Index numbers are usually expressed by setting some selected value as 100 and converting all other numbers to an index relative to that base.
So, for a simple index, if the value y(0) is set to 100, then the index for the value y(k) is y(k)/y(0)*100.
The calculations become more complicated if the index is for a collection of items. In such cases, a number of different "sub-indices" need to be combined together. The combined index is calculated as a weighted average of the component sub-indices, with the weights based on the importance of each su-index in the base period (base-weighted) or in the current period (current-weighted).
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uses of index
Coordinate index ? Sure ! It's easy ... You just have to coordinate your index number !
A number with a negative index is simply the reciprocal of the same number with a positive index. So, x-a = 1/xa Next a number to a fractional index, (a/b) is the ath power of the bth root of the number. Equivalently, it is the bth root of the ath power of the number. That is, xa/b = b√(xa) = (b√x)a. Combining these results: x-a/b = 1/(xa/b) = 1/[b√(xa)]
index is the same as power The index of a number say how many times you have to use the number in a multiplictaion. e.g; 2 10 = 10*10=100
The index number in economic terms refers to an economic data figure reflecting price or quantity compared with a standard or base value. The best known index number is the consumer price index, which measures changes in retail prices paid by consumers.