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The phrase "average of approximately" is grammatically correct and usable in written English.
It is typically used to describe a value that is estimated or rounded to the nearest value. Example: The average temperature in the summer is approximately 25 degrees Celsius.
Exact(59)
This is far lower than the average of approximately 11 days across schools in other OECD countries.
The spelling bee earned an average of approximately 5.5 million viewers, leaving ABC in third place over all.
It received a total of 62,871 between April 2002 and March 2009, which is an average of approximately 40 a day.
"Medicare Advantage plans are offering an average of approximately $1,100 in additional annual value to beneficiaries in terms of cost savings and added benefits," said Kerry N. Weems, the acting administrator of the Centers for Medicare and Medicaid Services.
From an average of approximately 1 million hits per day in February 1995, traffic rose to more than 125 million hits per day by November 1997.
Yelp had a monthly average of approximately 78 million unique visitors in Q2 2012*.
We still hope to show an average of approximately one featured story in News Feed per day".
Drivers on the Kobo360 app earn on average of approximately $5,000 per month, according to Ozor.
The events were relocated an average of approximately 2 km shallower than the JMA position.
These disasters claimed 1.91 million lives, an average of approximately 64,000 lives annually.
TACT has randomized and will follow up 1,708 patients for an average of approximately 4 years.
More suggestions(15)
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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