Statistics Interactive Notebook Activities & Guided Notes Bundle

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Apples and Bananas Education
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9th - 12th, Homeschool
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291 pages
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Apples and Bananas Education
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Description

These guided/scaffolded 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 (INBs) 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.

**Each product in this folder is in a zip file. Each zip file contains non-editable, PDF files.

We recently added a CCSS alignment guide to help you plan and prepare which you can access as a FREE download here:

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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Total Pages
291 pages
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