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Master SAT Data Analysis

Solve ratio, rate, percent, statistics, probability, sampling, and experimental-design questions with clear setup and interpretation.

  • 22 interactive lessons
  • Step-by-step worked examples
  • SAT-style practice questions

Beginner

  1. Lesson 10%
    Reason with ratios and proportions

    Keep ratio order straight, connect part-to-part and part-to-whole comparisons, and use equivalent ratios to solve scale relationships.

    27 min · 3 practice problems

  2. Lesson 20%
    Use rates and unit rates

    Keep rate units in order, find per-one-unit comparisons, and use or compare rates in real-world SAT questions.

    37 min · 3 practice problems

  3. Lesson 90%
    Find and interpret center

    Calculate, compare, select, and interpret mean and median from given lists, frequency tables, and box plots.

    26 min · 3 practice problems

  4. Lesson 140%
    Interpret scatterplots

    Read direction, strength, form, clusters, and outliers in scatterplots, then interpret individual points and overall associations.

    27 min · 3 practice problems

  5. Lesson 170%
    Calculate probability and relative frequency

    Choose the favorable outcomes and the full sample, then calculate probability, relative frequency, complements, and occasional unknown counts.

    26 min · 3 practice problems

  6. Lesson 190%
    Estimate populations and margin of error

    Use a sample mean or proportion and a given margin of error to identify plausible population values and compare precision.

    28 min · 3 practice problems

  7. Lesson 200%
    Decide when a sample supports generalization

    Use random sampling, representativeness, and the sampled population to decide who a survey result can describe.

    25 min · 3 practice problems

  8. Lesson 210%
    Decide when a study supports causation

    Use random assignment, comparison groups, and observational-study limits to decide whether a cause-and-effect conclusion is justified.

    26 min · 3 practice problems

Intermediate

  1. Lesson 30%
    Convert units with dimensional analysis

    Orient conversion factors so unwanted units cancel, then convert one-step, multistep, derived, squared, and cubed units.

    40 min · 5 practice problems

  2. Lesson 40%
    Solve percent part-whole problems

    Identify the part, percent, and reference whole, then find any missing quantity with one clear percent relationship.

    28 min · 3 practice problems

  3. Lesson 50%
    Model percent increase and decrease

    Compare a new value with its original, use one-step percent multipliers, and interpret factors, including values below 1 and above 2.

    25 min · 3 practice problems

  4. Lesson 80%
    Read distributions and data displays

    Read and compare frequency tables, dot plots, histograms, and box plots, then tell which details of the data each display keeps.

    28 min · 3 practice problems

  5. Lesson 100%
    Recover totals and weighted means

    Recover totals from means, calculate weighted means from frequencies or subgroup summaries, and solve for missing values or group sizes.

    28 min · 3 practice problems

  6. Lesson 110%
    Reason with range and standard deviation

    Calculate and constrain range, compare and interpret standard deviation, and predict how uniform shifts and scales change spread.

    27 min · 3 practice problems

  7. Lesson 120%
    Analyze changed data and outliers

    Decide how adding, removing, correcting, or replacing selected observations changes the mean, median, range, and standard deviation.

    27 min · 3 practice problems

  8. Lesson 150%
    Fit and interpret data models

    Fit and interpret linear, quadratic, and exponential models for paired data, including parameters, predictions, residuals, and comparative fit.

    35 min · 4 practice problems

  9. Lesson 180%
    Use two-way tables and conditional probability

    Spot the condition in the question, choose the matching subgroup total, and calculate conditional probability from tables, frequencies, area models, and contexts.

    27 min · 4 practice problems

Advanced

  1. Lesson 60%
    Reverse and combine percent changes

    Recover an unknown original, combine successive percent changes with multipliers, and interpret the overall factor or net percent change.

    28 min · 3 practice problems

  2. Lesson 70%
    Use category percent-share ledgers

    Track how category shares and category-specific percent changes combine into an overall change, then reverse the ledger or carry it across years.

    30 min · 5 practice problems

  3. Lesson 130%
    Optimize ordered data under constraints

    Build an ordered integer data set that makes the mean, median, range, or subset mean a question asks about as large or small as possible.

    29 min · 3 practice problems

  4. Lesson 160%
    Rewrite fitted linear models after variable changes

    Rewrite a given fitted linear model after you rescale the input or output, shift the origin, or combine a rescale and a shift in one new variable.

    28 min · 4 practice problems

  5. Lesson 190%
    Conditional probability without replacement

    Rebuild a changing sample space, count eligible pairs or small groups, and solve conditional probability when selections are made without replacement.

    26 min · 4 practice problems