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AP®︎/College Statistics

Unit 1: exploring categorical data, unit 2: exploring one-variable quantitative data: displaying and describing, unit 3: exploring one-variable quantitative data: summary statistics, unit 4: exploring one-variable quantitative data: percentiles, z-scores, and the normal distribution, unit 5: exploring two-variable quantitative data, unit 6: collecting data, unit 7: probability, unit 8: random variables and probability distributions, unit 9: sampling distributions, unit 10: inference for categorical data: proportions, unit 11: inference for quantitative data: means, unit 12: inference for categorical data: chi-square, unit 13: inference for quantitative data: slopes, unit 14: prepare for the 2022 ap®︎ statistics exam.

  • AP Statistics Summer Assignment (Introduction to Chapter 1)
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  • Honors Algebra I Assignment Sheets
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  • Honors Algebra 1 Summer Assignment

AP Chapter 7 (TPS4e)

AP Stats Chapter 7 – Glossary of Important Definitions

Notes (PowerPoint Presentation)

  • AP Stats 7.1 Sampling Distribution
  • AP Stats 7.2 Sampling Proportions
  • AP Stats 7.3 Sampling Means

In-Class  Activities

  • AP Stats 7.2 Sampling Proportion Activity (2020 KEY)
  • AP Stats 7.3  Sampling Means Activity (2020 KEY)
  • AP Stats Wrapup Ch6, 7.1 and 7.2 Assignments (2023-24)
  • AP Stats Wrapup Ch7 and 8.0 Assignments (2024)
  • AP Stats HW 7.1 to 7.3 answers (TPS4e)

Chapter Review :     

  • AP Stats Self Directed Chapter 7 Review
  • AP Stats Chapter  7  Practice Test (TPS4e) 
  • AP Stats Chapter 7 Review HW answers (TPS4e)

More Review Problems AP Stats Chapter 7 Supplement   (POD Study Guide)

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📊 AP Statistics

📌 exam date: may 7, 2024.

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AP Stats Unit 7 Study Guides

Unit 7 – means.

Unit 7 Overview: Means

Jed Quiaoit

written by Jed Quiaoit

Introducing Statistics: Should I Worry About Error?

Constructing a Confidence Interval for a Population Mean

Justifying a Claim About a Population Mean Based on a Confidence Interval

Setting Up a Test for a Population Mean

Carrying Out a Test for a Population Mean

Confidence Intervals for the Difference of Two Means

Justifying a Claim About the Difference of Two Means Based on a Confidence Interval

Setting Up a Test for the Difference of Two Population Means

Carrying Out a Test for the Difference of Two Population Means

Skills Focus: Selecting, Implementing, and Communicating Inference Procedures

Additional Resources

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Download AP Statistics Cheat Sheet PDF Cram Chart

AP Statistics Cheat Sheet PDF & Formula Review Chart

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2024 AP Statistics Exam Guide

16 min read

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Frequently Asked Questions

How Do I Self-Study AP Statistics?

Harrison Burnside

written by Harrison Burnside

What Are the Best Quizlet Decks for AP Statistics?

11 min read

What Are the Best AP Statistics Textbooks and Prep Books?

Is AP Statistics Hard? Is AP Statistics Worth Taking?

How Can I Get a 5 in AP Statistics?

What is bias?

Exam Skills

Score Higher on AP Statistics 2024: MCQ Tips from Students

Score Higher on AP Statistics 2024: FRQ Tips from Students

AP Statistics Free Response Questions

John Le

written by John Le

AP Statistics Free Response Help - FRQ

AP Stats Mixed Units Practice FRQ #4 & Feedback

Jerry Kosoff

written by Jerry Kosoff

AP Stats Unit 7 FRQ Practice Prompt (#1) Answers & Feedback

12 min read

AP Cram Sessions 2021

AP Statistics Cram Unit 1: Exploring One Variable Data

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slides by Josh Argo

🌶️ AP Stats Cram Review: Unit 1: Exploring One Variable Data

streamed by Josh Argo

AP Statistics Cram Unit 2: Exploring Two Variable Data

🌶️ AP Stats Cram Review: Unit 2: Exploring Two Variable Data

AP Statistics Cram Unit 3: Collecting Data

🌶️ AP Stats Cram Review: Unit 3: Collecting Data

Live Cram Sessions 2020

Unit 1 - Exploring One-Variable Data Slides

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Unit 1 - Exploring One-Variable Data

streamed by Jerry Kosoff

Unit 2 Cram Slides (AP Stats)

Unit 2 - Exploring Two-Variable Data

Unit 3 Cram Slides

Unit 3 - Collecting Data

Previous Exam Prep

Analyzing Categorical Data - Slides

Shane Durkan

slides by Shane Durkan

Analyzing Categorical Data

streamed by Shane Durkan

Sampling Methods and Sources of Bias - Slides

Sampling Methods and Sources of Bias

Displaying Quantitative Data with Graphs

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Chapter Review

7.1 the central limit theorem for sample means (averages).

In a population whose distribution may be known or unknown, if the size ( n ) of the sample is sufficiently large, the distribution of the sample means will be approximately normal. The mean of the sample means will equal the population mean. The standard deviation of the distribution of the sample means, called the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size ( n ).

7.2 The Central Limit Theorem for Sums (Optional)

The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution, even if the original population is not normally distributed. Additionally, if the original population has a mean of μ X and a standard deviation of σ x , the mean of the sums is nμ x and the standard deviation is ( n ) ( n ) ( σ x ), where n is the sample size.

7.3 Using the Central Limit Theorem

The central limit theorem can be used to illustrate the law of large numbers. The law of large numbers states that the larger the sample size you take from a population, the closer the sample mean, x ¯ x ¯ , gets to μ .

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Helping math teachers bring statistics to life

Stats Medic.png

What is a Sampling Distribution? Day 2

Chapter 7 - day 2 - lesson 7.1, all chapters, learning targets.

Use the sampling distribution of a statistic to evaluate a claim about a parameter.

Determine if a statistic is an unbiased estimator of a population parameter.

Describe the relationship between sample size and the variability of a statistic.

Activity: What was the average for the Chapter 6 test?

jpg.jpg

Answer Key:

Just like the lesson  from yesterday , students will be trying to estimate the mean Chapter 6 test score using a sample mean (statistic). Today we are looking at the much more realistic population of all AP Stats students (85 this year at East Kentwood High School!) You will need to have your Chapter 6 Test scores (no names!) available to give to students for this Activity.

"What does this dot represent?"

In the Activity, students create a dotplot on a posterboard at the front of the room. Once completed, point at one of the dots and ask students “What does this dot represent?”. The ideal response is “a sample of 5 test scores and an average calculated from that sample”. Then point to another dot and ask again “What does this dot represent?”. Students should respond with “A different sample of 5 test scores and an average calculated from that sample”. In the end, they recognize that a sampling distribution represents many, many samples of 5 test scores and an average calculated for each.

Bring it back to Beyonce

Remind students on this Activity from Chapter 4. We were trying to estimate the average word length from Crazy in Love by Beyonce, so that we could evaluate the claim that she did not write the lyrics. The first sampling method had students quickly circle five words and find the mean. It is likely that most of your students overestimated the true mean word length. Put another way, the mean of the sampling distribution was much greater than the true mean of the population. This is exactly the definition of a biased statistic. 

ap stats chapter 7 homework answers

We then tried a second approach (using an SRS) which did produce an unbiased statistic (hopefully just like your students estimates of the Chapter 6 test average from the activity today).

ap stats chapter 7 homework answers

ap stats chapter 7 homework answers

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ap stats chapter 7 homework answers

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    Χ = amount of change students carry; Χ ~ Exp(1/0.88) or approximately Χ ~ Exp(1.1364); X ¯ X ¯ = average amount of change carried by a sample of 25 students.; X ¯ X ¯ ~ N(0.88, 0.176); 0.0819; 0.4276; The probability in part (e) represents the probability of an individual value. In part (f), the probability describes the mean of a sample of 25.

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  8. AP Statistics Chapter 7.1 Flashcards

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    7.1 The Central Limit Theorem for Sample Means (Averages) In a population whose distribution may be known or unknown, if the size ( n) of the sample is sufficiently large, the distribution of the sample means will be approximately normal. The mean of the sample means will equal the population mean. The standard deviation of the distribution of ...

  15. AP Statistics: 7.1 Sampling Distributions Flashcards

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  23. Chapter 7 AP Stats Flashcards

    a statistic used to estimate a parameter in an unbiased estimator if the mean of its sampling distribution is equal to the value of the parameter being estimated. variability of a statistic. described by the spread of its sampling distribution. This spread is determined mainly by the size of the random sample. Larger samples give smaller spreads.