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The phrase "a much better average" is correct and usable in written English.
It can be used when comparing averages, indicating that one average is significantly improved over another.
Example: "After implementing the new strategy, our team achieved a much better average in performance metrics this quarter."
Alternatives: "a significantly improved average" or "a considerably better average".
Exact(2)
That's a much better average than that of most politicians.
Though Rolen was more productive this year on the road (.346, 24 homers) than at Busch (.284, 10), Edmonds had a much better average at home (.317, 24) than on the road (.285, 18).
Similar(57)
EPS fared much better: average predictions were for a loss per share of -$0.01.
A survey of research sponsored by Britain's National Health Service suggests that radical prostatectomy (cutting it out) causes incontinence in as many as 27% of patients and impotence in as many as 85% of them (though many surgeons claim much better averages).
We also tested a variable ordering obtained by a depth first search (DFS) (Sedgewick, 2002), but found that the ordering obtained by a breadth first search resulted in a much better performance on average.
At $2,499,990, the abode has been reduced 24.7% from its original $3,324,000 asking price, making it a much better bargain than the average home in Chicago, where asking prices are down 8.7% on average.
First, we consider the power control for good users which generally have a much better achieved SINR than average.
One of my students, Steve Cayzer, who unbeknownst to me held a Ph.D. in biological sciences, did a much better job than my average student, and we found that we could devise AIS algorithms that were useful for solving complex data-mining problems.
"An adoption can cost up to $50,000, so celebrities are in a much better place than the average person because, let's face it, money talks," she said.
The Kapos formed the main part of the so-called Prominents, or prisoners who were given a much better treatment than the average inmate.
Via Richard Florida, new work by the Census (pdf) calculates "population-weighted density" — a weighted average of density across census tracts, where the tracts are weighted not by land area but by population; this gives a much better idea of how the average person lives.
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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