Part 6:
Index Numbers

More Complex Indices

Example 6.2a: Simple aggregative (unweighted) index

Suppose an ice cream shop sells five varieties of ice cream with prices of a 2-litre tub as shown in this table. The owner is looking for a quick, simple index which will reflect the different types of price changes over the whole range of ice creams.

As you see, some have increased in price (by varying amounts), some have decreased, and one has remained the same. So we are looking for an index which will try to take these differences into account.

Type of Ice Cream
July 1993
July 1994
Plain Vanilla
£2.10
£2.10
Harlequin
£2.85
£3.05
Caribbean Fancy
£3.45
£3.90
Choconut
£2.65
£2.60
Mint 'n' Mango
£2.90
£3.20


The general formula for this type of index is

The å sign means 'the sum of'. So the formula is telling us to add up all the pn values, add up all the p0 values, divide the first answer by the second, and then multiply by 100.