I don't necessarily need microdata on the number of hours worked, but I would like to see some data on the percentile scale. I can't seem to find anything except for averages, which are not what I'm looking for.

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I assume you've already found averages at Current Employment Statistics, FactFinder, or the American Time-Use Survey. I don't see any percentiles there.

I don't know of any ready-made tables from BLS or Census that include percentiles for hours worked, so unfortunately you will probably need to create your own tabulation using microdata from CPS PUMS or ACS PUMS. Be aware that this does require significant expertise in working with weighted survey data and knowing which records to filter out by labor force status etc.

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