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The phrase "a reasonable cross section" is correct and usable in written English.
It can be used when referring to a representative sample or a diverse selection of a larger group or population.
Example: "The survey included a reasonable cross section of participants from various age groups and backgrounds."
Alternatives: "a representative sample" or "a diverse selection".
Exact(1)
An incandescent kook, a swinging cool guy, a gregarious cutup, a neurotic sob sister and two tough ladies: the performers in "Broadway Melody Makers," Friday's opening-night show of the three-day Broadway Cabaret Festival at Town Hall, made up a reasonable cross section of personality types you might find at a showbiz after party.
Similar(59)
A more reasonable goal is alignment of a coalition of countries that represent a reasonable cross-section of the world, north and south, east and west.
Whatever "spin" there may be, they say, is simply due to the cultural attitudes of Al Jazeera's 500 employees, whose diverse national backgrounds make up a reasonable cross-section of middle-class Arab opinion.Luckily for Al Jazeera, its backers include the ruler of Qatar, the tiny Gulf emirate where the network is based.
I scoured Trader Joe's, Whole Foods and Von's (a Safeway grocery chain in California) to get a reasonable cross-section of foods at different price points and organic integrity that could be available nearly anywhere.
While Google News is by no means an exhaustive compilation of all online media outlets worldwide, its source catalog is extensive enough that it at the least captures a reasonable cross-section of the online media landscape such that it serves as a useful filter for the outlink graph.
Consultants from the search firm Hazard, Young, Attea & Associates said they have received a reasonable cross-section of feedback.
Participants represented a reasonable cross-section of the general US population of television news viewers.
(This is not to criticize either the journal or its editors, because this seems like a reasonable cross-section of activity in the field of conservation genetics).
We think that it is not evident from the literature that ROb and RPa coincide in reasonable cross sections with RMg, though they do coincide with each other.
A pop trio (piano, bass and drums) led by D. Jay Bradley provided solid support for Alix Korey, Eric Michael Gillett, Adriane Lenox and Jay Rogers, cabaret and stage performers who represent a reasonable stylistic cross section of musical-theater voices.
"It has to be a real cross section".
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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