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"above the range" is correct and usable in written English.
It is used to indicate something that is higher or greater than the range or limit specified. For example, "The temperature exceeded the acceptable range, reaching levels above the range."
Exact(60)
As per the above, the range of olive oils is huge — it's like asking what my favorite wine is.
As above, the range of optimal clustering parameters was reported for each replicate, and the analysis was restricted to the uncorrected distances inferred from the poa alignment.
Last year, 2011, was one hurricane above the range.
The sound is above the range people can hear, and below the range that might hurt other animals.
Ultrasonic waves are sound waves that are above the range of sound audible to humans.
During World War II high-altitude bombing above the range of antiaircraft guns necessitated the development of rocket-powered weapons.
Shares had been sold to the public at $31, a price above the range that had been expected and one that was viewed as relatively aggressive.
They had been sold to the public at $31, a price above the range that had been expected and one that was viewed as relatively aggressive.
The aircraft flew high, remaining above the range of rebel heavy machine-guns, and then descended in a steep spiral onto the base.
Another big winner was fun., a band committed to writing melodies a few steps above the range of their lead singer, Nate Ruess.
OPEC's basket of crude oil prices has hovered near or above $30 a barrel for more than three weeks, above the range of $22 to $28 a barrel that OPEC says it prefers.
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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