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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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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