Ratios, Percents, Data Analysis and Probability
Problem-solving and data questions test ratios, rates, units, percentages, tables, scatterplots, statistics, probability, and model interpretation.
How to study for the SAT
Build every answer around passage evidence, standard English, rhetorical purpose, equation setup, units, graph labels, and reasonableness checks.
Core concepts
Concept 1
Ratios, Percents, Data Analysis and Probability questions reward answers that stay inside the passage, data, prompt, or algebraic setup.
Exam cue: Name the skill being tested before reading the choices.
Concept 2
The strongest answer matches the exact task and avoids adding outside assumptions.
Exam cue: Anchor the answer in evidence, context, units, or the requested quantity.
Concept 3
Eliminate choices that are true in general but unsupported by the item.
Exam cue: Check that the answer fits the whole item, not just one familiar phrase.
Risk pitfalls and guardrails
Choosing a plausible answer that is not supported by the given information.
Guardrail: Avoid answers that add outside knowledge, overstate, change sentence meaning, mix units, ignore graph labels, or skip the exact task.
Answering a nearby skill instead of the exact question asked.
Guardrail: Avoid answers that add outside knowledge, overstate, change sentence meaning, mix units, ignore graph labels, or skip the exact task.
Overlooking a qualifier, unit, transition, or graph label.
Guardrail: Avoid answers that add outside knowledge, overstate, change sentence meaning, mix units, ignore graph labels, or skip the exact task.
Memory anchors
Ratio
A ratio compares quantities by division.
Rate
A rate compares quantities with different units.
Percent Change
Percent change is change divided by original amount, expressed per hundred.
Unit Conversion
Units must be consistent before calculating or comparing values.
Mean
Mean is the arithmetic average.
Median
Median is the middle value when data are ordered.
Probability
Probability is favorable outcomes divided by total possible outcomes when outcomes are equally likely.
Scatterplot
A scatterplot displays paired quantitative data.
Line Of Best Fit
A line of best fit models the overall trend in a scatterplot.
Margin Meaning
A table margin total combines row or column values.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
A recipe uses flour and water in a ratio of 5:2. If 750 grams of flour are used, how many grams of water are needed?
A jacket's price increased from $80 to $92. What was the percent increase?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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