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Averages — Formula Sheet

CAT · Quantitative Aptitude

Free Averages formula sheet for CAT Quantitative Aptitude 2026 — all important formulas, equations, and constants for quick reference.

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A visual explanation of weighted average, showing how the average shifts towards the group with more 'weight' (higher count or quantity), using a number line and a balance analogy.
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Formula Sheet — Averages

Important formulas and equations from Averages for CAT Quantitative Aptitude.

Formulas — Averages

Basic Average Formulas

Average = Sum of observations / Number of observations
Sum = Average × Number of observations
Number = Sum / Average

Weighted Average

Weighted Average = (w₁×x₁ + w₂×x₂ + ... + wₙ×xₙ) / (w₁ + w₂ + ... + wₙ)
Combined Average = (n₁A₁ + n₂A₂) / (n₁ + n₂)

Average Properties and Rules

New Average = Old Average + (Change per item)
Average after n years = Current Average + n

Common Problem Types

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Frequently Asked Questions

What topics are covered in Averages for CAT?
Averages is an important chapter in CAT Quantitative Aptitude. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts of Central Tendency, Weighted Averages, Properties and Applications of Averages, Practical Applications.
How important is Averages for CAT?
Averages is a frequently tested chapter in CAT Quantitative Aptitude. Questions from this chapter appear regularly in previous year papers. There are 58 practice questions available for this chapter.
How to prepare Averages for CAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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