IPBWiki/BasicStatistics

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(Gaussian distribution)
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== Gaussian distribution ==
== Gaussian distribution ==
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; Mean: <math>\bar{x}=\frac{1}{N} \sum x_i</math>
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; Mean: <math>\bar{x}=\frac{1}{N} \sum x_i</math>
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; Median: ''The individual value from the collection such that 1/2 the observations are less and 1/2 are greater''
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; Median: ''The individual value from the collection such that 1/2 the observations are less and 1/2 are greater''
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; Mode: ''The most frequently occurring value.''
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; Mode: ''The most frequently occurring value.''
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; Variance: <math>\sigma_x^2 = \frac{1}{N-1} \sum (x_i - \bar{x})^2</math>
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; Variance: <math>\sigma_x^2 = \frac{1}{N-1} \sum (x_i - \bar{x})^2</math>
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; Standard Deviation (rms/sigma): <math>\sigma_x = \sqrt{\frac{1}{N-1} \sum (x_i - \bar{x})^2}</math>
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; Standard Deviation (rms/sigma): <math>\sigma_x = \sqrt{\frac{1}{N-1} \sum (x_i - \bar{x})^2}</math>

Revision as of 17:01, 2 February 2011

Gaussian distribution

; Mean: \bar{x}=\frac{1}{N} \sum x_i
; Median: The individual value from the collection such that 1/2 the observations are less and 1/2 are greater
; Mode: The most frequently occurring value.
; Variance: \sigma_x^2 = \frac{1}{N-1} \sum (x_i - \bar{x})^2
; Standard Deviation (rms/sigma): \sigma_x = \sqrt{\frac{1}{N-1} \sum (x_i - \bar{x})^2}
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