SAT Math · 15% of section

Problem-Solving & Data AnalysisSAT Math Prep

Master Problem-Solving & Data Analysis with 265+ adaptive practice questions. This domain makes up 15% of the SAT Math section (5–7 questions on test day).

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Skills Covered

Ratios, Rates & UnitsSetting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.PercentagesPercent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.Data Distributions & Measures of CenterMean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.Scatterplots & Two-Variable DataReading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.ProbabilityOne-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.Inference & Margin of ErrorWhat sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.Evaluating Statistical ClaimsJudging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.

At a Glance

265+

Questions

15%

of Math

5–7

Qs on test day

Difficulty levels

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Study Strategies for Problem-Solving & Data Analysis

Read every chart label before answering

Problem-Solving and Data Analysis questions always include a table, chart, or graph. Before looking at the question, spend five seconds reading the title, axis labels, and units. Many errors come from misreading what the data represents—for example, confusing “percentage” with “count” or reading the wrong axis. This small habit prevents careless mistakes.

Master ratios, proportions, and percentages

These three concepts appear in nearly every Problem-Solving question set. Make sure you can convert fluently between fractions, decimals, and percentages. Practice setting up proportions from word problems and solving them. Know the percent change formula (new − old) / old × 100. Speed on these fundamentals frees time for harder questions.

Understand statistical concepts, not just formulas

The SAT tests whether you understand what mean, median, range, and standard deviation represent conceptually. For example, you should know that adding an outlier increases the mean more than the median, and that standard deviation measures spread, not center. These conceptual questions cannot be solved with a calculator—they require genuine understanding.

Practice probability in context

Probability questions on the SAT use two-way tables and real-world scenarios. Practice reading two-way tables quickly: identify the row, column, and total you need, then form the fraction. Conditional probability (“given that”) means you restrict your denominator to a specific subgroup. Getting comfortable with this language is half the battle.

Common Mistakes to Avoid

Confusing ratio with actual quantity

A ratio of 3:5 does not mean there are 3 and 5 items—it means the quantities are in that proportion. Multiply by the appropriate scale factor to find actual values.

Using the wrong denominator for probability

In conditional probability questions, the denominator must match the given condition. For example, “given that a student plays a sport” means your denominator is only the sport-playing students, not all students.

Misunderstanding margin of error

A margin of error describes the range around a sample statistic, not the range of individual values. A poll result of 55% ± 3% means the true population proportion is likely between 52% and 58%.

Frequently Asked Questions

What kind of data displays appear on the Digital SAT?+

The Digital SAT uses tables, bar graphs, line graphs, histograms, dot plots, scatterplots, and two-way frequency tables. You do not need to create these displays—you need to read and interpret them. The most common tasks are identifying trends, calculating statistics (mean, median), finding probabilities from two-way tables, and evaluating whether data supports a given claim.

Do I need to know standard deviation formulas?+

No. The Digital SAT does not require you to calculate standard deviation by hand. However, you must understand what standard deviation represents conceptually: it measures how spread out the data values are from the mean. You should be able to compare the standard deviations of two data sets by looking at their distributions and determine how adding or removing a value affects the spread.

How are percentages tested on the Digital SAT?+

Percentage questions appear in many forms: percent increase/decrease, percent of a total, and multi-step percentage problems (such as successive discounts). The most commonly tested formula is percent change = (new − old) / old × 100. Watch out for questions that apply multiple percentage changes sequentially—you cannot simply add the percentages. Each change must be applied to the new value.

Explore Other SAT Domains

Information and Ideas26%Craft and Structure28%Expression of Ideas20%Standard English Conventions26%Algebra35%Advanced Math35%Geometry and Trigonometry15%

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Problem-Solving & Data AnalysisQuestion 1 of 1,804

A student answered 36 out of 45 questions correctly on a test. What percentage of questions did the student answer correctly?

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