Calculate the uncertainty on the values of m

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    Uncertainty
In summary, when calculating the uncertainty on the values of m, it is important to consider the level of precision and accuracy in the measurement. This can be done by using the standard deviation or variance of the data, as well as factoring in any potential sources of error. Additionally, the uncertainty can be expressed as a percentage or a range of values. By accounting for uncertainty, we can better understand the reliability of our data and make more informed decisions based on the results.
  • #1
blueyellow

Homework Statement



m
7.29
7.31
7.3
7.31
7.27
7.28
7.31
7.29
7.28
7.27
7.26
7.3
87.47
mean 7.289166667

using the values in the table calculate the uncertainties on the mean values of m

The Attempt at a Solution



I thought finding the difference between the different values of m and the mean value of m, adding them, and dividing by the number of values of m there are, but this doesn't seem right. Please help
 
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  • #2
They're probably looking for the Standard Error of the Mean. Take a look at the Examples section http://teacher.pas.rochester.edu/PHY_LABS/AppendixB/AppendixB.html" [Broken].
 
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What is meant by "calculate the uncertainty on the values of m"?

Calculating the uncertainty on the values of m refers to determining the range of possible values for a measured quantity based on the precision and accuracy of the measurement.

Why is it important to calculate uncertainty?

Calculating uncertainty allows for a better understanding of how reliable and precise the measured values are. It also allows for proper reporting of the results and comparison with other measurements.

What factors contribute to the uncertainty of a measurement?

The uncertainty of a measurement can be affected by various factors such as the precision and accuracy of the instruments used, the skill of the person making the measurement, and any external factors that may affect the measurement.

How is uncertainty typically expressed?

Uncertainty is usually expressed as a range of values, such as ±0.5 cm or ±2%. It can also be expressed as a percentage of the measured value, or in terms of significant figures.

How can uncertainty be minimized?

Uncertainty can be minimized by using more precise and accurate instruments, taking multiple measurements and averaging them, and minimizing external factors that may affect the measurement. It is also important to follow proper measurement techniques and guidelines.

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