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AP Statistics curriculum

A current AP Statistics sequence covering data collection, one-variable analysis, probability, random variables, inference for proportions and means, chi-square methods, and regression.

AP Statistics / introductory college statistics

AP Statistics curriculum

A current AP Statistics sequence covering data collection, one-variable analysis, probability, random variables, inference for proportions and means, chi-square methods, and regression.

Pacing
5 units, 24-34 weeks self-paced
Units
5 unit sequence
Practice
400 checked answers
Support
Self-paced or tutor-guided
Outcomes
  • Select defensible methods for collecting, displaying, and analyzing data.
  • Use probability and simulation to quantify uncertainty and sampling variability.
  • Write AP-ready inference conclusions with parameters, conditions, evidence, and context.
Course command center

Know what to study, what to repair, and where to jump next

This track is organized as a mastery loop: source study, sequenced checks, Khan report evidence, then tutor handoff only when the data shows a real stuck point.

5
Units
400
Checks
80-80/unit
Range
Mastery loop
  1. 01Study

    Use linked OER and companion sources before attempting checks.

  2. 02Practice

    Move through numbered PeerTutor problems without skipping failed gates.

  3. 03Mirror

    Enter Khan report evidence and let the adaptive plan rank repair units.

  4. 04Handoff

    Bring exact misses, notes, and one sharp question to a tutor.

Practice architecture

The bank is intentionally mixed across facets and difficulty so high scores cannot come from one narrow question style.

Facets
Concept66
Fluency19
Application68
Analysis74
Exam Readiness63
Metacognition110
Difficulty
Foundation155
Developing65
Proficient100
Advanced80

Video companion links

Use these linked courses for video instruction and mastery practice, then return here for PeerTutor original checks and tutor help on the exact unit that got stuck.

External video content is linked or embedded through provider-hosted players, not copied. PeerTutor practice is original and cites each source path separately.

Provider-hosted video

Embedded video companion

Watch the strongest public video path inside PeerTutor, then use the unit checks below to prove the student can actually do the work.

2 embeds
StatQuest

StatQuest statistics and machine learning library

Use for statistics, model evaluation, machine learning, neural network, and AI explainers.

statisticsmachine learningmodel evaluationOpen on YouTube
The Organic Chemistry Tutor

The Organic Chemistry Tutor library

Worked examples across algebra, trigonometry, calculus, chemistry, physics, and test prep.

worked examplesmathscienceOpen on YouTube
Khan progress mirror

Mirror outside mastery into PeerTutor practice

Khan Academy progress has to be entered from the student or tutor report. Khan does not provide a supported public progress API, so this mirror stores unit status locally and uses it to target PeerTutor checks.

0%
Avg
0
Mastered
5
Review
Khan report mirror

Khan Academy does not provide a supported public progress API or external API keys. PeerTutor stores student-provided report evidence and maps it to original practice instead.

Adaptive study plan

Practice Exploring one-variable data and collecting data next

0 repair units and 5 practice units need attention before extension.

Unit 1practiceExploring one-variable data and collecting data

No Khan mirror data yet; this is a normal practice candidate, not a proven weakness.

Complete 12 sequenced checks and advance only after misses are corrected.

Khan 0%80 PeerTutor checks
Unit 2practiceProbability, random variables, and probability distributions

No Khan mirror data yet; this is a normal practice candidate, not a proven weakness.

Complete 12 sequenced checks and advance only after misses are corrected.

Khan 0%80 PeerTutor checks
Unit 3practiceInference for categorical data: proportions

No Khan mirror data yet; this is a normal practice candidate, not a proven weakness.

Complete 12 sequenced checks and advance only after misses are corrected.

Khan 0%80 PeerTutor checks
Unit 4practiceInference for quantitative data: means

No Khan mirror data yet; this is a normal practice candidate, not a proven weakness.

Complete 12 sequenced checks and advance only after misses are corrected.

Khan 0%80 PeerTutor checks
Unit 5practiceRegression analysis and AP synthesis

No Khan mirror data yet; this is a normal practice candidate, not a proven weakness.

Complete 12 sequenced checks and advance only after misses are corrected.

Khan 0%80 PeerTutor checks
Unit 1Exploring one-variable data and collecting dataRepair before advancing

Rebuild the unit: do 12 PeerTutor checks, log every miss, then ask a tutor from the error log.

Khan evidence to mirror: percent/mastery for "Exploring one-variable data and collecting data", missed skill, last activity date, and the next Khan item assigned by the teacher report.

Mapped skills: Represent and compare categorical and quantitative distributions using appropriate summaries. · Design random samples and experiments while identifying bias, confounding, and limits to inference.
Unit 2Probability, random variables, and probability distributionsRepair before advancing

Rebuild the unit: do 12 PeerTutor checks, log every miss, then ask a tutor from the error log.

Khan evidence to mirror: percent/mastery for "Probability, random variables, and probability distributions", missed skill, last activity date, and the next Khan item assigned by the teacher report.

Mapped skills: Use simulation, conditional probability, independence, and unions of events. · Analyze discrete random variables plus binomial and normal distributions.
Unit 3Inference for categorical data: proportionsRepair before advancing

Rebuild the unit: do 12 PeerTutor checks, log every miss, then ask a tutor from the error log.

Khan evidence to mirror: percent/mastery for "Inference for categorical data: proportions", missed skill, last activity date, and the next Khan item assigned by the teacher report.

Mapped skills: Use sampling distributions, confidence intervals, and significance tests for one and two proportions. · Apply chi-square tests for homogeneity and independence when conditions hold.
Unit 4Inference for quantitative data: meansRepair before advancing

Rebuild the unit: do 12 PeerTutor checks, log every miss, then ask a tutor from the error log.

Khan evidence to mirror: percent/mastery for "Inference for quantitative data: means", missed skill, last activity date, and the next Khan item assigned by the teacher report.

Mapped skills: Use t procedures for one mean, paired means, and differences between means. · Interpret confidence, significance, power, and Type I and Type II errors in context.
Unit 5Regression analysis and AP synthesisRepair before advancing

Rebuild the unit: do 12 PeerTutor checks, log every miss, then ask a tutor from the error log.

Khan evidence to mirror: percent/mastery for "Regression analysis and AP synthesis", missed skill, last activity date, and the next Khan item assigned by the teacher report.

Mapped skills: Interpret scatterplots, correlation, least-squares regression, residuals, influential points, and model limits. · Combine statistical investigation skills under calculator-active and written AP conditions.
Loading saved mirror.

Unit sequence

Built for independent progress first, then tutor support where the student gets stuck.

  1. 01

    Exploring one-variable data and collecting data

    • Represent and compare categorical and quantitative distributions using appropriate summaries.
    • Design random samples and experiments while identifying bias, confounding, and limits to inference.

    Practice: Audit a real survey or experiment, redesign its collection plan, and write a complete one-variable data description.

    Unit work plan
    1. 1
      Source study

      Start with AP Statistics and AP/College Statistics. Take notes until you can explain: Represent and compare categorical and quantitative distributions using appropriate summaries.

    2. 2
      Foundation gate

      Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

    3. 3
      Transfer gate

      Produce the assignment artifact, then pass the application and analysis checks tied to: Audit a real survey or experiment, redesign its collection plan, and write a complete one-variable data description.

    4. 4
      Repair loop

      Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

    5. 5
      Tutor handoff

      Bring your attempted work, the exact missed check, and one question about: Design random samples and experiments while identifying bias, confounding, and limits to inference.

    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 31Developing: 13Proficient: 20Advanced: 16

    Start the next sequenced check: #1 Quantitative warmup. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    Concept0/12
    Fluency0/4
    Application0/12
    Analysis0/19
    Exam Readiness0/11
    Metacognition0/22
    #1Quantitative warmupAnalysisfoundationNext

    A Exploring one-variable data and collecting data practice set has 12 questions. If 5 are complete, how many remain?

    #2Mathematical reasoningConceptfoundation

    Which habit best fits a serious math solution?

    #3Unit readinessExam Readinessfoundation

    Which target best matches the AP Statistics unit "Exploring one-variable data and collecting data"?

    #4Practice artifactAnalysisfoundation

    Which practice artifact should you produce for "Exploring one-variable data and collecting data" before asking a tutor for help?

    #5Unit targetAnalysisfoundation

    Which target best proves readiness for "Exploring one-variable data and collecting data"?

    #6Second targetAnalysisfoundation

    Which second target belongs to "Exploring one-variable data and collecting data"?

  2. 02

    Probability, random variables, and probability distributions

    • Use simulation, conditional probability, independence, and unions of events.
    • Analyze discrete random variables plus binomial and normal distributions.

    Practice: Solve a probability model exactly, verify it with a simulation plan, and state the assumptions.

    Unit work plan
    1. 1
      Source study

      Start with AP Statistics and AP/College Statistics. Take notes until you can explain: Use simulation, conditional probability, independence, and unions of events.

    2. 2
      Foundation gate

      Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

    3. 3
      Transfer gate

      Produce the assignment artifact, then pass the application and analysis checks tied to: Solve a probability model exactly, verify it with a simulation plan, and state the assumptions.

    4. 4
      Repair loop

      Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

    5. 5
      Tutor handoff

      Bring your attempted work, the exact missed check, and one question about: Analyze discrete random variables plus binomial and normal distributions.

    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 31Developing: 13Proficient: 20Advanced: 16

    Start the next sequenced check: #1 Quantitative warmup. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    Concept0/12
    Fluency0/4
    Application0/12
    Analysis0/19
    Exam Readiness0/11
    Metacognition0/22
    #1Quantitative warmupAnalysisfoundationNext

    A Probability, random variables, and probability distributions practice set has 13 questions. If 6 are complete, how many remain?

    #2Mathematical reasoningConceptfoundation

    Which habit best fits a serious math solution?

    #3Unit readinessExam Readinessfoundation

    Which target best matches the AP Statistics unit "Probability, random variables, and probability distributions"?

    #4Practice artifactAnalysisfoundation

    Which practice artifact should you produce for "Probability, random variables, and probability distributions" before asking a tutor for help?

    #5Unit targetAnalysisfoundation

    Which target best proves readiness for "Probability, random variables, and probability distributions"?

    #6Second targetAnalysisfoundation

    Which second target belongs to "Probability, random variables, and probability distributions"?

  3. 03

    Inference for categorical data: proportions

    • Use sampling distributions, confidence intervals, and significance tests for one and two proportions.
    • Apply chi-square tests for homogeneity and independence when conditions hold.

    Practice: Write a complete proportion or chi-square inference response with conditions, calculation, conclusion, and error interpretation.

    Unit work plan
    1. 1
      Source study

      Start with AP Statistics and AP/College Statistics. Take notes until you can explain: Use sampling distributions, confidence intervals, and significance tests for one and two proportions.

    2. 2
      Foundation gate

      Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

    3. 3
      Transfer gate

      Produce the assignment artifact, then pass the application and analysis checks tied to: Write a complete proportion or chi-square inference response with conditions, calculation, conclusion, and error interpretation.

    4. 4
      Repair loop

      Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

    5. 5
      Tutor handoff

      Bring your attempted work, the exact missed check, and one question about: Apply chi-square tests for homogeneity and independence when conditions hold.

    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 31Developing: 13Proficient: 20Advanced: 16

    Start the next sequenced check: #1 Quantitative warmup. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    Concept0/15
    Fluency0/4
    Application0/16
    Analysis0/12
    Exam Readiness0/11
    Metacognition0/22
    #1Quantitative warmupApplicationfoundationNext

    A Inference for categorical data: proportions practice set has 14 questions. If 7 are complete, how many remain?

    #2Mathematical reasoningConceptfoundation

    Which habit best fits a serious math solution?

    #3Unit readinessExam Readinessfoundation

    Which target best matches the AP Statistics unit "Inference for categorical data: proportions"?

    #4Practice artifactApplicationfoundation

    Which practice artifact should you produce for "Inference for categorical data: proportions" before asking a tutor for help?

    #5Unit targetConceptfoundation

    Which target best proves readiness for "Inference for categorical data: proportions"?

    #6Second targetConceptfoundation

    Which second target belongs to "Inference for categorical data: proportions"?

  4. 04

    Inference for quantitative data: means

    • Use t procedures for one mean, paired means, and differences between means.
    • Interpret confidence, significance, power, and Type I and Type II errors in context.

    Practice: Choose and carry out a mean-based inference procedure, then defend why the method and conditions fit.

    Unit work plan
    1. 1
      Source study

      Start with AP Statistics and AP/College Statistics. Take notes until you can explain: Use t procedures for one mean, paired means, and differences between means.

    2. 2
      Foundation gate

      Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

    3. 3
      Transfer gate

      Produce the assignment artifact, then pass the application and analysis checks tied to: Choose and carry out a mean-based inference procedure, then defend why the method and conditions fit.

    4. 4
      Repair loop

      Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

    5. 5
      Tutor handoff

      Bring your attempted work, the exact missed check, and one question about: Interpret confidence, significance, power, and Type I and Type II errors in context.

    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 31Developing: 13Proficient: 20Advanced: 16

    Start the next sequenced check: #1 Quantitative warmup. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    Concept0/15
    Fluency0/4
    Application0/16
    Analysis0/12
    Exam Readiness0/11
    Metacognition0/22
    #1Quantitative warmupApplicationfoundationNext

    A Inference for quantitative data: means practice set has 15 questions. If 8 are complete, how many remain?

    #2Mathematical reasoningConceptfoundation

    Which habit best fits a serious math solution?

    #3Unit readinessExam Readinessfoundation

    Which target best matches the AP Statistics unit "Inference for quantitative data: means"?

    #4Practice artifactApplicationfoundation

    Which practice artifact should you produce for "Inference for quantitative data: means" before asking a tutor for help?

    #5Unit targetConceptfoundation

    Which target best proves readiness for "Inference for quantitative data: means"?

    #6Second targetConceptfoundation

    Which second target belongs to "Inference for quantitative data: means"?

  5. 05

    Regression analysis and AP synthesis

    • Interpret scatterplots, correlation, least-squares regression, residuals, influential points, and model limits.
    • Combine statistical investigation skills under calculator-active and written AP conditions.

    Practice: Fit and critique a regression model, then complete a mixed AP-style investigation and correct every scoring gap.

    Unit work plan
    1. 1
      Source study

      Start with AP Statistics and AP/College Statistics. Take notes until you can explain: Interpret scatterplots, correlation, least-squares regression, residuals, influential points, and model limits.

    2. 2
      Foundation gate

      Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

    3. 3
      Transfer gate

      Produce the assignment artifact, then pass the application and analysis checks tied to: Fit and critique a regression model, then complete a mixed AP-style investigation and correct every scoring gap.

    4. 4
      Repair loop

      Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

    5. 5
      Tutor handoff

      Bring your attempted work, the exact missed check, and one question about: Combine statistical investigation skills under calculator-active and written AP conditions.

    Sequenced original practice checks

    Move in order: foundation, transfer, analysis, timed readiness, then metacognitive repair.

    6 shown / 80 checked answers
    Exercise path
    Foundation: 31Developing: 13Proficient: 20Advanced: 16

    Start the next sequenced check: #1 Quantitative warmup. Do not jump ahead until this one is correct.

    Learning analysis
    0/80
    Tried
    0
    Correct
    0%
    Mastery

    Weakest facet: Concept

    Concept0/12
    Fluency0/3
    Application0/12
    Analysis0/12
    Exam Readiness0/19
    Metacognition0/22
    #1Quantitative warmupExam ReadinessfoundationNext

    A Regression analysis and AP synthesis practice set has 16 questions. If 9 are complete, how many remain?

    #2Mathematical reasoningConceptfoundation

    Which habit best fits a serious math solution?

    #3Unit readinessExam Readinessfoundation

    Which target best matches the AP Statistics unit "Regression analysis and AP synthesis"?

    #4Practice artifactExam Readinessfoundation

    Which practice artifact should you produce for "Regression analysis and AP synthesis" before asking a tutor for help?

    #5Unit targetExam Readinessfoundation

    Which target best proves readiness for "Regression analysis and AP synthesis"?

    #6Second targetExam Readinessfoundation

    Which second target belongs to "Regression analysis and AP synthesis"?

Source library

These are source links, not scraped course copies. Licenses differ, so the label tells students how each source is used.

View the full citation index
AP Statistics curriculum · PeerTutor