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The phrase "averages average of" is not correct and does not make sense in written English.
It seems to be an attempt to describe a statistical concept, but it lacks clarity and proper structure.
Example: "The averages average of the data set was calculated to determine the overall trend."
Alternatives: "mean of the averages" or "average of the averages".
Exact(1)
The outcome variable was the hospital-specific daily count of pediatric asthma emergency department visits, and pollutant concentrations were characterized as three-day moving averages (average of concentrations today [lag 0], yesterday [lag 1], and the day before yesterday [lag 2]).
Similar(59)
NOAA typically categorizes a season as either above-average, average, of below-average based on the cumulative ACE Index; however, the number of tropical storms, hurricanes, and major hurricanes within a hurricane season is considered occasionally as well.
In his three seasons with the Millers, he appeared in 118 games, recording 33 shutouts with a 1.37 goals against average (average of goals surrendered in a span of sixty minutes).
The five parameters of locomotor activity for each test subject were also analyzed in five ways (lifetime average, average of second session of seven trials, highest lifetime trial result, lowest lifetime trial result, and the last (17th) trial.
The pure-tone average (average of pure tone thresholds at 500, 1000, 2000, 4000 and 8000 Hz) ranged from 10to4848 dB HL.
To compare the expression levels of different probes graphically, we subtracted the average ΔCt (of three biological replicates) from the series average (average of all samples) to obtain –ΔΔCt.
Our experiments show that the automated registration removes an average (average of root mean squared errors) of 3.10 μm in registration error per frame (using 15 sequences of 31 frames each).
aRate ratios are for three-day moving average (average of lag 0, lag 1, and lag 2) pollutant concentrations during the six warmest months in Atlanta (May through October).
HF PTA = high-frequency pure-tone average (average of thresholds at 1000, 2000, 3000, and 4000 Hz), SD = standard deviation, SNHL = sensorineural hearing loss All health status characteristics were also evenly distributed across the four visit combinations (Table 8).
The rationale of the procedure is: Raw averaging: averaging of all trials with respect to an event for each EEG and EOG-channel to estimate the event related variation for the EEG and EOG-channels Raw average subtraction: subtraction of the raw averages from every single trial to estimate the activity at an electrode site, for each trial, that is not event related.
The average grade-point average of the fellows is 3.6.
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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