AP Statistics

7個單元 · 39個課題

免費的AP Statistics學習筆記，專為AP (Advanced Placement)學生準備。下列每個章節都涵蓋一個重點主題，附有例題與練習提示，可在 thinka 應用程式中延伸練習。

Unit 1: Exploring One-Variable Data and Collecting Data

  • Statistical questions and variables

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  • One categorical variable: tables and graphs

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  • Graphical representations for one quantitative variable

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  • Describing distributions of one quantitative variable

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  • Summary statistics and relative position

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  • Comparing distributions across groups

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  • Random sampling and problems with sampling

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  • Experimental design

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Course Content

  • Unit 9: Inference for Quantitative Data: Slopes

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Unit 2: Probability, Random Variables, and Probability Distributions

  • Two categorical variables: tables and summary statistics

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  • Simulation and introduction to probability

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  • Mutually exclusive events, unions, and independence

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  • Conditional probability

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  • Random variables and their parameters

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  • The binomial distribution

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  • The normal distribution

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  • Sampling distributions and the Central Limit Theorem

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Unit 3: Inference for Categorical Data: Proportions

  • Estimators and sampling distributions for sample proportions

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  • Confidence intervals for a population proportion

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  • Significance tests for a population proportion

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  • p-values, Type I and Type II errors

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  • Confidence intervals for a difference between two proportions

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  • Tests for a difference between two proportions

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  • Chi-square tests for homogeneity or independence

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Unit 4: Inference for Quantitative Data: Means

  • Sampling distributions for sample means

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  • Confidence intervals for a mean or mean difference

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  • Tests for a mean or mean difference

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  • Sampling distributions for a difference between two means

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  • Confidence intervals for a difference between two means

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  • Tests for a difference between two means

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Unit 5: Regression Analysis

  • Scatterplots and describing association

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  • Correlation

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  • Linear regression models and prediction

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  • Residuals and residual plots

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  • Least-squares regression and r-squared

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Statistical Practices and Exam Skills

  • Formulating an investigative question

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  • Identifying and justifying data collection methods

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  • Choosing an inference method and verifying conditions

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  • Interpreting results and justifying claims in context

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