# AP Statistics Interactive Notebook Activities & Scaffolded Notes

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These math journal and/or note-taking activities introduce students to 9 units of statistics (over 290 pages of useful materials). They can be used for introduction of topics or to reflect/review what you have covered in class discussion. The problems listed in this activity packet build nicely on each other if introduced in the order that they appear. Our students enjoy filling them out and organizing them in their math journals so that they can refer back to them throughout the year. These activities are a great way to promote writing in math. Keys are included for reference.

Statistics Supplementary Materials and Alignment Guide

Scaffolded Note Sheets with Sample Teacher Keys for the following:

Introduction to Statistics
A Definition of Statistics
Data Sets
Matching Key Terms
Identifying Data Sets
Parameter or Sample Statistic?
Branches of Statistics
Types of Data
Data: Levels of Measurement
Identifying Levels of Measurement
Guidelines for Designing a Statistical Study
Methods of Data Collection
Deciding on the Method of Data Collection
Factors that Can Ruin Experimental Results
Techniques that Can Be Used to Get Unbiased Results
Sample Size and Replication
Defining Key Terms
Commonly Used Sampling Techniques
Determining Sampling Methods
Project: Evaluate the Data Collection in a Research Study
Plus 10 Interactive Math Notebook Foldable Activities

Descriptive Statistics
Frequency Distribution
Guidelines for Constructing a Frequency Distribution from a Data Set
Construct a Frequency Distribution
Additional Features for a Standard Frequency Distribution
Finding Midpoints, Relative Frequencies, and Cumulative Frequencies
Construct a Frequency Histogram
Construct a Frequency Polygon
Construct a Relative Frequency Histogram
Construct a Cumulative Frequency Graph (Ogive)
Construct a Stem-and-Leaf Plot
Construct a Stem-and-Leaf Plot (Two Rows for Each Stem)
Construct a Dot Plot
Construct a Pie Chart
Construct a Pareto Chart
Construct a Scatter Plot
Construct a Time Series Chart
Measures of Central Tendency
Finding Measures of Central Tendency
Outliers
Finding a Weighted Mean
Finding the Mean of a Frequency Distribution
The Shapes of Frequency Distributions
Finding the Range of a Data Set
Finding the Deviation of a Data Set
Finding the Mean Absolute Deviation
Finding the Population Variance and Standard Deviation
Finding the Sample Variance and Standard Deviation
Empirical Rule (Or 68-95-99.7 Rule)
Chebychev’s Theorem
Finding the Standard Deviation for Grouped Data
Using Midpoints of Classes to Find Standard Deviation
Quartiles of a Data Set
Interquartile Range (IQR)
Construct a Box-and-Whisker Plot
Deciles and Percentiles
Standard Score or Z-Score
Plus 22 Interactive Math Notebook Foldable Activities

Probability
Probability Experiment
Simple Event
Identifying Simple Events
Fundamental Counting Principal
Using the Fundamental Counting Principle
Types of Probability
Classical Probability
Finding Classical Probabilities
Empirical Probability
Finding Empirical Probabilities
Law of Large Numbers
Subjective Probability
Classifying Types of Probability
Range of Probabilities Rule
Probability of the Complement of an Event
Conditional Probability
Finding Conditional Probabilities
Independent vs. Dependent Events
Identifying Independent and Dependent Events
Multiplication Rule for the Probability of A and B
Mutually Exclusive Events
Are the Events Mutually Exclusive?
Addition Rule for the Probability of A and B
Using the Addition Rule for the Probability of A and B
Permutation
Permutations of n Objects Taken r at a Time
Distinguishable Permutations
Permutation vs. Combination
Combinations of n Objects Taken r at a Time
Plus 13 Interactive Math Notebook Foldable Activities

Discrete Probability Distributions
Random Variables
Discrete vs. Continuous Variables
Discrete Probability Distributions
How to Verify Probability Distributions
Verifying Probability Distributions
Probability Distributions (Example and Non Example)
Mean, Variance, and Standard Deviation of a Discrete Random Variable
Mean of a Discrete Random Variable
Finding the Mean of Discrete Random Variables
Variance of Discrete Random Variable
Finding the Variance of Discrete Random Variables
Standard Deviation of a Discrete Random Variable
Finding the Standard Deviation Given the Variance
Expected Value
Finding the Expected Value
Binomial Experiment
Binomial Probability Formula
Using the Binomial Probability Formula
Constructing a Binomial Distribution
Practice Constructing Binomial Distributions
Finding Binomial Probabilities Using Formulas
Graphing a Binomial Distribution
Population Parameters of a Binomial Distribution
Finding Mean, Variance, and Standard Deviation
The Geometric Distribution
Using the Geometric Distribution to Find Probabilities
The Poisson Distribution
Using the Poisson Distribution to Find Probabilities
Plus 10 Interactive Math Notebook Foldable Activities

Normal Probability Distributions
Continuous Probability Distributions
Normal Distribution
Probability Density Function
Mean and Standard Deviation of a Normal Curve
Interpreting graphs of Normal Distributions
The Standard Normal Distribution
Guidelines for Finding Areas Under the Standard Normal Curve
Finding the Area Under the Standard Normal Curve
Finding Probabilities for Normal Distributions
Practice Finding Probabilities for Normal Distributions
Finding a z-Score Given an Area
Practice Finding a z-Score Given an Area
Finding a z-Score Given a Percentile
Practice Finding a z-Score Given a Percentile
Transforming a z-Score to an x-Value
Finding an x-Value for a Given z-Score
Finding a Specific Data Value
Find the Sampling Distribution of Sample Means
The Central Limit Theorem
Using the Central Limit Theorem
Probability and the Central Limit Theorem
Finding Probabilities for Sampling Distributions
Finding Probabilities for x and x ̅
Normal Approximation to a Binomial Distribution
Using a Continuity Correction
Approximating a Binomial Probability
Plus 14 Interactive Math Notebook Foldable Activities

Confidence Intervals
Finding a Point Estimate
Math Terms: Interval Estimate, Level of Confidence, Critical Values
Matching Key Terms
Level of Confidence and z_c
Finding the Margin of Error
Confidence Intervals
Constructing Confidence Intervals
Determining a Minimum Sample Size
t-Distributions
Finding Critical Values of t
Constructing a Confidence Interval for a t-Distribution
Normal Distribution vs. t-Distribution
Finding a Point Estimate for p
Constructing a Confidence Interval for p
Finding a Minimum Sample Size to Estimate p
Chi-Square Distributions
Finding Critical Values for x^2
Constructing a Confidence Interval for a Variance and Standard Deviation
Plus 16 Interactive Notebook Activities!

Hypothesis Testing With One Sample
Hypothesis Testing
Statistical Hypothesis
Stating the Null and Alternative Hypotheses
Types of Errors
Identifying Type I and Type II Errors
Test Statistics
P-Value of a Hypothesis Test
Identifying the Nature of a Hypothesis Test
Decision Rule Based on P-Value
Interpreting a Decision
Steps for a Hypothesis Test Using P-Values
Writing the Hypotheses
Interpreting a P-Value
Finding the P-Value for a Hypothesis Test
Using P-Values for a z-Test
Hypothesis Testing Using P-Values
Rejection Regions and Critical Values
Finding Critical Values in a Normal Distribution
Using Rejection Regions for a z-Test
Testing Mean with a Large Sample
Critical Values in a t-Distribution
Test for a Mean (Sample less than 30,Standard Deviation Unknown)
Testing a Mean with a Small Sample
Using P-Values with t-Tests
z-Test for a Proportion p
Hypothesis Test for a Proportion
Critical Values for X^2-Test
X^2-Test for a Variance or Standard Deviation
Using a Hypothesis Test for the Population Variance
Using a Hypothesis Test for the Standard Deviation
Plus 20 Interactive Notebook Activities!

Hypothesis Testing With Two Samples
Independent and Dependent Samples
Independent or Dependent?
Null and Alternative Hypotheses for Two-Sample Hypothesis Test with Independent Samples
Conditions Necessary to Perform a z-Test for the Difference Between Means
Finding the Standardized Test Statistic and the Standard Error
Two-Sample z-Tests for the Difference Between Means
Conditions Necessary to Perform a Two-Sample t-Test for the Difference Between Means
Finding the Standardized Test Statistic and the Standard Error
Two-Sample t-Test for the Difference Between Means (Variances NOT Equal)
Two-Sample t-Test for the Difference Between Means (Variances Equal)
Conditions Necessary to Perform a Two-Sample Hypothesis Test with Dependent Samples
Using the t-Test for the Difference Between Means (Dependent Samples)
Conditions Necessary to Perform z-Test for the Difference Between Proportions
Sampling Distributions for the Difference Between Sample Proportions
Two-Sample z-Test for the Difference Between Proportions: Standardized Test Statistic
Two-Sample z-Test for the Difference Between Proportions
Plus 7 Interactive Notebook Activities!

Correlation and Regression
Correlation
Types of Correlation
Constructing a Scatter Plot
Correlation Coefficient
Calculating the Correlation Coefficient
Using a Table to Test a Population Correlation Coefficient p
The t-test for a Correlation Coefficient
Things Researchers Must Consider When Two Variables are Strongly Correlated
Using the t-Test for Correlation Coefficient
Regression Lines (Lines of Best Fit)
The Equation of a Regression Line
Finding the Equation for a Regression Line
Three Types of Variation about a Regression Line
Coefficient of Determination
Finding the Coefficient of Determination
Standard Error of Estimate
Finding the Standard Error of Estimate
Prediction Interval
Constructing a Prediction Interval
Plus 10 Interactive Notebook Activities!

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