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The phrase "a lower average" is correct and usable in written English.
It can be used when discussing statistical data or comparisons where one average is less than another.
Example: "The study revealed that the new teaching method resulted in a lower average test score compared to the traditional approach."
Alternatives: "a reduced average" or "a diminished average".
Exact(60)
The Bush group had a lower average ranking, 42.
Only three teams have had a lower average for an entire World Series.
And the overall interception percentage was just 2.6%, a lower average than any recent season.
UK turnover and premiums were down, which when taken together with increased policyholders means a lower average premium per vehicle.
Its expansion into North Carolina and Georgia with the purchase of Colony Homes resulted in a lower average selling price.
IDT, based in Newark, already repurchased 2.8 million common shares at a lower average price since May.
Undoubtedly, riding at a lower average speed, with more prudent throttle use, would have produced even gaudier numbers.
The deal also means Sports Direct will have paid a lower average price for the shares than if it had bought them directly in the market.
The only teams with a lower average were San Francisco and Houston -- and they are battling for the first overall draft pick.
Under the House plan, five million taxpayers in top income brackets would get a lower average tax refund than President Bush says many middle-class families would receive.
A lower average rank indicates a better performance.
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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