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The phrase "a normal distribution of" is correct and usable in written English.
It can be used in contexts related to statistics, particularly when discussing the distribution of data points in a dataset that follows a normal distribution pattern.
Example: "The study revealed a normal distribution of test scores among the participants, indicating that most scores clustered around the mean."
Alternatives: "a Gaussian distribution of" or "a bell curve of".
Exact(60)
For a normal distribution of normalized expression signals for a certain gene, τ ≈ 2.64.
The likelihood of a normal distribution of values was assessed using the D'Agostino & Pearson omnibus normality test.
A normal distribution of the data was assessed by the D'Agostino & Pearson omnibus normality test.
The Kolmogórov Smirnov test showed a normal distribution of the variables.
How could we talk about a normal distribution of extreme events?
It was done in order to down-weigh high abundance values and approximates a normal distribution of the data (for rationale see42).
We log-transformed (natural log) these scores twice to achieve a normal distribution of the residuals in mixed effects model analysis.
Immunohistological analysis of mutant lungs demonstrated a normal distribution of bronchiolar and alveolar cells, indicating that loss of TNRC6c did not abrogate epithelial cell differentiation.
(2 Generate samples from a normal distribution of dimension.
In her mind, Goldilocks has something which maps on to a normal distribution of possible outcomes.
The Kolmogorov Smirnov test revealed a normal distribution of all quantitative variables (P > 0.05).
More suggestions(15)
a normal allocation of
a regular distribution of
a standard distribution of
a common distribution of
a typical distribution of
a natural distribution of
a traditional distribution of
a normalized distribution of
a normal feature of
a balanced distribution of
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a large distribution of
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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