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The word 'cross-section' is correct and usable in written English
You can use this word when referring to a group of people that are chosen to represent a larger population. For example: "The survey of 200 people provides a comprehensive cross-section of opinions in the region."
Dictionary
cross-section
noun
Alternative spelling of cross section
Exact(31)
A complete cross-section really.
Bread is best seen in cross-section, and each cross-section is different.
"That cross-section is what's so exciting".
Total scattering cross-section.
Stimulated emission cross-section.
Cross-section Wire (in).
Similar(29)
See cross section.
A really nice cross section".
"You want a cross section.
"It draws a cross section.
See also cross section and electron diffraction.
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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