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The phrase "a representative sample of each" is correct and usable in written English.
It can be used when discussing the selection of a subset from a larger group that accurately reflects the characteristics of that group.
Example: "In our research, we collected a representative sample of each demographic to ensure our findings were valid."
Alternatives: "an indicative sample of each" or "a typical sample of each".
Exact(18)
Mr. Mocarsky said Arbitron seeks a representative sample of each local market, with specific benchmarks for ethnic groups, genders and ages.
A representative sample of each of the formal teaching session types was mapped, and residents anonymously completed a 5-question written survey rating the session.
Direct interviews were conducted in which an intended survey, designed specifically for each stakeholder, was answered by a representative sample of each one.
With only 700 people included, the study is not a representative sample of each country and reflects only a snapshot of cultural attitudes in the area studied.
A representative sample of each age group was injected (IP) daily with a single dose of either DHET (1 mg/kg) or vehicle (0.9% saline) solution for one month.
If one could talk to a representative sample of each of those companies' employees, it's equally likely that, say, Nestlé Purina PetCare would have come out on top.
Similar(42)
Single 24-h dietary-recall data were also collected from a representative sample of 8% of each EPIC center.
In brief, in order to get a representative sample of people in each age group a two stage sampling strategy was used.
The preferred approach would be to collect a representative sample of observations for each price required for the study, specific to each country, but this is often not feasible or affordable.
His group had tried to assure that a representative sample of students in each country took last year's test, he said.
The latest Timss study, the world's largest review of math and science achievement, involved testing a representative sample of students in each country in 2007, the first time the tests had been administered since 2003.
More suggestions(15)
a representative population of each
a representative frame of each
a representative value of each
a representative experiment of each
a representative portion of each
a fecal sample of each
a large sample of each
a diluted sample of each
a tiny sample of each
a representative block of each
a representative list of each
a bulk sample of each
a small sample of each
a representative isolate of each
a representative part of each
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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