Uncertainty in Sound Recorder Measurements: Finding the Average and Range

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The discussion revolves around calculating uncertainty in sound recorder measurements for a lab report. The user is confused about the method of finding uncertainty using the formula (max + min) / 2, which yields an unreasonably high value. They also explore using (max - min) / 2, resulting in a more reasonable uncertainty of ±5. It is suggested that for a more accurate measure of spread, standard deviation should be used if more data is available. The final presentation of results should include the average value along with the calculated uncertainty.
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Homework Statement



I have this lab report due to tomorrow, but I'm stuck in this problem. My teacher asked me to find the uncertainty for the values, max+min/2. But, i get a huge number, how can that be the uncertainty?

Homework Equations



1- 154g 110 115 120
2- 208g 116 117 117
3- 137g 107 108 107
4- 145g 119 119 118
5- 155g 118 117 117
6- 149g 115 115 115

Those are my results for my experiment. 1,2,3 etc represent the blocks, and the numbers are the recording in decibel (dbl) sound recorder.


The Attempt at a Solution



If I do it according to her. Max+min/2 i should get for nr1. 120+110/2=115 ? is that ±115? How can that be the uncertainty? I also attempted to do Max-min/2 for nr1= 120-110/2= 5 so is that ±5?
 
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max+min/2
should be (max - min)/2
This is a rough calculation of the spread in the data.
If you had more data, it would be worth doing the standard deviation, a more sophisticated measure of the spread in the data.
 
So how do i present this uncertainty? +- (answer here) or?
 
Yes, you would state the best value (the average) plus or minus the uncertainty.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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