Gaussian distribution
- noun
- /ˈɡaʊsɪən dɪstrɪˈbjuːʃən/
- Specialized
- 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.
- 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
A bell-shaped curve where most values are near the average
A bell-shaped curve used in statistics to show how values spread
A bell-shaped curve the same on both sides that shows how values are near the average
A bell-shaped line that shows most numbers near the middle and fewer far from it
A smooth bell-shaped curve that shows how values spread around the average
Surface Forms
Morphology
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.