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The phrase 'higher on average' is correct and can be used in written English.
It is generally used as an adjective to describe a range of numbers that is larger than the norm or that is larger than another range. For example: Compared to last year's sales figures, this year's have been significantly higher on average.
Exact(60)
A COD of 0.14 corresponds to a case where one site is 33% higher, on average, than the other site; a COD of 0.40 corresponds to a case where one site is 133% higher, on average, than another site.
Overall, the proportion of boys compared to girls among arrivals remains higher (on average four boys for every one girl).
RSL rents are 20% higher on average.
Baseline SBP was estimated to be 25% higher on average than systolic Prest.
The household incomes of white women, as a result, are higher on average.
The fundamentals are better than they were last year, and earnings are 25percentt higher, on average.
The premiums were 19percentt higher, on average, after being adjusted for changes in benefits, the company said.
Mr. Bush's annual spending on structural projects is $100 million higher on average than President Bill Clinton's.
The prices paid by first-time buyers two months ago were 4.3% higher on average than in September 2014.
Hospital visits were 40percentt higher, on average, among members than among comparable nonmembers in the last two years.
Prices paid by first-time buyers were 10% higher on average than in March 2013, the ONS said.
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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