Standard Score - Standardizing in Mathematical Statistics

Standardizing in Mathematical Statistics

Further information: Normalization (statistics)

In mathematical statistics, a random variable X is standardized by subtracting its expected value and dividing the difference by its standard deviation

If the random variable under consideration is the sample mean of a random sample of X:

then the standardized version is

See normalization (statistics) for other forms of normalization.

Read more about this topic:  Standard Score

Famous quotes containing the words mathematical and/or statistics:

    As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.
    Blaise Pascal (1623–1662)

    Maybe a nation that consumes as much booze and dope as we do and has our kind of divorce statistics should pipe down about “character issues.” Either that or just go ahead and determine the presidency with three-legged races and pie-eating contests. It would make better TV.
    —P.J. (Patrick Jake)