- #1
prize fight
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1. Homework Statement
Estimate the absolute and relative standard deviations of the following calculations. The number in parentheses is the standard deviation of the preceding value.
a) z=5.64(s=0.14)*log(138)(s=3)
2. Homework Equations
Sx/x =SQRT((Sp/P)2+(Sq/q)2+(Sr/R)2
Sx=0.434(Sp/P)
3. The Attempt at a Solution
I thought of two ways to go about the problem I am not sure which way is correct here are both attempts:
log(138)= 2.139
Z=12.069
SZ=SQRT((0.14/5.64)2+(3.0/2.139)2)=1.40
Z=12.07 LaTeX Code: \\pm 1.40
RSD=(1.4/12.07)*100 =11.6%
Or my other attempt:
Z=12.07
(0.14/5.64)2+(0.434*(3.0/138))=0.01
Z=12.07LaTeX Code: \\pm 0.01
RSD=(0.01/12.07)*100=0.08%
Are either of these ways correct? Any help would be appreciated. Thanks.
Estimate the absolute and relative standard deviations of the following calculations. The number in parentheses is the standard deviation of the preceding value.
a) z=5.64(s=0.14)*log(138)(s=3)
2. Homework Equations
Sx/x =SQRT((Sp/P)2+(Sq/q)2+(Sr/R)2
Sx=0.434(Sp/P)
3. The Attempt at a Solution
I thought of two ways to go about the problem I am not sure which way is correct here are both attempts:
log(138)= 2.139
Z=12.069
SZ=SQRT((0.14/5.64)2+(3.0/2.139)2)=1.40
Z=12.07 LaTeX Code: \\pm 1.40
RSD=(1.4/12.07)*100 =11.6%
Or my other attempt:
Z=12.07
(0.14/5.64)2+(0.434*(3.0/138))=0.01
Z=12.07LaTeX Code: \\pm 0.01
RSD=(0.01/12.07)*100=0.08%
Are either of these ways correct? Any help would be appreciated. Thanks.