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The phrase "symmetrically distributed" is correct and can be used in written English.
It is used to describe a set of numbers that have a symmetrical arrangement around their mean or average. For example, "The ages of the students in the class were symmetrically distributed, with an average age of 25."
Exact(60)
We calculated means and standard deviations for symmetrically distributed variables and medians and ranges for variables with non-symmetrical distributions, as distinguished by visual inspection of data plots.
The principal assumption is that the frequency distribution of indurations caused by tuberculous infection will be symmetrically distributed.
Typically quadcopters have symmetrically distributed propellers for maximum stability and control during flight.
and nonskewed (e.g., symmetrically distributed).
The observed peaks are sharp and symmetrically distributed.
Moreover, the users in three cells are symmetrically distributed.
Now, and, where represents the beamwidth of the scattered components symmetrically distributed around.
Suppose that the samples are independent and symmetrically distributed around (location parameter).
The spin density is symmetrically distributed around the two ends of the diagonals.
There is no reason to suppose that tastes are symmetrically distributed with infinite support.
The situation is more complex as the firms are not symmetrically distributed on the market.
Related(16)
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symmetrically allocated
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symmetrically knotted
symmetrically broken
symmetrically placed
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symmetrically stacked
symmetrically loaded
symmetrically positioned
symmetrically balanced
symmetrically defined
symmetrically arranged
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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