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The phrase "a normal distribution" is correct and usable in written English.
You can use it when talking about a statistical distribution in which the average value is the same as the mode and median values, and the data is symmetrically distributed around the mean. For example, "The data in this experiment was shown to follow a normal distribution."
Exact(59)
Note that normalized intensities were approximated with a normal distribution.
But very few – if any – online phenomena follow a normal distribution.
But even when raw data does not fit a normal distribution, there is often a normal distribution lurking within it.
So it's a normal distribution.
Z follows a normal distribution.
All groups had a normal distribution.
The random sampling follows a normal distribution.
They also visually follow a normal distribution.
Many natural datasets follow a normal distribution.
Earlier contributions considered continuous response that assumes a normal distribution.
(2) The OpenStreetMap road diversity shows a normal distribution.
More suggestions(17)
a conventional distribution
a natural distribution
a typical distribution
a normalized distribution
a standard distribution
a common distribution
a traditional distribution
a normal distributions
a normalization distribution
a normal practice
a probabilistic distribution
a large distribution
a proper distribution
a specific distribution
a normal dinner
a narrow distribution
a normal spread
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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