SAT Averages: A Guide to Data Analysis & Problem Solving

Averages (Mean), Median, and Range are core concepts in the SAT's "Problem Solving and Data Analysis" domain. This guided path will teach you the fundamental skills and the specific strategies needed to interpret data and avoid common traps.

Section 1: The Core Toolkit

The Foundation: What is an Average?

Start with the core definition of the Arithmetic Mean. Use the interactive analyzer to see how Sum, Count, and Range are related.

The #1 Skill: Working with Sums

Learn the most important strategy for solving average-based word problems on the SAT: immediately converting an average into a Sum Total.

Section 2: SAT-Specific Strategies & Concepts

Application: Weighted Averages

Master the concept of weighted averages for common SAT scenarios, such as calculating final grades or analyzing survey data.

Key SAT Concept: Mean vs. Median

Understand the critical difference between Mean and Median, and use our visualizer to see how a single outlier can dramatically affect the average.

Shortcuts: Arithmetic Sequences

Learn the powerful shortcut for finding the average of an evenly spaced set (an arithmetic sequence), a useful trick for the no-calculator section.

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