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Index Numbers and Time Based Data

CBSE · Class 12 · Applied Mathematics

Quick revision notes for Index Numbers and Time Based Data — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

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Key Topics to Revise

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

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Full Notes

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

Frequently Asked Questions

What are the important topics in Index Numbers and Time Based Data for CBSE Class 12 Applied Mathematics?
Index Numbers and Time Based Data covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Index Numbers and Time Based Data — CBSE Class 12 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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