Percent difference and uncertainty

In summary, the conversation discusses how to solve a problem involving percent difference and uncertainty. The equation for percent difference is mentioned, and the suggested method for solving the problem involves adding uncertainties and converting them into percentages.
  • #1
mike2601
1
0

Homework Statement



How do we solve this problem?
% Difference = (l 0.282 +/- 0.0019 - 0.288 +/- 0.04 l) / 0.285 +/- 0.02

Homework Equations


Percent Difference = (l value - average value l) / average value x 100%

The Attempt at a Solution



many attempts made but cannot get correct uncertainty for the answer
 
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  • #2
Welcome to PF, Mike.
You are supposed to show your attempt(s) so we have some idea what method you are supposed to use, and to avoid giving solutions to people who haven't tried the problem on their own.

For the subtraction, I would add the uncertainties.
For the division, I would convert the uncertainties into per cents of the main values, add the per cents, and finally find that % of the main value.
 

What is percent difference and uncertainty?

Percent difference and uncertainty are measures used in scientific experiments to evaluate the reliability and accuracy of data. Percent difference compares two values and expresses the difference as a percentage of the average value. Uncertainty measures the range of possible values for a particular measurement.

How is percent difference calculated?

Percent difference is calculated by taking the absolute value of the difference between two values, dividing that by the average of the two values, and then multiplying by 100 to express the difference as a percentage.

Why is percent difference important in scientific experiments?

Percent difference helps scientists determine the reliability and consistency of their data. If the percent difference is low, it means that the data is consistent and accurate. On the other hand, a high percent difference may indicate errors or inconsistencies in the data.

What factors contribute to uncertainty in scientific measurements?

Uncertainty in scientific measurements can be caused by a variety of factors, such as limitations of the measuring instrument, human error, or natural variations in the environment. It is important for scientists to understand and account for these factors in their experiments to reduce uncertainty.

How can scientists reduce uncertainty in their experiments?

Scientists can reduce uncertainty in their experiments by using more precise and accurate measuring instruments, performing multiple trials, and controlling for external factors. It is also important to carefully document and analyze data to identify and address any sources of uncertainty.

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