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Deviation of the data from these model predictions was identified as observation error.
The standard deviation of the data is less than 27%.
where ci is the mass fraction of Cl (or S), m is the global arithmetic mean mass fraction, sm,i is the numerical uncertainty of ci, and s is the standard deviation of the data.
Considering data and errors vectorially (see Methods), the length of each vector equals, after centering and up to a constant factor, the standard deviation of the data or error.
The standard deviation of the data increases up to 0.23 for intermediate seasons, up to 0.22 for equinox, and up to 0.40 for the winter hemisphere.
The parameters of the nonlinear models fitted to the data (EIt and lt in equation (6)) have a certain standard error as a result of deviation of the data from the fitted model, which are established by the fitting tool by determining the covariance of the fit parameters.
The error bars indicate the standard deviation of the data.
The standard deviation of the data error e for the optimal model is about 12 cm.
In all figures, the reported error bars represent the standard deviation of the data.
The range is rescaled by dividing the range by the standard deviation of the data.
We also mark the standard deviation of the data points with respect to the perfect match line (dashed line).
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