Keep in mind that an index is simply a list of stocks that someone has chosen to include in the list.
A large index like the S&P 500 has more stocks and covers a broader range of the market than a smaller index like the Dow Jones Industrials, but both indexes are simply lists of stocks that someone has picked.
Bubba,
I realize what an index is. My points remain true.
The S&P 500, for example, is comprised of the 500 largest U.S. stocks, as measured by market capitalization. The companies in the list can change, but only as a result of changes in the size of the company (or in cases of mergers, such as Exxon-Mobil).