IPBWiki/BasicStatistics
From MediaWiki
Gaussian distribution
- Mean
- Median
- The value chosen such that half of the observations are smaller and half are greater than this value.
- Mode
- The most frequently occurring value.
- Variance
- Standard Deviation (rms/sigma) and standard error (error bars)
* 68.2% of the points are within +/-1σ * 95.4% of the points are within +/-2σ * 99.7% of the points are within +/-3σ
Deviations from the Gaussianity
- Skewness
- Kurtosis
Kurtosis excess = Kurtosis - 3 # To assign the value zero to a normal distribution.
Gaussian being symmetric with respect to the mean, has a skewness of zero.