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ap statistics - normal calculations & z-scores

originally streamed in 2019 with Shane DurkanTeacher
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Learn how to calculate probabilities using normal distributions and z-scores for AP Statistics. This video covers the empirical rule, standardization, z-tables, and real-world applications to help you prepare for Unit 2 exam questions. You'll work t ...more

covered in this stream

units
Unit 1 – Exploring One–Variable DataUnit 5 – Sampling Distributions
topics
1.10 The Normal DistributionNormal Curve and Normal CalculationsPresentation Slides, Normal Distributions5.2 The Normal Distribution, Revisited

timestamps

  • 0:00

    Introduction and Agenda

  • 0:30

    Empirical Rule Overview

  • 1:06

    Normal Distribution Basics

  • 2:06

    Notation and Specification

  • 3:08

    Uses of Normal Distributions

  • 4:40

    Empirical Rule Explanation

  • 6:15

    Empirical Rule Visualization

  • 6:48

    CTBS Scores Example

  • 7:51

    Empirical Rule Application

  • 9:27

    Proportion Between Scores

  • 10:32

    Why Standardize Data

  • 12:03

    Standard Normal Distribution

  • 12:39

    Standardizing Variables

  • 14:12

    Standard Normal Table

  • 15:47

    Using Z-Score Table

  • 18:26

    Z-Score to P-Value

  • 21:39

    Nadal Serves Example

  • 23:42

    Tiger Woods Drives Example

  • 26:25

    Calculator Tricks

  • 27:27

    NormalCDF Function

  • 28:32

    Inverse Norm Usage

  • 31:40

    Assessing Normality

  • 32:49

    Normal Probability Plots

  • 34:29

    Session Wrap-Up

  • 35:34

    Designing Studies Discussion

  • 37:11

    Blocking in Experiments

  • 38:25

    Blocking Explanation

  • 39:58

    Blocking Example

  • 42:33

    Matched Pairs Design

  • 44:10

    Closing Remarks

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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 Exam AccommodationsAP 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

career kickstart

💼 ap business with personal finance🔒 ap cybersecurity

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
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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.