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.
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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
Full sheet with units and worked examples
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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