The probability that a measurement will fall within a given Closed Interval . For a continuous distribution,
(1) |
(2) |
(3) |
(4) |
(5) |
range | CI |
0.6826895 | |
0.9544997 | |
0.9973002 | |
0.9999366 | |
0.9999994 |
To find the standard deviation range corresponding to a given confidence interval, solve (4) for .
(6) |
CI | range |
0.800 | ± 1.28155 |
0.900 | ± 1.64485 |
0.950 | ± 1.95996 |
0.990 | ± 2.57583 |
0.995 | ± 2.80703 |
0.999 | ± 3.29053 |
© 1996-9 Eric W. Weisstein