Averages are a high-frequency topic on the GRE, testing your ability to reason with data sets. Top scores come from using conceptual shortcuts that are faster than the on-screen calculator. This path will teach you the core skills and strategies you need.
Start with the core definition of the Arithmetic Mean and use our interactive analyzer to see how Sum, Count, and Range are related.
Learn the most important strategy for solving average-based word problems: immediately converting an average into a Sum Total.
Master the concept of weighted averages for common GRE scenarios where some data points are more important than others.
Explore two powerful shortcuts: how averages behave when scaled, and how to instantly find the average of an arithmetic sequence.
Learn the "surplus/deficit" method to solve QC average problems conceptually, which is much faster than direct calculation.
Understand the definition of the Geometric Mean and the AM-GM inequality, a useful shortcut for certain advanced GRE problems.
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