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Chapter 1 of 9
Formula Sheet

Index Number — Formula Sheet

Gujarat Board · Class 12 · Statistics

12 formulas from Index Number (Gujarat Board Class 12 Statistics) on one page, grouped by topic. Part of the Gujarat Board Class 12 Statistics syllabus.

12 formulas & key relations5 concepts

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12 Entries · 6 Sections

Formulas and Key Relations

Key Formulas

Price Relative = (p₁ / p₀) × 100

Index Number (simple) = Σ(p₁/p₀) / n × 100

Fixed Base Index = (Value in current year / Value in base year) × 100

Chain Base Index (CBS) = (Value in current year / Value in preceding year) × 100

FBS → CBS: CBS = (Current year FBS / Previous year FBS) × 100

Definition and Meaning of Index Number

Price relative of an item = (Current year price / Base year price) × 100

Base Year — Fixed Base Method and Chain Base Method

BASE YEAR

A normal, stable year free from unusual events (flood, drought, war, strike, pandemic) used as a reference. Index value of base year = 100.

Conversion Between Fixed Base and Chain Base Index Numbers

CONVERSION FORMULA (Fixed → Chain)

CBI of current year = (FBI of current year / FBI of previous year) × 100

CONVERSION FORMULA (Chain → Fixed)

FBI of current year = (CBI of current year × FBI of previous year) / 100

Index Number = (p₁/p₀) × 100; base year value is always taken as 100

Fixed Base

All years compared to ONE fixed year. FBI = (Current/Base Year) × 100

Chain Base

Each year compared to PREVIOUS year. CBI = (Current/Previous) × 100

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Frequently Asked Questions

What are the important topics in Index Number for Gujarat Board Class 12 Statistics?
Key topics in Index Number include Definition and Meaning of Index Number, Characteristics and Uses of Index Number, Base Year — Fixed Base Method and Chain Base Method, Conversion Between Fixed Base and Chain Base Index Numbers. Study these first, then practise questions on each for the Gujarat Board Class 12 board exam.
How many formulas are in Index Number?
This sheet lists 12 formulas from Index Number, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.

Sources & Official References

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

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