The difference between Average and Medium

Average as a noun (mathematics):

The arithmetic mean.

Average as a noun (statistics):

Any measure of central tendency, especially any mean, the median, or the mode.

Average as a noun (legal, marine):

Financial loss due to damage to transported goods; compensation for damage or loss.

Average as a noun:

Customs duty or similar charge payable on transported goods.

Average as a noun:

Proportional or equitable distribution of financial expense.

Average as a noun (sports):

An indication of a player's ability calculated from his scoring record, etc.

Average as a noun (UK, in the plural):

In the corn trade, the medial price of the several kinds of grain in the principal corn markets.

Average as an adjective (not comparable):

Constituting or relating to the average.

Average as an adjective:

Neither very good nor very bad; rated somewhere in the middle of all others in the same category.

Average as an adjective:

Typical.

Average as an adjective (informal):

Not outstanding, not good, banal; bad or poor.

Average as a verb (transitive):

To compute the average of, especially the arithmetic mean.

Average as a verb (transitive):

Over a period of time or across members of a population, to have or generate a mean value of.

Average as a verb (transitive):

To divide among a number, according to a given proportion.

Average as a verb (intransitive):

To be, generally or on average.

Average as a noun (UK, legal, obsolete):

The service that a tenant owed his lord, to be done by the animals of the tenant, such as the transportation of wheat, turf, etc.

Medium as a noun (plural '''media''' or '''mediums'''):

The chemistry of the surrounding environment, e.g. solid, liquid, gas, vacuum, or a specific substance such as a solvent.

Medium as a noun (plural '''media''' or '''mediums'''):

The materials or empty space through which signals, waves or forces pass.

Medium as a noun (plural '''media''' or '''mediums'''):

A format for communicating or presenting information.

Medium as a noun (plural '''media''' or '''mediums''', engineering):

The materials used to finish a workpiece using a mass finishing or abrasive blasting process.

Medium as a noun (plural '''media''' or '''mediums''', microbiology):

A nutrient solution for the growth of cells in vitro.

Medium as a noun (plural '''media''' or '''mediums'''):

The means, channel, or agency by which an aim is achieved.

Medium as a noun (plural '''mediums''' or '''media'''):

A liquid base which carries pigment in paint.

Medium as a noun (plural '''mediums''' or '''media''', painting):

A tool used for painting or drawing.

Medium as a noun (plural '''mediums''', spiritualism):

Someone who supposedly conveys information from the spirit world.

Medium as a noun (plural '''mediums'''):

Anything having a measurement intermediate between extremes, such as a garment or container.

Medium as a noun (plural '''mediums'''):

A person whom garments or apparel of intermediate size fit.

Medium as a noun (plural '''mediums''', Ireland, dated, informal):

A half-pint serving of Guinness (or other stout in some regions).

Medium as a noun:

A middle place or degree.

Medium as a noun (dated):

An average; sometimes the mathematical mean.

Medium as a noun (logic):

The mean or middle term of a syllogism, that by which the extremes are brought into connection.

Medium as an adjective (obsolete):

Arithmetically average.

Medium as an adjective:

Of intermediate size, degree, amount etc.

Medium as an adjective:

Of meat, cooked to a point greater than rare but less than well done; typically, so the meat is still red in the centre.

Medium as an adverb:

to a medium extent