MDM4U1 – AP Statistics
Ms. Pena, Mr. Stephens
AP Statistics Course Review List for 2023, 2024, 2025 v1
Unit-1 One-variable data AND two-variable categorical data
1.0
Introduction (sampling variability and simulation) and organizing data (vocabulary)
1.1
Analyzing categorical data (one and two variable categorical data)
1.2
Displaying quantitative data (graphs, CUSS, etc.)
1.3
Describing quantitative data with numbers (measures of center, measures of variability, outliers,
boxplots, etc.)
2.1
Describing location in a distribution (percentiles and z-scores, transforming data)
2.2
Density curves and the normal distributions
Unit-2 Two-variable quantitative data
3.0
Introduction (predicting wins for the Blue Jays)
3.1
Scatterplots and correlation
3.2
Least-square regression (residuals, etc.)
12.2* Transforming to achieve linearity (powers, roots, logarithms, etc.)
Unit-3 Collecting data
4.0
Introduction (sampling variability and simulation)
4.1
Sampling and surveys (acceptable sampling methods, etc.)
4.2
Experiments (observational versus experimental; language of experiments, design, etc.)
4.3
Using studies wisely (inference for sampling, inference for experiments, causation, etc.)
Unit-4A Probability
5.1
Randomness, probability, and simulation
5.2
Probability rules
5.3
Conditional probability and independence
Unit-4B Combinatorics (Data Management textbook)
s2.1
Organized counting
s2.2
The fundamental counting principle
s2.3
Permutations and factorials
s2.4
The rule of sum
s2.5
Probability problems using permutations
s3.1
Permutations with non-ordered elements
s3.2
Combinations
s3.3
Problem solving with combinations
s3.5
Probabilities using combinations
Unit-4C Random variables
6.1
Discrete and continuous random variables
6.2
Transforming and combining random variables
6.3A Binomial and hyper-geometric random variables (including the finite population correction, and Normal
approximation to these variables)
6.3B Geometric random variables
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MDM4U1 – AP Statistics
Ms. Pena, Mr. Stephens
Unit-5 Sampling Distributions
7.0
Introduction and the Normal distribution revisited
7.1
What is a sampling distribution (population parameters and sample statistics, etc.)
7.2
Sample proportions
7.3
Sample means (central limit theorem, etc.)
Unit-6 Inference for categorical data: proportions
8.0
Introduction (sampling variability)
8.1
Confidence intervals: the basics
8.2
Estimating a population proportion (confidence interval, choosing the sample size, etc.)
8.3*
Estimating a difference in proportions
9.1*
Significance tests: the basics (including Type I and Type II errors)
9.2*
Tests about a population proportion (including the power of a test)
9.3*
Tests about a difference in proportions
Unit-7 Inference for quantitative data: means
10.0
Introduction (sampling variability)
10.1
Estimating a population mean (confidence interval, t-distributions, choosing the sample size, etc.)
10.2* Estimating a difference in means (including matched pairs)
11.1* Tests about a population mean
11.2* Tests about a difference in means (including matched pairs)
Unit-8 Inference for categorical data: chi-squared
12.1* Chi-square tests for goodness of fit (chi-square distribution, follow-up analysis and contribution, etc.)
12.2* Inference for two-way tables (tests for homogeneity and independence)
Unit-9 Inference for quantitative data: slopes
12.3* Inference for linear regression (confidence intervals, significance tests, interpreting computer output,
etc.)
Unit-10 AP Exam preparation
Unit 11 Remaining topics from Data Management
s3.4A Yang Hui’s / Pascal’s triangle and combinations
s3.4B Yang Hui’s / Pascal’s triangle and binomial expansion
L3.4 Secondary data collection (including sources of secondary data, interpret and analyze data, and
Statistics Canada data)
L3.5 Uses and misuses of data
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MDM4U1 – AP Statistics
Ms. Pena, Mr. Stephens
Practise Questions:
AP Statistics textbook:
All chapter review and practise test questions at the end of each chapter.
AP Statistics additional resources:
Barron’s
AP Classroom
Data Management textbook:
All chapter review / self-test questions
Chapters 1 – 3 Cumulative Review
Chapters 4 – 6 Cumulative Review
Chapters 7 – 8 Cumulative Review
end of each chapter
p.138
p.314
p.438
Phrases
Standard deviation
R2
Confidence interval
Power
P-value
Slope and intercept
Confidence level
Standard deviation of slope
Correlation
Standard deviation of the residuals
Sampling distribution
Acronyms
CUSS
BINS
PHANTOMS
DUFFS
SIN, and SIIN
SINER
RAMP
PANIC2
s
Vocabulary
See next page.
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MDM4U1 – AP Statistics
Ms. Pena, Mr. Stephens
The list on the next page contains most (but not all) of the vocabulary from the Data Management course.
-experiment
-event
-trials
-outcomes
-complement
-odds for (in favour of)
-odds against
-mutually exclusive event
-conditional probability
-dependent/independent events
-term
-row number
-position number
-symmetry
-row sum
-investigations using Pascal’s triangle
-The Binomial Theorem
-frequency table
-frequency polygon
-grouping data
-histogram
-mean, median, mode
-standard deviation
-weighted mean
-Q1, Q2, Q3, IQR
-boxplot
-sampling techniques
-bias
-scatterplots
-outlier, outlier analysis
-linear correlation and correlation coefficient
-coefficient of determination
-linear regression
-residual plot
-cause and effect
-critical analysis
-differences between permutations and combinations
-tree diagrams
-indirect method
-fundamental counting principle
-additive counting principle
-factorial
-mutually exclusive
-identical items
-distinct items
-Venn diagrams
-probability distribution table and graph
-skew
-random variable
-outcome
-expectation
-discrete random variable, continuous random variable
-trial
-success
-failure
-Uniform, Binomial, Hypergeometric probability
distributions
-Standard Normal Distribution
-properties of a standard normal curve
-z-score
-area under curve
-sampling
-sample mean
-continuity correction
-normal approximation
-repeated sampling, central limit theorem
-confidence intervals
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