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Gaussian distribution

Gaussian distribution

1 6.7
A bell-shaped pattern that shows most values are near the average, like heights or test scores
  • noun
  • /ˈɡaʊsɪən dɪstrɪˈbjuːʃən/
  • Specialized
translation icon : distribución gaussiana
  • Using the computed mean and standard deviation, the stresses were compared with a Gaussian distribution having the same mean and standard deviation.
  • Gaussian distribution with mean

But the, the, the spread has shifted, that the Gaussian distribution has moved and moves steadily as the centuries go by.

Examples

  • IQ, for example, has a supposedly Gaussian distribution with a mean of 100 and a standard deviation of about 15.

    Blog text (26)
  • Other qualities being equal, the distribution of these pollutants follows a Gaussian distribution.

    Academic text (2000)
  • A 2-D Gaussian distribution, with the mean value of the distribution located at zero, is given by

    Academic text (1995)
  • Finally, the chi-square goodness of fit test provided an estimate of the agreement between the measured data and a Gaussian distribution.

    Academic text (1993)
  • The midpoint between the two Gaussian distributions of maximum density values was chosen to be the threshold.

    Academic text (2017)
  • And once we know the mean and the variance of the Gaussian variable, of course we can sample points from this Gaussian distribution and that's quite easy.

  • In statistics, the Gaussian distribution is commonly used to represent measurements that cluster around a mean value.

  • Many natural phenomena, such as heights of individuals, tend to follow a Gaussian distribution when plotted on a graph.

  • The heights of the students in the class approximated a Gaussian distribution, with most students around the average and fewer at the extremes.

Synonyms

normal distribution
vsGaussian distribution
  • Specialized
2 5.8

A bell-shaped curve where most values are near the average

is the alternative scientific name for the same probability distribution
Gaussian
vsGaussian distribution
  • Specialized
1 7.5

A bell-shaped curve used in statistics to show how values spread

focuses specifically on the probability law symmetric around the mean
Gaussian curve
vsGaussian distribution
  • Specialized
7.2

A bell-shaped curve the same on both sides that shows how values are near the average

is the theoretical probability distribution emphasizing frequency near the mean
normal curve
vsGaussian distribution
  • Specialized
4.6

A bell-shaped line that shows most numbers near the middle and fewer far from it

is the theoretical probability distribution describing that same clustering of values
Gaussian shape
vsGaussian distribution
  • Specialized
6.9

A smooth bell-shaped curve that shows how values spread around the average

focuses on the probability law showing more data near the mean

Surface Forms

Morphology

Gaussian + distribution

The compound is directly compositional: 'Gaussian' specifies the bell-shaped, symmetric form and 'distribution' names a frequency/probability spread, so their combination denotes a bell-shaped probability distribution. This structure is standard and mirrored in many languages (e.g. distribución gaussiana), so a learner who knows both constituent meanings would readily infer the MWE meaning.

Etymology

Gaussian distribution is named after the scientist Gauss and is often shown as a 'bell curve' with a tall middle and low sides. That's why it describes data where many values are near the average and only a few are far away.