100% Free • No Registration Required
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
- Lesson 10%Reason with ratios and proportionsKeep 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
- Lesson 20%Use rates and unit ratesKeep rate units in order, find per-one-unit comparisons, and use or compare rates in real-world SAT questions.37 min · 3 practice problems
- Lesson 90%Find and interpret centerCalculate, compare, select, and interpret mean and median from given lists, frequency tables, and box plots.26 min · 3 practice problems
- Lesson 140%Interpret scatterplotsRead direction, strength, form, clusters, and outliers in scatterplots, then interpret individual points and overall associations.27 min · 3 practice problems
- Lesson 170%Calculate probability and relative frequencyChoose the favorable outcomes and the full sample, then calculate probability, relative frequency, complements, and occasional unknown counts.26 min · 3 practice problems
- Lesson 200%Estimate populations and margin of errorUse a sample mean or proportion and a given margin of error to identify plausible population values and compare precision.28 min · 3 practice problems
- Lesson 210%Decide when a sample supports generalizationUse random sampling, representativeness, and the sampled population to decide who a survey result can describe.25 min · 3 practice problems
- Lesson 220%Decide when a study supports causationUse random assignment, comparison groups, and observational-study limits to decide whether a cause-and-effect conclusion is justified.26 min · 3 practice problems
Intermediate
- Lesson 30%Convert units with dimensional analysisOrient conversion factors so unwanted units cancel, then convert one-step, multistep, derived, squared, and cubed units.40 min · 5 practice problems
- Lesson 40%Solve percent part-whole problemsIdentify the part, percent, and reference whole, then find any missing quantity with one clear percent relationship.28 min · 3 practice problems
- Lesson 50%Model percent increase and decreaseCompare 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
- Lesson 80%Read distributions and data displaysRead 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
- Lesson 100%Recover totals and weighted meansRecover totals from means, calculate weighted means from frequencies or subgroup summaries, and solve for missing values or group sizes.28 min · 3 practice problems
- Lesson 110%Reason with range and standard deviationCalculate and constrain range, compare and interpret standard deviation, and predict how uniform shifts and scales change spread.27 min · 3 practice problems
- Lesson 120%Analyze changed data and outliersDecide how adding, removing, correcting, or replacing selected observations changes the mean, median, range, and standard deviation.27 min · 3 practice problems
- Lesson 150%Fit and interpret data modelsFit and interpret linear, quadratic, and exponential models for paired data, including parameters, predictions, residuals, and comparative fit.35 min · 4 practice problems
- Lesson 180%Use two-way tables and conditional probabilitySpot 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
- Lesson 60%Reverse and combine percent changesRecover an unknown original, combine successive percent changes with multipliers, and interpret the overall factor or net percent change.28 min · 3 practice problems
- Lesson 70%Use category percent-share ledgersTrack 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
- Lesson 130%Optimize ordered data under constraintsBuild 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
- Lesson 160%Rewrite fitted linear models after variable changesRewrite 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
- Lesson 190%Conditional probability without replacementRebuild 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