The Oxford Dictionary describes the word Medium as:
1An agency or means of doing something.
‘using the latest technology as a medium for job creation’
‘their primitive valuables acted as a medium of exchange’
1.1 A means by which something is communicated or expressed.
‘here the Welsh language is the medium of instruction’
2The intervening substance through which sensory impressions are conveyed or physical forces are transmitted.
‘radio communication needs no physical medium between the two stations’
2.1 The substance in which an organism lives or is cultured.
‘these cells are grown in a nutrient-rich medium’
2.2 A liquid (e.g. oil or water) with which pigments are mixed, with a binder, to make paint.
3A particular form of storage material for computer files, such as magnetic tape or discs.
4The material or form used by an artist, composer, or writer.
‘oil paint is the most popular medium for glazing’
5A person claiming to be in contact with the spirits of the dead and to communicate between the dead and the living.
6The middle quality or state between two extremes; a reasonable balance.
‘there is a medium between being modest and boastful’
It describes Median as
1attributive Denoting or relating to a value or quantity lying at the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.
‘the median duration of this treatment was four months’
1.1 Denoting the middle term (or mean of the middle two terms) of a series arranged in order of magnitude. For example, the median number of the series 55, 62, 76, 85, 93 is 76.
technical attributive Situated in the middle, especially of the body.
‘the median part of the sternum’
1The median value of a range of values.
‘acreages ranged from one to fifty-two with a median of twenty-four’
2North American The strip of land between the carriageways of a motorway or other major road; a central reservation.
A straight line drawn from any vertex of a triangle to the middle of the opposite side.
In short, a Medium is a go between, it bounces between one and the other, acts as the instrument or vessel. A Median bridges the gap. It makes the connection between the two fluid and whole.
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