Table 1 Trial Angle Hanging Moving Calculated [deg.] mass mass [kg] [kg] Table 2 Trial acceleration Angle Hanging Moving [degrees] mass mass Calculated acceleration [kg] [kg] 1 3° 0.02746 0.07231 6.9686 m/s² kg kg 2 3° 0.02923 0.07408 6.8892 m/s² 2 kg kg 3 3° 0.02924 0.07409 6.8887 m/s² 3 kg kg Table 3 6º 6º 6º Trial Angle Hanging [degrees] mass [kg] Moving mass [kg] Calculated acceleration 1 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 2 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 3 9° 0.03301 kg 0.07786 kg 6.2978 m/s² Statistical Analysis 0.03116 0.07601 6.6593 m/s² kg kg kg 0.03482 0.07967 kg 6.5145 m/s² 0.03482 0.07967 kg kg 6.5145 m/s² Angle Mean acceleration, Standard Deviation, σ 95% Margin of Error а (Confidence Level) First 6.9155 m/s² Second 6.5628 m/s² Third 6.3978 m/s2

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Chapter1: A Physics Toolkit
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Please help show how to find the standard deviation and margin of error.  Please explain what they mean.  Thanks!

Table 1
Trial
Angle
Hanging Moving Calculated
[deg.]
mass
mass
[kg]
[kg]
Table 2
Trial
acceleration
Angle Hanging Moving
[degrees] mass mass
Calculated
acceleration
[kg]
[kg]
1
3°
0.02746 0.07231
6.9686 m/s²
kg
kg
2
3°
0.02923 0.07408
6.8892 m/s²
2
kg
kg
3
3°
0.02924
0.07409
6.8887 m/s²
3
kg
kg
Table 3
6º
6º
6º
Trial
Angle
Hanging
[degrees]
mass [kg]
Moving
mass [kg]
Calculated
acceleration
1
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
2
9°
0.03301 kg
0.07786 kg
6.3978 m/s²
3
9°
0.03301 kg
0.07786 kg
6.2978 m/s²
Statistical Analysis
0.03116 0.07601
6.6593 m/s²
kg
kg
kg
0.03482 0.07967
kg
6.5145 m/s²
0.03482 0.07967
kg
kg
6.5145 m/s²
Angle
Mean acceleration, Standard Deviation, σ
95% Margin of Error
а
(Confidence Level)
First
6.9155 m/s²
Second
6.5628 m/s²
Third
6.3978 m/s2
Transcribed Image Text:Table 1 Trial Angle Hanging Moving Calculated [deg.] mass mass [kg] [kg] Table 2 Trial acceleration Angle Hanging Moving [degrees] mass mass Calculated acceleration [kg] [kg] 1 3° 0.02746 0.07231 6.9686 m/s² kg kg 2 3° 0.02923 0.07408 6.8892 m/s² 2 kg kg 3 3° 0.02924 0.07409 6.8887 m/s² 3 kg kg Table 3 6º 6º 6º Trial Angle Hanging [degrees] mass [kg] Moving mass [kg] Calculated acceleration 1 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 2 9° 0.03301 kg 0.07786 kg 6.3978 m/s² 3 9° 0.03301 kg 0.07786 kg 6.2978 m/s² Statistical Analysis 0.03116 0.07601 6.6593 m/s² kg kg kg 0.03482 0.07967 kg 6.5145 m/s² 0.03482 0.07967 kg kg 6.5145 m/s² Angle Mean acceleration, Standard Deviation, σ 95% Margin of Error а (Confidence Level) First 6.9155 m/s² Second 6.5628 m/s² Third 6.3978 m/s2
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