The following is the textbook definition:
Precision
It is how reproducible a measurement is compare to other similar measurements.
Accuracy
It is how close the measurement (or average measurement) comes to the accepted or real value.
Measurement and Uncertainty
- There are no measurment that is excact because every measurement is a best estimation with margins of error.
- Despite of have the best estimation, for example, there are 39 cars in a parking lot is an exact number because it's a set of objects.
Absolute Uncertainty
A measurement of the uncertainty which is expressed in units. There are 2 methods to find it:
Method 1: Make at least 3 measurements and calculate the average. In the other hand, the absolute uncertanty is the largest difference between the average and the lowest or highest reasonable measurement.
- For example: when calculating the avery of a few data eliminate the unreasonable data first:
- 59 The average is 59
- 60 I have eliminated 53 because it is a absolute uncertainty.
- 58
- 53
- 59
Method 2: Determine the uncertainty of each instrument
- When you are making a measurement, make sure you measure the best estimation you can (precision). In some real practices, you should estimate whatever the smallest segment that is possible on a instrument scale.
- For exmple, our rulers have the smallest scale as 1 mm, so that the best precision should break down to 0.1 mm. When you are measuring a thing, you need to see more carefully and precisely to be certain of the 0.1 mm differences.
Relative Uncertainty and Significant Figures
Relative Absolute uncertainty
uncertainty =--------------------------------------
Estimated measurement
That's about what we have learnt today.
Kevin Wang