.c. The relative deviation (d,) of a measurement or experimental data is the deviation divided by the mean. The relative deviation may be expressed in percent. d, = r100 = |x;-x -x100 The relative deviation may also be expressed in parts per thousand or ppt (by changing the factor 100 to 1000) or in terms of parts per million or ppm (by changing the factor 100 to 1,000,000). The choice of factor to use depends on the magnitude of the ratio. The relative deviation (ppt) of 17.29% Cu is d. The standard deviation, s, measures how closely the data are clustered about the mean. The smaller the standard deviation, the more closely the data are clustered about the mean, the more precise is the measurement. For a finite number of measurements, the standard deviation, s is " d? S = || (n-1) (n-1) IMPORTANT: The average and the standard deviation should end at the same decimal place. The standard deviation, s, of the results of the %Cu present in the metal alloy is

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
ChapterA: Scientific Notation And Experimental Error
Section: Chapter Questions
Problem 8P
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The results of the analysis of a metal alloy were reported in terms of percent Cu (%Cu). The values obtained are 17.34%, 17.33%, 17.28%, 17.29%, 17.36%.

.c. The relative deviation (d,) of a measurement or experimental data is the deviation divided by
the mean. The relative deviation may be expressed in percent.
d, = 4x100 =
|x;-x
x100
%3D
The relative deviation may also be expressed in parts per thousand or ppt (by changing the factor
100 to 1000) or in terms of parts per million or ppm (by changing the factor 100 to 1,000,000).
The choice of factor to use depends on the magnitude of the ratio.
The relative deviation (ppt) of 17.29% Cu is
d. The standard deviation, s, measures how closely the data are clustered about the mean. The
smaller the standard deviation, the more closely the data are clustered about the mean, the more
precise is the measurement. For a finite number of measurements, the standard deviation, s is
Σ
S =
(n-1)
V
(n–1)
IMPORTANT: The average and the standard deviation should end at the same decimal place.
The standard deviation, s, of the results of the %Cu present in the metal alloy is
Transcribed Image Text:.c. The relative deviation (d,) of a measurement or experimental data is the deviation divided by the mean. The relative deviation may be expressed in percent. d, = 4x100 = |x;-x x100 %3D The relative deviation may also be expressed in parts per thousand or ppt (by changing the factor 100 to 1000) or in terms of parts per million or ppm (by changing the factor 100 to 1,000,000). The choice of factor to use depends on the magnitude of the ratio. The relative deviation (ppt) of 17.29% Cu is d. The standard deviation, s, measures how closely the data are clustered about the mean. The smaller the standard deviation, the more closely the data are clustered about the mean, the more precise is the measurement. For a finite number of measurements, the standard deviation, s is Σ S = (n-1) V (n–1) IMPORTANT: The average and the standard deviation should end at the same decimal place. The standard deviation, s, of the results of the %Cu present in the metal alloy is
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