Problem Solving & Data Analysis Summary

SAT Math · Axiom Academy

Unit Summary: Problem Solving & Data Analysis Your complete guide to mastering this crucial SAT unit Problem Solving & Data Analysis accounts for approximately 29% of SAT Math questions. This unit tests your ability to work with real-world data and mathematical relationships. You've learned eight key topics that build upon each other: Setting up equivalent ratios and cross-multiplying to solve Percent calculations, increases, decreases, and compound changes Dimensional analysis and rate conversions Interpreting tables, graphs, and scatter plots Mean, median, mode, standard deviation, and spread measures Basic and conditional probability calculations Identifying bias and evaluating validity Lines of best fit and making predictions Mean is affected by outliers; median is resistant Mode is the most frequent value Range shows total spread but is affected by outliers IQR and standard deviation are more robust measures AND events: Multiply probabilities (if independent) OR events: Add probabilities (if mutually exclusive) Conditional probability: Focus on the condition group Observational studies show correlation, not causation Random sampling produces representative samples Selection bias makes samples non-representative Correlation doesn't imply causation Markup/discount: Multiply by (1 ± rate) Compound changes: Apply each change sequentially Percent change: (New - Old) / Old × 100% Working backward: Divide to find original

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