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The phrase "a median" is correct and usable in written English.
It can be used in contexts related to statistics, mathematics, or discussions about central tendencies. Example: "To find the average income of the group, we need to calculate a median." Alternatives: "the midpoint" or "the average value."
Exact(58)
A) Median of species median growth rates (mm · y−1).
A median is a curious hangout, though.
They included Coney Island, with a median of $14,908.
Women had a median of four male sex partners.
Next was Oldham, with a median price of £95,000.
He faced a median survival of eight months.
Bay Ridge was next with a median rent of $975.
Its readers are overwhelmingly women, with a median age of 42.7 and a median annual household income of $65,320.
A family with a median income could no longer afford a median-income house on one salary".
Installers earn a median pay of $21 per hour, the foundation says, while factory assemblers earn a median of $18 per hour.
In the mid-1990's, a median income allowed the purchase of nearly a median-priced house, according to Economy.com, a consulting firm in West Chester, Pa.
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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