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Index Numbers and Time Based Data — Syllabus

CBSE · Class 12 · Applied Mathematics

What Index Numbers and Time Based Data covers in CBSE Class 12 Applied Mathematics: 4 topics, for the 2026-27 session.

49 questions21 flashcards5 formulas & key relations5 concepts

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4 Topics · CBSE Class 12 Applied Mathematics · 2026-27

Topics in Index Numbers and Time Based Data

1

Concept and Types of Index Numbers

  • Index number measures change in a group of related variables over two different situations (time, place, etc.)
  • Base period index is always 100 for comparison purposes
  • Index series is a collection of index numbers for different periods using same base
2

Simple (Unweighted) Methods

  • Simple Aggregative Method: Sum of current prices divided by sum of base prices
  • Major limitation: dominated by high-priced commodities
  • Simple Average of Relatives: Average of individual price relatives
3

Weighted Aggregative Methods

  • Laspeyres Index: Uses base year quantities as weights
  • Paasche Index: Uses current year quantities as weights
  • Fisher's Ideal Index: Geometric mean of Laspeyres and Paasche indices
4

Tests of Adequacy

  • Unit Test: Index should be independent of units of measurement
  • Time Reversal Test: P₀₁ × P₁₀ = 1 (where P₀₁ and P₁₀ are reciprocal indices)
  • Factor Reversal Test: Price index × Quantity index = Value index

Key Concepts

Statistical measures that show percentage changesInclude Relative IndexAdvanced methods that consider quantities/weightsUses base period quantities as weightsUses current period quantities as weights

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Frequently Asked Questions

What are the important topics in Index Numbers and Time Based Data for CBSE Class 12 Applied Mathematics?
Key topics in Index Numbers and Time Based Data include Concept and Types of Index Numbers, Simple (Unweighted) Methods, Weighted Aggregative Methods, Tests of Adequacy. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Index Numbers and Time Based Data for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 49 practice questions on Index Numbers and Time Based Data. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 12 Applied Mathematics Syllabus

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