with given data I need help to find the standard deviation on both charts, and finding the volume of cyilender with the error % and standard deviation at the bottom of page, thank you! Deviation( )Deviation( )Height( )|Xr-mean|Diameter( )|x-mean|0.065680.065680.12265.680.122300.122300.12155265.980.065530.065663365.5365.66Mean( )= 0.12214Mean( )=o )=% error= 0.06%65.71Mean-0.06564% error= 0.41 %Think about potential errors by observing the pictures for example, were all diametersmeasured at the same place for coin, soda-like can etc. and decide whether the resulting error israndom or systematic.• Record your results in meters, if you want to simplify your volume calculations.Then calculate the volume of a right eireular eylinder, using:nd?hV = m?h:4where d is the mean diameter and h is the mean height.Error AnalysisNote that to calculate the percent error in volume, you must add twice the percent error inthe diameter to the percent error in height, that is:% error in V = 2 x % error in diameter + % error in heightTo find the standard deviation associated with the volume you must multiply the percent errorin the volume times the mean value of the volume and divide the result by 100, that is,%errorx I100Also, it is best to use scientific notation to express your results in the form:V = 4.01+0.05x10-4 m³ (1%).Volume of Cylinder=% Error=Ov=2.

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Description: with given data I need help to find the standard deviation on both charts, and finding the volume of cyilender with the error % and standard deviation at the bottom of page, thank you! Deviation( )Deviation( )Height( )|Xr-mean|Diameter( )|x-mean|0.06

Mean of any dataset is the average value of the data which is computed by dividing the sum of the…

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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with given data I need help to find the standard deviation on both charts, and finding the volume of cyilender with the error % and standard deviation at the bottom of page, thank you!

Deviation( )
Deviation( )
Height( )
|Xr-mean|
Diameter( )
|x-mean|
0.06568
0.06568
0.122
65.68
0.12230
0.12230
0.12155
2
65.98
0.06553
0.06566
3
3
65.53
65.66
Mean( )= 0.12214
Mean( )=
o )=
% error= 0.06%
65.71
Mean-0.06564
% error= 0.41 %
Think about potential errors by observing the pictures for example, were all diameters
measured at the same place for coin, soda-like can etc. and decide whether the resulting error is
random or systematic.
• Record your results in meters, if you want to simplify your volume calculations.
Then calculate the volume of a right eireular eylinder, using:
nd?h
V = m?h:
4
where d is the mean diameter and h is the mean height.
Error Analysis
Note that to calculate the percent error in volume, you must add twice the percent error in
the diameter to the percent error in height, that is:
% error in V = 2 x % error in diameter + % error in height
To find the standard deviation associated with the volume you must multiply the percent error
in the volume times the mean value of the volume and divide the result by 100, that is,
%errorx I
100
Also, it is best to use scientific notation to express your results in the form:
V = 4.01+0.05x10-4 m³ (1%).
Volume of Cylinder=
% Error=
Ov=
2.

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