Quality Digest, March 5, 2018


Figure 10:  Eight Points Shifted Out into the Tails



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DJW328.Mar.18.The Empirical Rule

Figure 10:  Eight Points Shifted Out into the Tails

If we now moved an additional ten points into the tails by placing two points at ± 1.7, two

points at ± 1.6, two points at ± 1.5, and four points at ± 1.4, the standard deviation would jump

up to 1.069.  To compensate for these ten points we would have to shift an additional eighteen

points into the middle by placing six points at ± 0.4, six points at ± 0.5, four points at ± 0.6, and

two points at ±0.7 to get the standard deviation back down to 1.005 as seen in Figure 11.

 

–3

–2



–1

0

1



2

3

s = 1.005



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