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"slice of the population" is a perfectly correct and usable phrase in written English.
You can use it to refer to a subset of people that make up a larger group. For example, "We only surveyed a small slice of the population, so it is difficult to extrapolate our results to the entire population."
Exact(60)
Only members of the intelligentsia, a tiny slice of the population, deliberate on public issues".
Russia's liberals, a small but influential slice of the population, have faced lacerating truths this month.
However, that slice of the population was growing in the early 21st century.
Older customers, a wealthy and profitable slice of the population, like them.
A resentful slice of the population is poor and getting poorer.
Also, the samples previously analyzed represented only a narrow slice of the population at different points in individual careers.
When the stock options and portfolios of that tiny slice of the population collapsed, so did the state budget.
Over the past few decades, we've seen a growing concentration of riches in a small slice of the population.
The young, the old and the single make up a huge slice of the population, and they flock to density.
Sweden has one of the world's oldest populations, with a significant slice of the population age 65 or over.
For a certain slice of the population, the two delights came together most often in Jewish-style delis of New York.
More suggestions(16)
chunk of the population
sector of the population
stratum of the population
contribution of the population
tier of the population
tip of the population
proportion of the population
bit of the population
share of the population
determination of the population
corner of the population
percentage of the population
slice of the action
slice of the country
slice of the pie
slice of the credit
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com