Optimizing Error Calculations for Coursework

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Homework Help Overview

The discussion revolves around error calculations in the context of coursework, specifically focusing on how to estimate random error and the use of standard deviation in measurements.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the appropriateness of using the mean of repeated measurements and the implications of standard deviation as a measure of uncertainty. Questions are raised about how to express error in measurements, particularly in relation to significant figures.

Discussion Status

Some participants have offered guidance on using the average and standard deviation for error estimation, while others are exploring the nuances of expressing measurement error. There appears to be a productive exchange of ideas regarding the interpretation of measurement precision.

Contextual Notes

Participants are navigating the constraints of measurement precision and the expectations set by coursework guidelines, including the significance of decimal places in reporting error.

blackcat
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for my coursework I'm meant to do error calculations.

say i measured a distance between two things five times and got these results:

0.104
0.104
0.104
0.108
0.108

now I've got to use this distance for my calculations. would you recommend i use an average (mean)? i suppose that's a stupid question.

my teacher also says: "You would get an estimate of random error by repeating results enough times to get a standard deviation for the random error.
"

so does this mean, for my example listed above, that i would say the error is (+-) value of s.d?
 
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The standard devition is often used as an indication of the uncertainty of the measurement. You would use the average of your measurements. If the errrors are truly random, the values of a large number of measurements would be normally distributed and about 68% of the measurements would be within 1 s.d of the average.

http://www.has.vcu.edu/psy/psy101/forsyth/normal.gif
 
Last edited by a moderator:
ok.

1) I'm sorry if this sounds stupid, but say i measure a weight on a balance that measures up to 2 dp. do i say the error is (+-)0.005.
 
blackcat said:
1) I'm sorry if this sounds stupid, but say i measure a weight on a balance that measures up to 2 dp. do i say the error is (+-)0.005.
That's what I would do :wink:
 
THANK YOU!

Also thanks for your help on my other thread, I got it.
 
blackcat said:
THANK YOU!

Also thanks for your help on my other thread, I got it.
My Pleasure :smile:
 

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