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median (adj.)

"pertaining to or situated in the middle, occupying a middle or intermediate position," 1590s, from French médian (15c.) and directly from Latin medianus "of the middle," from medius "in the middle" (from PIE root *medhyo- "middle"). Originally anatomical, of veins, arteries, nerves; general use is by 1640s. Median strip "narrow strip (paved or not) between lanes of a divided road" is by 1939, American English.

median (n.)

1540s, "a median part," originally anatomical, from Latin medianus "of the middle" (see median (adj.)). Statistical meaning "middle number of a series" is from 1883.

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Definitions of median from WordNet
1
median (adj.)
relating to or situated in or extending toward the middle;
Synonyms: medial
median (adj.)
relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values);
the median income for the year was $15,000
the median value of 17, 20, and 36 is 20
Synonyms: average
median (adj.)
dividing an animal into right and left halves;
Synonyms: medial
2
median (n.)
the number midway between the two middle numbers in a series containing an even or odd number of items;
Synonyms: median value
From wordnet.princeton.edu