Quality Digest, March 5, 2018


Figure 9:  Two Points Shifted Out into the Tails



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DJW328.Mar.18.The Empirical Rule

Figure 9:  Two Points Shifted Out into the Tails

If we now moved an additional six points into the tails by placing two points at ± 2.2, two

points at ± 2.0, and two points at ± 1.8, the standard deviation would jump up to 1.092.  To

compensate for these six points we would have to shift twenty points into the middle by placing

two points at ± 0.1, eight points at ± 0.2, eight points at ± 0.3, and two points at ± 0.6 to get the

standard deviation back down to 1.004 as seen in Figure 10.




Donald J. Wheeler

The Empirical Rule

www.spcpress.com/pdf/DJW328.pdf

7

March 2018



 

–3

–2



–1

0

1



2

3

8 points were



 moved out

into the


tails

so 32 points 

had to move

into the


center

to keep the standard

deviation about

the same:

s = 1.004


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