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"normal distribution" is a correct and usable phrase in written English.
You can use it when discussing something that follows a bell-shaped curve, like the distribution of a certain trait in a population. For example, "We observed a normal distribution of eye colors in our sample of 100 people."
Dictionary
normal distribution
noun
Any of a family of continuous probability distributions such that the probability density function is the Gaussian function
synonyms
Exact(60)
Normal distribution was tested with D'Agostino normality test.
(See also normal distribution).
Yeah, log normal distribution.
Create a logarithmic normal distribution.
That is a normal distribution.
This pattern is called the "normal distribution".
Because normal distribution comes up here.
Why would we use log normal distribution?
Review of multivariate normal distribution theory.
So for example, assume that you have a normal distribution one random variable with normal distribution.
All data except VAS data were tested for normal distribution.
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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