Properties of Gaussian Curves
المؤلف:
D. A. Skoog, F. J.Holler, D M. West, and S. R. Crouch
المصدر:
Fundamentals of Analytical Chemistry
الجزء والصفحة:
9th. p 99
26-4-2017
2125
Properties of Gaussian Curves
Figure 1.1 shows two Gaussian curves in which we plot the relative frequency y of various deviations from the mean versus the deviation from the mean.
Figure 1.1 Normal error curves. The standard deviation for curve B is twice that for curve A, that is, σB = 2σA. In (a) the abscissa is the deviation from the mean (x – m) in the units of measurement.
As shown in curves such as these can be described by an equation that contains just two parameters, the population mean μ and the population standard deviation σ.
The term parameter refers to quantities such as μ and σ that define a population or distribution. Data values such as x are variables. The term statistic refers to an estimate of a parameter that is made from a sample of data as discussed below. The sample mean and the sample standard deviation are examples of statistics that estimate parameters m and s respectively.
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