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The phrase "a relatively small number" is correct and usable in written English.
It can be used when discussing quantities or amounts that are considered small in comparison to a larger context or total.
Example: "In the survey, a relatively small number of participants reported experiencing side effects."
Alternatives: "a modest amount" or "a limited quantity".
Exact(60)
There was a relatively small number of western climbers injured".
The battle is over a relatively small number of judges.
The centre holds a relatively small number of refugees: 442.
We have a relatively small number of ports and airports.
So far only a relatively small number have defected.
A relatively small number of species parasitize beneficial insects.
But the billions of Tweets and videos and stories all travel over a relatively small number of fibre-optic cables run by a relatively small number of companies.
The six remaining primaries remain have only a relatively small number of delegates, 217.
The insiders own a relatively small number of shares, but their shares have extraordinary voting rights.
Those statistics show that Europe has suffered a relatively small number of cases.
Only a relatively small number of instruments could be fitted and operated as a result.
More suggestions(17)
a relatively modest number
a fairly small number
a quite small number
a relatively insignificant number
a reasonably small number
a relatively narrow number
a relatively limited number
a relatively minimal number
a relatively reduced number
a relatively small network
a relatively small audience
a relatively large number
a relatively small proportion
a relatively small group
a relatively small value
a relatively small amount
a relatively small fraction
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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