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Sigma

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Sigma

Sigma is a measure of probability derived from the normal distribution. A sigma of value of 1 is approximately 68%, a sigma value of 2 is approximately 95%, and a sigma value of 3 is over 99%. As sigma grows, the closer to 100% the probability becomes. (e)

Table of probability for sigma values[edit]

Sigma Probability Percentage
1 0.682689492 68.269%
2 0.954499736 95.450%
3 0.997300204 99.730%
4 0.999936658 99.994%
5 0.999999427 99.99994%
6 0.999999998 99.9999998%


6 Sigma Normal distribution.jpg
SigmaProbabilityPercentage1-Prob.
0.100.0796556757.966%92.034%
0.200.15851941915.852%84.148%
0.300.23582284423.582%76.418%
0.400.31084348331.084%68.916%
0.500.38292492338.292%61.708%
0.600.45149376445.149%54.851%
0.700.51607269651.607%48.393%
0.800.57628920357.629%42.371%
0.900.63187974963.188%36.812%
1.000.68268949268.269%31.731%
1.200.76986066076.986%23.014%
1.400.83848668283.849%16.151%
1.600.89040141789.040%10.960%
1.800.92813936292.814%7.186%
2.000.95449973695.450%4.550%
2.250.97555105597.555%2.445%
2.500.98758066998.758%1.242%
2.750.99404047499.404%0.596%
3.000.99730020499.730%0.270%
3.250.99884595099.885%0.115%
3.500.99953474299.953%0.047%
3.750.99982316599.982%0.018%
4.000.99993665899.994%0.006%
4.250.99997862399.998%0.002%
4.500.99999320599.999%0.001%
4.750.999997966100.000%0.000%
5.000.999999427100.000%0.000%
5.250.999999848100.000%0.000%
5.500.999999962100.000%0.000%
5.750.999999991100.000%0.000%
6.000.999999998100.000%0.000%
6.251.000000000100.000%0.000%
6.501.000000000100.000%0.000%
6.751.000000000100.000%0.000%
7.001.000000000100.000%0.000%
7.251.000000000100.000%0.000%

 (e)



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