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ap statistics - normal distributions

originally streamed in 2020 with Josh ArgoTeacher
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Learn how to work with normal distributions in AP Statistics, from the empirical rule to z-scores and sampling distributions. This review session covers key concepts you need for the AP exam, including probability calculations, the central limit theo ...more

curriculum note

This video was recorded for the 2020 AP Statistics exam, which had a modified format due to COVID-19 (no calculator required, open notes). The current AP Statistics exam has returned to its standard format with an approved graphing calculator.

covered in this stream

units
Unit 1 – Exploring One–Variable DataUnit 5 – Sampling Distributions
topics
Normal Curve and Normal Calculations1.10 The Normal DistributionDescribing Location in a DistributionPresentation Slides, Normal Distributions5.2 The Normal Distribution, Revisited5.3 The Central Limit Theorem5.5 Sampling Distributions for Sample Proportions5.7 Sampling Distributions for Sample Means

timestamps

  • 0:00

    Introduction to Normal Distributions

  • 0:39

    Importance in AP Statistics

  • 1:09

    Fiveable Streams Overview

  • 2:13

    Upcoming Statistics Sessions

  • 3:50

    Social Media and Notifications

  • 4:20

    Agenda for the Session

  • 4:50

    Describing Normal Distribution

  • 6:26

    Real-World Examples

  • 7:00

    Empirical Rule Explanation

  • 9:34

    IQ Scores Example

  • 11:08

    Standard Normal Curve

  • 12:10

    Z-Scores Introduction

  • 14:50

    Z-Score Formula

  • 15:52

    Grades Comparison Example

  • 19:34

    Calculating Probabilities

  • 20:35

    Lego Weight Example

  • 24:03

    Using Z-Table

  • 26:43

    Normal CDF on Calculator

  • 30:52

    Sampling Distributions Overview

  • 32:24

    Conditions for Proportions

  • 32:57

    Central Limit Theorem

  • 34:32

    Sampling Distribution Formulas

  • 37:41

    Lego Sampling Example

  • 43:33

    Proportions Voting Example

  • 47:13

    Normal Curve in Inference

  • 48:46

    Balloons House Example

  • 50:20

    Normal Condition Importance

  • 51:24

    Random Sampling Issues

  • 54:03

    Interpreting P-Value

  • 56:07

    Session Wrap-Up and Questions

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© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

every AP exam is fiveable

Fiveable

Study Content & Tools

Study GuidesFRQs + AI ScoringAP Essay Grader for StudentsAI Grading for TeachersPractice QuestionsGlossaryScore Calculators

Company

What's New?PricingBulk DiscountsTestimonialsFAQsEmail us

Resources

AP Exam Schedule 2027AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

history

🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history

social science

✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government

english & capstone

✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar

arts

🎨 ap art & design🖼️ ap art history🎵 ap music theory

science

🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics

math & computer science

🧮 ap calculus ab♾️ ap calculus bc📐 ap precalculus📊 ap statistics💻 ap computer science a⌨️ ap computer science p

world languages

🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams

✏️ PSAT🎓 Digital SAT🎒 ACT

honors classes

🍬 honors algebra II🫀 honors anatomy🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics📐 honors geometry⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history

college classes

👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science

hs classes

🏛️ alabama history⛰️ appalachian studies🌴 california history🌍 earth science🌐 ethnic studies🐊 florida history🍑 georgia history🌎 global studies🌺 hawaiian studies📰 journalism🪶 native american studies🌵 new mexico history🤠 oklahoma history⚗️ physical science🎙️ speech and debate🤝 texas government🤠 texas history🌲 washington state history🕊️ world religions
RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.