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To understand the significance, lets start by considering that the top 1% earn about 20% of the total income, and 60% of the lowest earners only have about 4.2% of the total income.

If you remove both those extremes, then average and median becomes somewhat closer to each other.

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If you removee the bottom 60% of people you aren't representing what is happening very well.

And removing the bottom 60% will most likely remove the median.

More than "likely", by definition, if you remove the bottom 60%, you are removing the median (which is where the bottom 50% and the top 50% meet)

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