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SAT Math · ~15% of Math (5–7 questions)

SAT Problem-Solving & Data Analysis

Ratios, rates, percentages, and statistical inference.

Quick Definition & Overview

Problem-Solving and Data Analysis accounts for ~15% of the Math section (5 to 7 questions), testing proportional reasoning, unit conversions, percentages, and statistical concepts like mean, median, and margin of error.

Problem-Solving and Data Analysis evaluates your quantitative reasoning in real-world scenarios. Questions test percent change, scatterplots, two-way tables, probability, and conceptual statistics.

Interactive Test Sample · Question 1 of 1
SAT Problem-Solving & Data Analysis

A study surveyed 400 high school students and found a margin of error of ±4.5%. Which sample size would result in a smaller margin of error for the same population?

Core Rules & Common Traps

Rule / ConceptHow It's TestedThe Trap to Avoid
Percent Change FormulaPercent Change = |New - Old| / Old × 100%.Dividing by the new value instead of the original initial value.

What this domain covers

Ratios, rates, unit conversions, and proportions
Percentages, percent increase/decrease, and compound interest
Statistics: mean, median, mode, range, standard deviation
Data representations: scatterplots, best-fit lines, two-way tables
Margin of error and sample size inference

Strategy that actually works

1Underline units carefully: miles vs kilometers, hours vs minutes.
2Margin of error rule: larger sample size = smaller margin of error.

Frequently asked questions

Do I need to calculate standard deviation by hand on the SAT?

No. Standard deviation questions on the SAT are strictly conceptual — you only need to determine which dataset has values spread further from the mean.

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