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you find out your income is in the 30th percentile for people in your profession. this...

you find out your income is in the 30th percentile for people in your profession. this means

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The rth percentile is the smallest score that is greater than or equal to a certain percentage of the scores.  Hence you know that your income is in the 30th percentile for people in your profession, that means your income is higher than 30% of the people in your profession.

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