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The phrase "a reduction in average" is correct and usable in written English.
It can be used when discussing a decrease in the mean value of a set of data or measurements.
Example: "The study showed a reduction in average temperatures over the past decade."
Alternatives: "a decrease in mean" or "a decline in average".
Exact(46)
The negative factors influencing the index were faster delivery times, a reduction in average weekly hours worked at factories and fewer expected orders for consumer goods as well as for nonmilitary capital goods.
One study found that for every 10% increase in green space, communities can show a reduction in health complaints equivalent to a reduction in average age of 5 years.
The lake, located in Nevada and Arizona, has a 50percentt chance of becoming unusable by 2021, the scientists say, if the demand for water remains unchanged and if human-induced climate change follows climate scientists' moderate forecasts, resulting in a reduction in average river flows.
Our estimates imply that a reduction in average inflation from 10 percent to 5 percent substantially alters the short-run impact of aggregate demand.And they conclude:In countries with low inflation, the short-run Phillips curve is relatively flat-fluctuations in nominal aggregate demand have large effects on output.
The data show a reduction in average roughness from 30.9 to 19.5.
Morphological characterization showed that the addition of collagen to PLGA resulted in narrowing of the diameter distribution and a reduction in average diameter.
Similar(14)
Babajobs users report an average earnings increase of 20.1% and a reduction in their average commute time by 14 minutes per day (World Bank 2012a).
When a factory increases output, a reduction in the average cost of a product is usually obtained.
*"The cut in the food stamp program, if achieved by lowering the maximum benefit, would lead to a reduction in the average benefit from an already lean 91 cents per meal to 84 cents".
In this sense, a reduction in the average carbon content of advanced bainitic steels was proposed.
The first results show a reduction in the average speed of 4%%.
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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