Skip to content

Applied Mathematics · Ch 8 — Index Numbers and Time-based Data

Simple (Unweighted) Aggregative Method

8.4.2

Simple (Unweighted) Aggregative Method

Once you need to track a group of items together — say a full basket like housing, food, medical care and transport — rather than one commodity at a time, the simple aggregative method builds a single combined index for the whole group. The idea is to express the aggregate (sum) of the group's prices in the current period as a percentage of their aggregate in the base period:

In=∑pn∑p0×100I_n = \dfrac{\sum p_n}{\sum p_0} \times 100

Here ∑p0\sum p_0 is the sum of the unit prices of all items in the base period, and ∑pn\sum p_n is the sum of their unit prices in the current period nn. The same idea, applied to quantities instead of prices, gives the quantity index:

In=∑Qn∑Q0×100I_n = \dfrac{\sum Q_n}{\sum Q_0} \times 100 …