CAT Averages & Weighted Averages: The Balance Method

Averages in CAT are rarely about simple calculation. They are about 'balance' and 'deviation'. This guide teaches you the 'Assumed Mean' method and the powerful 'Alligation' technique to solve weighted average problems in seconds.

Section 1: The Core Toolkit

The Foundation: Averages as Balance Points

Stop calculating sums. Learn to view the Average as a fulcrum or balance point, allowing you to solve problems by observing deviations.

The #1 Skill: Working with Sums

Learn the fundamental strategy for solving replacement and removal problems: converting averages to sums to track changes efficiently.

Section 2: Advanced CAT Concepts

Application: Weighted Averages (WAvg)

Master the concept of Weighted Averages for scenarios where groups have different sizes. Essential for Data Interpretation sets.

Shortcut: The Alligation Method (Mixtures)

Learn the 'Rule of Alligation', a visual shortcut for solving weighted average and mixture problems without complex equations.

Special Properties: Arithmetic Progressions

Explore the powerful property for evenly spaced sets (AP): Mean = Median. This is a frequent shortcut in CAT Number System questions.

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