How would one calculate the average for the following measurements:
1.22 +/- 0.05 1.21 +/- 0.05 1.21 +/- 0.05
I understand how to calculate the average of a set of numbers, but I don't know what do with these uncertainty values.
How would one calculate the average for the following measurements:
1.22 +/- 0.05 1.21 +/- 0.05 1.21 +/- 0.05
I understand how to calculate the average of a set of numbers, but I don't know what do with these uncertainty values.
You should use the root law (from statistics), that is the new error is the square root of the sum of the squares of the errors and divide it by 3 (number of measurements). This is analogous to the standard deviation
All you have to do is to find the average of all the primary values (Let it be x). Then you find the average of the errors given. If it is the same, let it be that number. (Like in this case, it is 0.05) (Let it be d). The Final Answer is x +/- d.