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The phrase "a significant difference in the average" is correct and usable in written English.
It can be used in contexts where you are comparing averages between two or more groups or datasets to highlight a notable disparity.
Example: "The study revealed a significant difference in the average test scores between the two classes, indicating that one teaching method was more effective than the other."
Alternatives: "a notable variation in the mean" or "a considerable disparity in the average".
Exact(21)
There was a significant difference in the average average relative content of the two compounds between the two varieties.
In order to test for significance of these results, grade data for all students from the 2013/2014 year (which is representative of the average GPA of the past 5 years) were compared to data for the 2014/2015 year using an independent samples t test, which showed a significant difference in the average GPAs between the two sample years (p < 0.001).
We measured the sizes of the midbodies on confocal-microscopic projected images and confirmed by statistical analysis that there was a significant difference in the average lengths of these structures in cultures where TBCD had been silenced (DF = 174; P = 0.1).
The onset of pain was defined as a significant difference in the average pain compared with t = 0.
For each subgroup comparison considered here, there was a significant difference in the average level of the behavioral response.
However, we did not observe a significant difference in the average number of metastatic nodules in lung (data not shown).
Similar(39)
In addition, we observed a statistically significant difference in the average duration of calcium events at 72 h.p.i.
There was no significant difference in the average area of cells exhibiting the different patterns (p>0.05, ANOVA).
There was also no significant difference in the average LOS.
There was no significant difference in the average tumor size between tumors formed in Arf+/+ versus Arf−/− mice (Figure 6B).
We found no significant difference in the average expression of 20S subunits between the two groups.
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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