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Understanding ASQ-CQA -Knowing The Ways

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Graph of the normal distribution, which underlies the statistical assumptions of the Six Sigma<br />

model. In the centre at 0, the Greek letter µ (mu) marks the mean, with the horizontal axis<br />

showing distance from the mean, marked in standard deviations and given the letter σ (sigma).<br />

<strong>The</strong> greater the standard deviation, the greater is the spread of values encountered. For the<br />

green curve shown above, µ = 0 and σ = 1. <strong>The</strong> upper and lower specification limits (marked USL<br />

and LSL) are at a distance of 6σ from the mean. Because of the properties of the normal<br />

distribution, values lying that far away from the mean are extremely unlikely: approximately 1 in a<br />

billion too low, and the same too high. Even if the mean were to move right or left by 1.5σ at<br />

some point in the future (1.5 sigma shift, coloured red and blue), there is still a good safety<br />

cushion. This is why Six Sigma aims to have processes where the mean is at least 6σ away from<br />

the nearest specification limit.<br />

https://en.wikipedia.org/wiki/Six_Sigma<br />

Charlie Chong/ Fion Zhang

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