# Arithmetic index

## Arithmetic Index

An average in which no values count for more than others. That is, an arithmetic index simply adds the value of all data and divides by the number of data points. An arithmetic index is less common than a weighted average; that is, most indices weight for price or market capitalization. However, the Value Line composite index has an arithmetic version.

## Arithmetic index.

An arithmetic index gives equal weight to the percentage price change of each stock that's included in the index.

In computing the index, the percentage changes of all the stocks are added, and the total is divided by the number of stocks. The percentage price changes of large companies aren't counted more heavily, as they are in a market-capitalization weighted index.

An arithmetic index is a more accurate measure of total stock market performance than an index that stresses relatively few high-priced or large-company stocks. However, some analysts point out that it may also produce higher total return figures than other indexing methods.

The best known arithmetic index in the United States is the one computed by Value Line, Inc., which tracks the approximately 1,700 stocks. Standard & Poor's also calculates an arithmetic version of the S&P 500 index.

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The edge version of geometric arithmetic index of polyomino chains of 8 cycles and arbitrary carbon nanocones is computed by .
The geometric arithmetic index GA of a graph G is introduced by Vukicevic et al.
The fifth version of geometric arithmetic index [GA.sub.5] of a graph G is introduced by Graovoc et al.
The geometric arithmetic index of [F.sub.p] can be computed by using Table 1 in the following formula:
Hosseinzadeh, Computing fifth geometric- arithmetic index for nanostar dendrimers, J.
Khan (1994), also using an arithmetic index, formulation, estimated TFP growth for the crop subsector during 1980-93.
To measure total factor productivity the most frequently applied techniques in literature on agriculture are: (a) Arithmetic Index (AI); and (b) Tornqvist-Theil Index (TTI).
The estimated annual growth rates of agricultural GDP and the TFP using arithmetic index procedure based on 1960-61 and 1980-81 weights are given in Table 3.
In the past five years, they have strategically thought their way to a total return to shareholders of 53%, while the Value Line arithmetic index (a far better measure of performance than capitalization- or price-weighted indices) had a total return of 104%.
One of the oldest travel indices, developed in the 1950s for Williamsburg, Virginia, is a simple arithmetic index of hotel/motel receipts, retail sales, and tourist ticket sales.
Recently some well known topological indices, namely, Randic index, atom-bond connectivity index, and geometric arithmetic index for nanotube [NA.sup.n.sub.m] and nanotube [NC.sup.n.sub.m] have been studied in [17, 18].
Keywords: General sum-connectivity index Harmonic index Zagreb index Atom-bond connectivity index Geometric arithmetic index Butterfly network Benes network

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