Find the sensitivity and accuracy of electronic weighing scales?

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SUMMARY

To determine the sensitivity and accuracy of electronic weighing scales, one must conduct a series of measurements using an object of known weight. The sensitivity is quantified by the standard deviation of these measurements, while accuracy is assessed by averaging the differences between the mean measurement and the actual weight over multiple trials. The formulas used are: mean weight \(\bar W = \frac{\sum_{i=1}^{N}W_i}{N}\) and accuracy \(accuracy = \frac{\sum_{j=1}^{M}(\frac{\bar W_j-W_0}{W_0})}{M}\). Variability in results can arise from experimental conditions and weight magnitudes, necessitating a bootstrap technique for more rigorous statistical analysis.

PREREQUISITES
  • Understanding of statistical concepts such as mean and standard deviation
  • Familiarity with electronic weighing scales and their specifications
  • Basic knowledge of experimental design and measurement techniques
  • Experience with bootstrap methods for statistical analysis
NEXT STEPS
  • Research the statistical properties of electronic weighing scales
  • Learn about bootstrap techniques for estimating accuracy and sensitivity
  • Explore the impact of environmental factors on weighing accuracy
  • Investigate different models of electronic scales and their specifications
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Researchers, quality control analysts, and engineers involved in precision measurement and calibration of electronic weighing scales.

g33n13
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How would I find the sensitivity and accuracy of electronic weighing scales?
 
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Do a web search on the manufacturer and model number?
 
g33n13 said:
How would I find the sensitivity and accuracy of electronic weighing scales?

Take an object of known weight/mass and then weigh it with the scale N times. You can then get a mean and standard deviation of the weight measurements, Wi:

\bar W=\frac{\sum_{i=1}^{N}W_i}{N}

\sigma=\sqrt{\sum_{i=1}^{N}\frac{(W_i-\bar W)^2}{N-1}}

If I'm understanding what you mean by sensitivity and accuracy, then the sensitivity is the spread in the measurements, \sigma. To get the accuracy, you would have to perform the same experiment many times (let's say M times) with different weights and find the average value of the difference between the mean measurement and the actual value:

accuracy = \frac{\sum_{j=1}^{M}(\frac{\bar W_j-W_0}{W_0})}{M}

If this is supposed to be a simple experiment, you can ignore what I'm about to say.

These things will likely depend on many variables, so the results you get will depend upon the conditions in which you perform the experiment and the magnitudes of the weights you use. Really, what should be computed is the sensitivity and accuracy as a function of actual weight. Also, there's no reason to assume a priori that the distribution of errors will be gaussian, so the above should done via a bootstrap technique if more statistical rigor is required.
 

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