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ap statistics - sampling distributions for proportions

originally streamed in 2019 with Jerry KosoffTeacher
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Learn how sampling distributions for proportions work in AP Statistics Unit 5. This video covers the Central Limit Theorem for proportions, standard error calculations, and condition checking for inference. Great for exam prep or reviewing this key t ...more

covered in this stream

units
Unit 5 – Sampling Distributions
topics
5.5 Sampling Distributions for Sample Proportions5.3 The Central Limit Theorem5.2 The Normal Distribution, Revisited5.4 Biased and Unbiased Point Estimates

timestamps

  • 0:00

    Introduction and Overview

  • 0:36

    Basic Definitions and Plan

  • 1:07

    Conditions for Normality

  • 1:37

    Course Progress Check

  • 2:14

    Inference Big Picture

  • 2:45

    Symbols for Proportions and Means

  • 3:15

    Population vs Sample

  • 4:17

    Building Sampling Distributions

  • 4:47

    Candy Machine Simulation

  • 8:24

    Summary Statistics Example

  • 9:27

    Sampling Distribution vs Model

  • 11:01

    Simulation Results Analysis

  • 12:39

    Sampling Distribution Definition

  • 14:11

    Describing Shape Center Spread

  • 15:44

    Formulas for Mean and SD

  • 16:15

    Normality Conditions

  • 18:19

    Successes and Failures Check

  • 20:55

    Formula Calculations

  • 21:25

    Varying Sample Size Effects

  • 24:05

    Larger Sample Consistency

  • 26:07

    Changing Population Proportion

  • 28:10

    Condition Violation Example

  • 30:45

    Increasing Sample Size Fix

  • 33:51

    Understanding Feedback

  • 34:51

    Application Scenarios

  • 35:22

    Survey Example Problem

  • 38:21

    Mean and SD Calculations

  • 41:27

    Probability Calculation

  • 45:26

    Z-Score and Table Use

  • 46:31

    Hypothesis Test Connection

  • 49:06

    Preview of Means Distributions

  • 50:09

    Session Wrap-Up and Q&A

  • 51:11

    Sample vs Sampling Clarification

  • 53:16

    Skew in Distributions

  • 55:20

    Sample Size Impact on Skew

  • 56:23

    Final Thoughts and Goodbye

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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
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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.