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Basic Stats Power Point Slide

  • Specification limit

  • 2.5, upper: , lower:

  • 3.5, upper: , lower:

  • 4, upper: , lower:

  • Standard Deviation/Range

  • 1,2,3,4,5

  • Range: 4 âˆšâˆ‘(xi-u)^2/4

  • √∑(1-3)^2+(2-3)^2+(3-3)^2+(4-3)^2+(5-3)^2

    √∑(4)+(1)+(0)+(1)+(4)

    √10= 3.2/4= .8

  • 3,4,5,6,7

    Range: 4

    √∑(xi-u)^2/4

    √∑(3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2

    √∑(4)+(1)+(0)+(1)+(4)

    √10 = 3.2/4= .8

  • 3,6,9,12,15,18

    Range: 15

    √∑(xi-u)^2/5

    √∑(3-10.5)^2+(6-10.5)^2+(9-10.5)^2+(12-10.5)^2+(15-10.5)^2+(18-10.5)^2

    √∑(56.25)+(20.25)+(2.25)+(2.25)+(20.25)+(56.25)

    √157.5= 12.5/5= 2.5

  • 5,8,11,14,17,20

    Range: 15

    √∑(xi-u)^2/5

    √∑(5-12.5)^2+(8-12.5)^2+(11-12.5)^2+(14-12.5)^2+(17-12.5)^2+(20-12.5)^2

    √∑(56.25)+(20.25)+(2.25)+(2.25)+(56.25)

    √157.5= 12.5/5= 2.5

  • 1,2,3,4,5,6,7,8,9,10

    Range: 9

    √∑(xi-u)^2/9

    √∑(1-4.5)^2+(2-4.5)^2+(3-4.5)^2+(4-4.5)^2+(5-4.5)^2+(6-4.5)^2+(7-4.5)^2+(8-4.5)^2+(9-4.5)^2+(10-4.5)^2

    √∑(12.25)+(6.25)+(2.25)+(.25)+(.25)(2.25)+(6.25)+(12.25)+(20.25)+(30.25)

    √92.5= 9.6/9= 1.1

  • 3,6,20,22,25,101

    Range: 98

    √∑(xi-u)^2/5

    √∑(3-29.5)^2+(6-29.5)^2+(22-29.5)^2(25-29.5)^2+(101-29.5)^2

    √∑(702.25)+(552.25)+(56.25)(20.25)+(5112.25)

    √6443.25= 80.3/5= 16.1

  • 5,9,10,13,14,22,34

    Range: 29

    √∑(xi-u)^2/6

    √∑(5-15.3)^2+(9-15.3)^2+(10-15.3)^2+(13-15.3)^2+(14-15.3)+(22-15.3)^2+(34-15.3)^2

    √∑(106.09)+(39.69)+(28.09)+(5.29)+(44.89)+(349.69)

    √573.74= 23.95/6= about 4

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