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The phrase "overall distribution" is correct and usable in written English.
It can be used when referring to an accumulation of parts falling within certain parameters. For example, "The overall distribution of books on the shelves displays a wide variety of genres."
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In other words, a sizable minority does not read, but the overall distribution is balanced somewhat by those who read a lot.
But these individual cases do not erase Mr. Gore's basic point that the overall distribution of the Bush plan is toward the most wealthy taxpayers.
But just to be safe, I also looked at the overall distribution of the magnitudes of earthquakes on Boobquake (figure two).
For enhancement scintillation, the overall distribution pattern is the same.
Overall, distribution of the apparent source duration to station azimuth was uniform.
The overall distribution of the data is assumed to be a mixture of several such distributions.
The black line is the mean power fit to the overall distribution.
The perceptual bandwidth is closely related with the overall distribution of the spectrum.
Overall distribution of tertiary level professionals specialised in this field is heterogenous.
Fig. 1 Overall distribution of support of opposition to Cummings' reported comments.
The overall distribution of RRTs modalities among children already included in the study was analyzed.
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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