Extracted from http://en.wikipedia.org/wiki/Standard_deviation
zσ | Percentage within CI | Percentage outside CI | Fraction outside CI |
---|---|---|---|
0.674490σ | 50% | 50% | 1 / 2 |
0.994458σ | 68% | 32% | 1 / 3.125 |
1σ | 68.2689492% | 31.7310508% | 1 / 3.1514872 |
1.281552σ | 80% | 20% | 1 / 5 |
1.644854σ | 90% | 10% | 1 / 10 |
1.959964σ | 95% | 5% | 1 / 20 |
2σ | 95.4499736% | 4.5500264% | 1 / 21.977895 |
2.575829σ | 99% | 1% | 1 / 100 |
3σ | 99.7300204% | 0.2699796% | 1 / 370.398 |
3.290527σ | 99.9% | 0.1% | 1 / 1,000 |
3.890592σ | 99.99% | 0.01% | 1 / 10,000 |
4σ | 99.993666% | 0.006334% | 1 / 15,787 |
4.417173σ | 99.999% | 0.001% | 1 / 100,000 |
4.891638σ | 99.9999% | 0.0001% | 1 / 1,000,000 |
5σ | 99.9999426697% | 0.0000573303% | 1 / 1,744,278 |
5.326724σ | 99.99999% | 0.00001% | 1 / 10,000,000 |
5.730729σ | 99.999999% | 0.000001% | 1 / 100,000,000 |
6σ | 99.9999998027% | 0.0000001973% | 1 / 506,797,346 |
6.109410σ | 99.9999999% | 0.0000001% | 1 / 1,000,000,000 |
6.466951σ | 99.99999999% | 0.00000001% | 1 / 10,000,000,000 |
6.806502σ | 99.999999999% | 0.000000001% | 1 / 100,000,000,000 |
7σ | 99.9999999997440% | 0.0000000002560% | 1 / 390,682,215,445 |