Averages — Revision Notes
XAT · Quantitative Ability & Data Interpretation
Free Averages revision notes for XAT Quantitative Ability & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Averages for XAT Quantitative Ability & Data Interpretation preparation.
Key Topics to Revise
Basic Concepts of Central Tendency
- Three main measures of central tendency: Mean (Average), Median, and Mode
- Arithmetic Mean is the most widely used and effective measure
- Average represents the value that can replace each number without changing the total
Weighted Averages
- Used when different values have different importance or weights
- Essential for problems involving mixtures, investments, speed calculations
- Weights can be simplified to ratios for easier calculation
Properties and Applications of Averages
- Average can replace each number without changing the total sum
- Net deficit below average equals net surplus above average
- For age problems: average age increases by n years after n years
Practical Applications
- Price calculations when buying different quantities at different rates
- Speed and distance problems with varying speeds over different time periods
- Mixture problems involving different concentrations
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