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The deviations of the data measured from that inspected by using a microscope are no more than 0.0061 mm.
Although a single scaling factor (E2) explains much of the variability in the data there are systematic sources of variance in the residuals (i.e., deviations of the data from the best fitting functions).
The standard deviation is calculated from all of the individual deviations of the data points.To see what was going on, Dr Hansen superimposed the actual curves for each decade from the fifties to the noughties on a normal distribution, which acted as a reference curve.
We further examine the percent standard relative deviations of the data from their respective medians.
Standard statistical methods were used to calculate the means and standard deviations of the data.
The mean and standard deviations of the data collected were calculated using SPSS 17.0 software (SPSS Incorporated, Chicago, Illinois, USA).
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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%.
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.
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.
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.
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