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What is meant by the term “representative stock list” here?
The meaning is quite literal - a representative stock list is a list of stocks that would reasonably be expected to have about the same results as the whole market, i.e. be representative of an investment that invests in all those stocks. Of course, you don't want to invest in all stocks individually, that would be impractical, but you can either choose a diverse array of stocks that are (should be) representative, as the article recommends, or alternatively choose to invest in an index fund which offers a practical way to invest in all the stocks in the index at once.