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AP Statistics Outline and Content

SEMESTER 1

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Unit 1: Exploring Data

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Unit 2: The Normal Distribution

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Unit 3: Examining Relationships Between Two Variable Data (Linear Regression)

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Unit 4: More on Two Variable Data

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Unit 5: Producing Data

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Unit 6: Probability: The Study of Randomness

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Unit 7: Random Variables

SEMESTER 2

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Unit 8: The Binomial and Geometric Distributions

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Unit 9: Sampling Distributions

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Unit 10: Introduction to Inference

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Unit 11: Inference for Proportions

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Unit 12: Inference for Distributions

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Unit 13: Inference for Tables: Chi-Square Procedures

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Unit 14: Inference for Regression

Final and AP Exam Review

 

 

SEMESTER 1

 

 

~~~~~~~~~~~~~~~~~~~~~~~     EXPLORING DATA     ~~~~~~~~~~~~~~~~~~~~~~

 

Unit 1: Exploring Data

  Video Lessons:

More coming soon

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Introduction to Statistics

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Types of Variables

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Types of Statistics or Conclusions

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Displaying Distributions with Graphs

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Describing Distributions with Numbers

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 1: What is statistics?

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Against All Odds Video 2: Picturing Distributions

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Against All Odds Video 3: Describing Distributions

 

  Unit Review:
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Under construction

 

~~~~~~~~~~~~~~~~~~~     ANTICIPATING PATTERNS     ~~~~~~~~~~~~~~~~~~

 

Unit 2: The Normal Distribution

  Video Lessons:
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Introduction to the Normal Distribution

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Computing Normal Probabilities on your TI-83 or 84

Coming soon

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Density Curves and the Normal Distribution

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Calculating Z Scores

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Standard Normal Calculations -- P(X > a)

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Standard Normal Calculations -- P(X < b)

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Standard Normal Calculations -- P(a < X < b)

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 4: Normal Distributions

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Against All Odds Video 5: Normal Calculations

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Adventures in Statistics: Being Normal in a Z-Score World

 

  Unit Review:
bulletUnder construction

 

Unit 3: Examining Relationships between Two Variable Data

  Video Lessons:

Coming soon

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Scatter Plots

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Correlation

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Least Squares Regression

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 8: Describing Relationships

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Against All Odds Video 9: Correlation

 

  Unit Review:
bulletUnder construction

 

Unit 4: More on Two-Variable Data

  Video Lessons:

Coming soon

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Transforming Relationships

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Correlation and Regression

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Categorical Data

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 4: Models for Growth

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Against All Odds Video 11: The Question of Causation

 

  Unit Review:
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Under construction

 

 

~~~~~~~~~~~~~~~     SAMPLING AND EXPERIMENTATION     ~~~~~~~~~~~~~~

 

Unit 5: Producing Data

  Video Lessons:

Coming soon

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Designing Samples

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Designing Experiments

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Simulating Experiments

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 12: Experimental Design

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Against All Odds Video 13: Blocking and Sampling

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Against All Odds Video 13: Samples and Surveys

 

  Unit Review:
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Under construction

 

Unit 6: Probability: The Study of Randomness

  Video Lessons:

Coming soon

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The Idea of Probability

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Probability Models

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General Probability Rules

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 15: What is Probability?

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Against All Odds Video 16: Random Variables

 

  Unit Review:
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Under construction

 

 

Unit 7: Random Variables

  Video Lessons:

Coming soon

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Discrete and Continuous Random Variables

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Means and Variances of Random Variables

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 16: Random Variables

 

  Unit Review:
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Under construction

 

SEMESTER 2

 

 

~~~~~~~~~~~~~~~     SAMPLING AND EXPERIMENTATION     ~~~~~~~~~~~~~~

 

Unit 8: The Binomial and Geometric Distributions

  Video Lessons:

Coming soon

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The Binomial Distribution

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The Continuity Correction and the Normal Approximation

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The Geometric Distribution

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 16: Random Variables

 

  Unit Review:
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Under construction

 

Unit 9: Sampling Distributions

  Video Lessons:

Coming soon

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Sampling Distributions for Sample Means

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Sample Proportions

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 18: The Sample Mean and Control Charts

 

  Unit Review:
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Under construction

 

 

~~~~~~~~~~~~~~~~~~~     STATISTICAL INFERENCE     ~~~~~~~~~~~~~~~~~~

 

Unit 10: Introduction to Inference

  Video Lessons:
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Type I and Type II Errors:  What are they?

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Power:  What is it?

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Introduction to Computing Type II Error

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Computing Type I and Type II Error and the Power of a Test - Example 1

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Coming Soon

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Estimating with Confidence

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Tests of Significance

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Making Sense of Statistical Significance

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Inference as a Decision

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 19: Confidence Intervals

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Against All Odds Video 20: Significance Tests

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Adventures in Statistics: Finding Confidence with Buff Peterson

 

  Unit Review:
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Under construction

 

Unit 11: Inference for Proportions

  Video Lessons:
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Tests of Significance -- Confidence Intervals for a Single Population Proportion

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Tests of Significance -- Confidence Intervals for Comparing Two Population Proportions

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Margin of Error and Sample Size

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Stating Hypotheses

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Steps for Conducting a Hypothesis Test

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Tests of Significance -- Hypothesis Tests for a Single Population Proportion

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Tests of Significance -- Hypothesis Tests for Comparing Two Population Proportions

bullet Confidence Interval for a Single Population Proportion
bullet Margin of Error and Sample Size
bullet Single Proportion Hypothesis Test
bullet Confidence Interval for Two Population Proportions
bullet Two Proportion Hypothesis Test
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  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 23: Inference for Proportions

 

  Unit Review:
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Under construction

 

Unit 12: Inference for Distributions

  Video Lessons:
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Tests of Significance -- Confidence Intervals for a Mean (when Population SD is known)

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Tests of Significance -- Confidence Intervals for a Mean (when Population SD is unknown)

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Margin of Error and Sample Size

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Stating Hypotheses

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Steps for Conducting a Hypothesis Test

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Tests of Significance -- Hypothesis Tests for a Mean (when Population SD is known)

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Tests of Significance -- Hypothesis Tests for a Mean (when Population SD is unknown)

bullet One Sample t Confidence Interval
bullet One Sample t Test -- (two tailed)
bullet Matched Pairs t Test (or Paired t Test)
bullet Two Sample t Test

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 21: Inference for One Mean

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Against All Odds Video 22: Comparing Two Means

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Adventures in Statistics: To Reject or Not to Reject: That's the Hypothesis

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Adventures in Statistics: Double the Mean, Double the Disco

 

  Unit Review:
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Under construction

 

Unit 13: Inference for Tables: Chi-Square Procedures

  Video Lessons:
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Tests for Goodness of Fit

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Inference for Two Way Tables

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 24: Inference for Two Way Tables

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Adventures in Statistics: Ip and Nadi: Adventures with Chi-Square

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  Unit Review:
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Under construction

 

Unit 14: Inference for Regression

  Video Lessons:
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Inference About the Model

 

  Notes (in pdf form):
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Coming soon

 

  Other Resources:
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Against All Odds Video 25: Inference for Relationships

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Against All Odds Video 26: Case Study

 

  Unit Review:
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Under construction

 

~~~~~~~~~~~~~~~~~~     Final Exam Review     ~~~~~~~~~~~~~~~~~~

AP Central and AP Exams:

Previous years AP Statistics Free Response exams are available for free download at
 
   http://www.collegeboard.com/student/testing/ap/prep_free.html#statistics

Directions (if link above does not work):

  1. Go to http://www.collegeboard.com/?student

  2. Register if you are not already registered.  Login if you are.

  3. Once you have logged in, go to http://www.collegeboard.com/student/testing/ap/prep.html

  4. Click on the link under "Free Response Questions"

  5. Click on "Statistics"

  6. Choose the year of the exam you are looking for. 

Exam Questions and How the Correspond to Our Course:
   
(first semester units are numbered 1 - 7; second semester units are renumbered 8 - 14)

AP Statistics 2001 Free Response Exam

  1. Unit 1 -- summary statistics and outliers

  2. Unit 7 -- random variables and expected value

  3. Unit 5 -- simulations and the random number table

  4. Unit 5 -- block design and randomization

  5. Unit 4 -- matched pairs t procedure

  6. Unit 3 and Unit 14 -- least squares regression and prediction; inference for regression;

AP Statistics 2002 Free Response Exam

  1. Unit 1 and Units 10 thru 12 -- interpreting graphs and confidence intervals

  2. Unit 5 -- design of experiments; double blind experiments

  3. Unit 7 -- combining random variables and their means and standard deviations

  4. Unit 3 -- least squares regression

  5. Unit 11 -- two sample t tests

  6. Unit 12 and Unit 13 -- one proportion confidence intervals; two proportion z tests; chi-square tests;

AP Statistics 2002 Form B Free Response Exam

  1. Unit 3-- scatter plots, correlation, and r-squared

  2. Unit 6 and Unit 7 -- probability, conditional probability, and expected value

  3. Unit 5 -- design of experiments and block design

  4. Unit 12  and 13 -- one proportion confidence intervals and interpreting categorical data

  5. Unit 1 -- box plots, center, spread, variation, and comparing distributions

  6. Unit 11 and Unit 13 -- two sample t-tests and chi-square goodness of fit tests

AP Statistics 2003 Free Response Exam

  1. Unit 1 and Unit 10 -- constructing and interpreting box plots; setting up a hypothesis test and choosing a procedure;

  2. Unit 10 and Unit 12 -- Type I and II Errors; one proportion hypotheses tests;

  3. Unit 2 and Unit 8 -- normal distribution and binomial probability

  4. Unit 5 -- design of experiments; randomization; control groups; and generalization;

  5. Unit 13 -- chi-square test of independence

  6. Unit 1 and Unit 12 -- interpreting graphs and one proportion confidence intervals

 

Other Resources:

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Against All Odds Video 26: Case Study

 

 

 

Others:

Odds
Expected Value (Expectation)
Tree Diagrams
Or Problems
And Problems
Conditional Probability
Counting Principle
Permutations
Combinations
Binomial Probability Formula

Statistics

Sampling Techniques
Frequency Distributions
Statistical Graphs
Measures of Central Tendency (Mean, Median, Mode)
Measures of Dispersion
The Normal Curve

 

 

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