In: Statistics and Probability
The True values, measured values and the error in measurements (true value - measured value) are,
True Value | Measue Value | Error |
0.028 | 0.028 | 0 |
0.1 | 0.0995 | 0.0005 |
0.25 | 0.2505 | 0.0005 |
0.5 | 0.5 | 0.000 |
1 | 0.9995 | 0.0005 |
Note: The error terms always reads positive for calculation of uncertainity
The mean of errors is,
The standard deviation is,
The uncertainity in measurement can be define by standard deviation of error term which is called standard uncertainity or uncertainity at standard deviation. For one standard deviation 68% error term will fall in the range of uncertainity,