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Business Mathematics and Basic Statistics · Ch 8 — Index Numbers

Simple Aggregate Method

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Simple Aggregate Method

The simplest way to combine the prices of several commodities into one index number is to add up all their base-year prices, add up all their current-year prices, and compare the two totals. This is the Simple Aggregate Method.

Note

Simple Aggregate Method

P01=Σp1Σp0×100P_{01} = \dfrac{\Sigma p_1}{\Sigma p_0}\times 100

where Σp0\Sigma p_0 is the sum of the base-year prices of all the commodities included, and Σp1\Sigma p_1 is the sum of their current-year prices.

To apply the formula: list every commodity's base-year price and current-year price, add each column separately to get Σp0\Sigma p_0 and Σp1\Sigma p_1, divide the current-year total by the base-year total, and multiply by 100. …