Index Number Formula:
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Index number calculation is a statistical method used to measure relative changes in variables over time or across different locations. It compares current values to a base period value to show percentage changes.
The calculator uses the index number formula:
Where:
Explanation: The formula calculates the percentage relationship between current and base values, where 100 represents no change from the base period.
Details: Index numbers are crucial in economics, finance, and statistics for tracking price changes, economic indicators, stock market performance, and measuring inflation through indices like CPI and GDP deflator.
Tips: Enter both current and base values in the same units. Values must be positive numbers greater than zero. The result shows the index number as a percentage relative to the base period.
Q1: What does an index number of 120 mean?
A: An index of 120 indicates that the current value is 20% higher than the base value (120 - 100 = 20% increase).
Q2: How is the base period selected?
A: The base period is typically a normal or representative period that serves as a standard for comparison. It's often set to 100 for easy interpretation.
Q3: What are common applications of index numbers?
A: Consumer Price Index (CPI), stock market indices, production indices, inflation measurement, and economic indicator tracking.
Q4: Can index numbers be less than 100?
A: Yes, an index below 100 indicates the current value is lower than the base value (e.g., index of 85 means 15% decrease).
Q5: What are the limitations of simple index numbers?
A: Simple index numbers don't account for quality changes, product substitution, or weighting of different components in composite indices.