Find the average and uncertainty of the length of the table?

Click For Summary
SUMMARY

The discussion focuses on calculating the average length and uncertainty of a table based on two measurements: a ± b and c ± d. The average length is determined by averaging the two measurements a and c. For uncertainty, the larger of the two error values, b and d, is used to represent the overall uncertainty in the measurement. This method ensures a more conservative estimate of the table's length, accommodating the imperfections in the measurements.

PREREQUISITES
  • Understanding of basic statistical concepts such as averages and uncertainties.
  • Familiarity with measurement techniques and error analysis.
  • Knowledge of how to handle measurements with different uncertainties.
  • Basic proficiency in mathematical operations involving addition and comparison.
NEXT STEPS
  • Research methods for calculating weighted averages in measurements.
  • Learn about error propagation techniques in experimental physics.
  • Explore statistical tools for analyzing measurement uncertainties.
  • Study the principles of significant figures in measurement reporting.
USEFUL FOR

Students in physics or engineering, researchers conducting experiments, and anyone involved in precision measurement and data analysis.

Haftred
Messages
53
Reaction score
0
I have two measurements for the length of a table (the table is not perfect so it is prudent to measure it on both sides). I get a +/- b and c +/- d as the measurements. Suppose b does not equal d. How can I find the average and uncertainty of the length of the table?
 
Physics news on Phys.org
Use the larger of the 2 error values.
 
The "average" is, of course, the average of the two a and c measurements. The uncertainty is, as Integral said, the larger of the two errors.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K