[Hourly Lessons] AP Statistics｜1-on-1 Tutoring with Tim

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If you’re looking for clear, personalized help in math or physics, this is a live 1-on-1 lesson with me, Tim Chen. I work with students from a wide range of programs. Whether you’re preparing for big exams, tackling tough topics, or aiming for top scores and universities.

  

Lessons are always tailored to your pace, your goals, and your learning style. I’ll help you build a solid understanding, improve problem-solving, and feel more confident step by step.

  

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Course Contents

Unit 1: Exploring One-Variable Data (15–23%)

Focuses on describing and summarizing single-variable data.

• What can we learn from data?

• Variables and types

• Representing categorical variables (tables, graphs)

• Representing quantitative variables (graphs, distributions)

• Describing distributions of quantitative variables

• Summary statistics (mean, median, variability, etc.)

• Graphical representations of summaries

• Comparing distributions

• The Normal distribution

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Unit 2: Exploring Two-Variable Data (5–7%)

Analyzes relationships between two variables.

• Are variables related?

• Representing two categorical variables

• Statistics for two categorical variables

• Representing relationships between two quantitative variables

• Correlation

• Linear regression models

• Residuals

• Least-squares regression

• Departures from linearity

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Unit 3: Collecting Data (12–15%)

Covers data collection methods and experimental design.

• Do the data tell the truth?

• Planning a study

• Random sampling and data collection

• Problems with sampling

• Experimental design basics

• Selecting an experimental design

• Inference and experiments

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Unit 4: Probability, Random Variables, and Probability Distributions (10–20%)

Introduces probability models and random variables.

• Random vs non-random patterns

• Estimating probabilities (simulation)

• Intro to probability

• Mutually exclusive events

• Conditional probability

• Independent events and unions

• Random variables and probability distributions

• Mean & standard deviation of random variables

• Combining random variables

• Binomial distribution (definition, parameters)

• Geometric distribution

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Unit 5: Sampling Distributions (7–12%)

Develops sampling distributions and their use in inference.

• Why is my sample not like yours?

• Normal distribution (revisited)

• Central Limit Theorem

• Biased and unbiased point estimates

• Sampling distributions for sample proportions

• Sampling distributions for differences in proportions

• Sampling distributions for sample means

• Sampling distributions for differences in means

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Unit 6: Inference for Categorical Data – Proportions (12–15%)

Introduces inference procedures for proportions.

• Why be normal?

• Confidence intervals for a population proportion

• Claims using confidence intervals

• Significance tests for proportions

• Interpreting $p$-values

• Completing tests for proportions

• Errors in significance testing

• Confidence intervals for two proportions

• Claims for differences in proportions

• Significance tests for two proportions

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Unit 7: Inference for Quantitative Data – Means (10–18%)

Focuses on inference procedures for means.

• Should I worry about error?

• Confidence intervals for a mean

• Claims for means using intervals

• Significance tests for means

• Carrying out tests for means

• Confidence intervals for difference of two means

• Claims for differences in means

• Significance tests for two means

• Skills focus: selecting & communicating inference procedures

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Unit 8: Inference for Categorical Data – Chi-Square (2–5%)

Uses chi-square procedures to test categorical associations.

• Are my results unexpected?

• Chi-square goodness of fit test

• Chi-square test for goodness of fit (execution)

• Expected counts in two-way tables

• Chi-square test for homogeneity/independence (setup & execution)

• Selecting appropriate inference procedures for categorical data

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Unit 9: Inference for Quantitative Data – Slopes (2–5%)

Applies inference procedures to regression slopes.

• Do those points align?

• Confidence intervals for regression slopes

• Claims about regression slopes with intervals

• Significance tests for regression slopes (setup & execution)

• Selecting inference procedures for slope tests

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Subjects I Teach

• Standardized Tests
  • SAT math
  • ACT math

• AP Courses
  • AP Calculus AB / BC
  • AP Physics 1 / 2 / CM / CEM
  • AP Statistics
  • AP Precalculus

•  IBDP
  • IB Mathematics AA / AI
  • IB Physics
  • IB Internal Assessment (IA) Guidance

•  A-Level Subjects
  • A-Level Mathematics
  • A-Level Physics

• Other Subjects
  • Algebra 1 / 2
  • Geometry
  • Precalculus
  • Physics
  • Functions / Advanced Functions
  • Integrated Math (IM1 – IM4)

 

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About Me

I’ve worked with students from all over the world, helping them get through challenging material, prepare for competitive exams, and feel more confident in math and physics. I focus on clear explanations, strong fundamentals, and real progress.

 

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Lesson Format

• Live 1-on-1 via Zoom
• Flexible scheduling
• Lessons in English or Mandarin
• Optional whiteboard, handouts, or recordings based on your preference

If you’re serious about improving or want to feel more in control of your learning, let’s work together. Book a trial or message me with any questions.