Skip to main content
standard deviation

standard deviation

8 4.7
A number that shows how much values in a set vary from the average
  • noun
  • /ˈstændərd ˌdɛviˈeɪʃən/
  • Specialized
translation icon : desviación estándar
  • In statistics, the standard deviation is a key value that indicates how spread out the numbers are in a dataset.

We can compute means and standard deviations and that's fine.

Autoplay Next

Examples

  • So given a mean and a standard deviation, we have a curve.

  • In addition, means and standard deviations were calculated for each of the resulting factors.

    Academic text (2011)
  • So can anyone tell me why we use standard deviation in finance as a measure of risk?

  • Then we have the standard deviations of the returns on the three assets.

  • On average, there is a difference of about one standard deviation between the two populations.

    Academic text (1990)
  • Table 1 presents the means and standard deviations for subjects' use of each technique.

    Academic text (1999)
  • The subtests have a mean scale score of 10 and a standard deviation of 3.

    Academic text (1999)
  • For the industrial sector, a change of one standard deviation from the historical trend was emulated.

    Academic text (1999)
  • Each critical value represents a discrepancy approximately two standard deviations beyond the population mean.

    Academic text (1990)
  • So the formula for the standard deviation was the square root of NPQ.

Synonyms

sample standard deviation
vsstandard deviation
  • Specialized
6.8

A number that shows how spread out values in a sample are

is calculated from the full set and gives the true population measure

How Spread Out

variance
  • Specialized
32 7.2
standard deviation
  • Specialized
8 4.7
spread
  • Specialized
40 4.2
variation
113 3.0

Surface Forms

Morphology

standard + deviation

The compound 'standard deviation' transparently signals a notion of how much something departs from a standard or norm, so a learner who knows 'standard' and 'deviation' can guess it relates to variation from a typical value. However, the precise statistical sense (a specific numeric measure tied to the mean and the square root of variance) is technical and not fully predictable from the constituents alone, making the expression only partially inferable.

Etymology

Standard deviation comes from a simple picture: imagine a line that shows the average and numbers as people standing near or far from that line. The word deviation shows how far they move away from the standard, meaning the 'average', so the term tells you how much the data 'deviate' from that 'standard'.