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The phrase "averages of their" is correct and usable in written English.
It can be used when discussing statistical data or measurements that pertain to a specific group or set of individuals.
Example: "The averages of their test scores indicate a significant improvement over the previous semester."
Alternatives: "mean values of their" or "average figures of their".
Exact(17)
Colleges may choose to take a cynical view on the matter, but ending rank allows students to focus on their education without having to mentally calculate the grade point averages of their classmates.
Under the rather severe restriction, block data are linear averages of their constituent point values.
Then, we study the alternative approximation of A and f by weighted arithmetic averages of their respective values at consecutive time-grid points.
The hidden values need not conform with (3) in general, only the averages of their values in a series of tests must conform with (2).
In the second part, we introduce the families of maps Λ m k (a kind of averages of their variables) that we shall employ in the definition of unconditional convergence.
It is derived by applying the concept of topological derivative within a variational multi-scale framework for steady-state heat conduction where the macroscopic temperature gradient and heat flux are defined as volume averages of their microscopic counterparts over a representative volume element (RVE) of material.
Similar(43)
The average of their guesses, however, will be almost exactly right.
However, that does not stop other US CEOs pocketing $11.7m331331 times the average of their employees.
The difference is that American controllers handle double the volume of traffic, on average, of their European counterparts.
Now teachers who retire after 25 years get only a quarter of the average of their three highest-paid years.
(For even numbers there are two middle people, but you calculate the mean average of their two wages).
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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