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Applying the Central Limit Theorem to the Sampling Distribution of Sample Means
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Determining the Mean of the Sampling Distribution of a Sample Mean
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Calculating the Variance of the Sampling Distribution of a Sample Mean
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Calculating the Standard Deviation of the Sampling Distribution of a Sample Mean
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Calculating the Standard Error of the Sampling Distribution of a Sample Mean
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Determining Whether a Z-distribution or T-distribution is Appropriate
Confidence Intervals
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Introduction to Confidence Intervals
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How to Construct a Confidence Interval Given a Statistic & a Margin of Error
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How to Interpret a Confidence Interval
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How to Interpret a Confidence Level
Estimating a Population Proportion
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Verifying the Conditions for Creating a Confidence Interval for a Population Proportion
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How to Find the Critical Z-value for a Given Confidence Level
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Constructing a Confidence Interval for a Population Proportion
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Interpreting a Confidence Interval for a Population Proportion
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Determining a Sample Size for a Confidence Interval for a Population Proportion Based on Confidence & Margin of Error
Estimating a Population Mean
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Verifying the Conditions for Creating a Confidence Interval for a Population Mean
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Finding the Critical T-value for a Given Confidence Level & Sample Size
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How to Construct a Confidence Interval for a Population Mean
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How to Interpret a Confidence Interval for a Population Mean
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How to Construct a Confidence Interval for a Population Mean with Paired Data
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How to Interpret a Confidence Interval for a Population Mean with Paired Data
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Determining a Sample Size for a Confidence Interval for a Population Mean Based on Confidence & Margin of Error
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How to Construct a Confidence Interval With a Small Sample Size
Hypothesis Tests
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Significance Test Basics
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How to Write a Null Hypothesis For a Given Situation
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What is an Alternative Hypothesis For a Given Situation?
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Interpreting the Statistical Significance of Data Based on a P-Value & a Significance Level
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How to Interpret the Meaning of a Given P-Value
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How to Estimate a P-Value From a Simulation
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How to Make Valid Conclusions Using a P-Value
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Identifying a Type I Error of a Hypothesis Test
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Identifying a Consequence of a Type I Error of a Hypothesis Test
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Identifying a Type II Error of a Hypothesis Test
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Identifying a Consequence of a Type II Error of a Hypothesis Test
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Interpreting the Power of a Particular Significance Test
Hypothesis Test for Population Proportion
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Writing Hypotheses for a Significance Test for a Proportion
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Verifying the Conditions for Conducting a Hypothesis Test for a Proportion
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How to Calculate the Z-statistic for a Hypothesis Test for a Proportion
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Learn How to Determine a P-Value Given a Z-statistic for a Hypothesis Test for a Proportion from a Z-table
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How to Determine a P-Value Given a Z-statistic for a Hypothesis Test for a Proportion from Technology
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Making Valid Conclusions about a Hypothesis Test for a Proportion
Hypothesis Test for Population Mean
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Writing Hypotheses for a Significance Test for a Mean
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Verifying Conditions for Conducting a Hypothesis Test for a Mean are Met
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How to Calculate the T-statistic for a Hypothesis Test for a Mean
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How to Determine a P-Value Given a T-statistic for a Hypothesis Test for a Mean from a T-table
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How to Determine a P-Value Given a T-statistic for a Hypothesis Test for a Mean from Technology
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Making Valid Conclusions about a Hypothesis Test for a Mean
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How to Conduct a Sign Test
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How to Conduct a Wilcoxon Signed Rank Test
Two-Sample Inference
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Comparing Two Proportions
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How to Create a Confidence Interval for the Difference in Proportions of Two Independent Groups
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How to Interpret a Confidence Interval for the Difference in Proportions of Two Independent Groups
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How to Conduct a Hypothesis Test for the Difference in Proportions of Two Independent Groups
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How to Interpret the Results of a Hypothesis Test for the Difference in Proportions of Two Independent Groups
Comparing Two Means
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How to Create a Confidence Interval for the Difference in Means of Two Independent Groups
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How to Interpret a Confidence Interval for the Difference in Means of Two Independent Groups
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How to Conduct a Hypothesis Test for the Difference in Means of Two Independent Groups
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How to Interpret the Results of a Hypothesis Test for the Difference in Means of Two Independent Groups
Chi-square Tests
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Goodness-of-Fit Test
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Verifying the Conditions for Conducting a Chi-Square Goodness-of-Fit Test are Met
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How to Conduct a Chi-Square Goodness-of-Fit Test Using Technology
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How to Interpret a Chi-Square Goodness-of-Fit Test Using Technology
Test for Independence
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Verifying the Conditions for Conducting a Chi-Square Test for Independence are Met
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How to Conduct a Chi-Square Test for Independence Using Technology
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How to Interpret a Chi-Square Test for Independence Using Technology
Test for Homogeneity
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Verifying the Conditions for Conducting a Chi-Square Test for Homogeneity are Met
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How to Conduct a Chi-Square Test for Homogeneity Using Technology
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How to Interpret a Chi-Square Test for Homogeneity Using Technology
Linear Regression Inference
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Confidence Interval for Slope
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Verifying the Conditions for Creating a Confidence Interval for a Slope of a Regression Line are Met
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How to Create a Confidence Interval for the Slope of a Regression Line
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How to Interpret a Confidence Interval for the Slope of a Regression Line
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Using a Confidence Interval to Test the Slope
Hypothesis Test for Slope
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Verifying the Conditions for a Hypothesis Test for Linearity
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How to Write Hypotheses for a Hypothesis Test for the Slope of a Regression Line
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How to Calculate a T-Statistic for the Slope of Regression Line
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How to Determine the P-Value for a Hypothesis Test for Linearity Using Technology
Analysis of Variance (ANOVA)
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ANOVA Tests
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How to Calculate the Total Sum of Squares (SST)
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How to Calculate the Total Sum of Squares Within and Between (SSW and SSB)
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Verifying the Conditions for Conducting an ANOVA F-Test are Met
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How to Conduct an ANOVA F-Test Using Technology
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How to Interpret the Results of an ANOVA F-Test Using Technology
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How to Interpret Group Means from a Factorial Design
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How to Interpret Control Charts
This collection of statistics resources is designed to help students learn and master the fundamental high school statistics skills. Our library includes thousands of statistics practice problems, step-by-step explanations, and video walkthroughs.