品管七大手法 QC 7 TOOLS

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  • QC 7 TOOLS

  • QC

    []QCQC

  • [](Plan)(Do)(Check)(Action)PDCA1. (P)2. (P)3. (D)4. (D)5. (C)6. APDCA[Spiral up] 1. 2. 3. 4. 5.

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  • QCQCQC1234

  • QC QC 1. (Graph) (Check List) (Scatter Diagram) 2. (Characteristic Diagram) 3. (Histogram) (Control Chart) 4. (Stratification) 5. 2~3 (Pareto Diagram)

  • X

    R QCQC

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  • [][][][]

  • ISO ISO 90001987(2001)14ISO ISO 9000ISO 9001 4.20ISOON LINE QCOFF LINE QC/ ISO%ISO

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  • / A/ B/ C/ D E/ F ISOQC/ISO

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  • 1 1 2 A B

  • 2 1 2 3

  • 3

    1

    2

    3

  • 1

    2

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  • 1 QC

  • 2 1 (2++++

  • 1

    2

    3

    4

    5

  • Graph

    P-D-C-A

  • 1 2

  • 1 1 2 3 (Gantt Chart) 4 5 6

  • 2

    1

    2

  • 3 12345

    4 Z

  • 1 1 234 5 67

  • 2

    1 2 3 4 5

  • 1 1 2 3 4 5 6 7

  • 2 1 2 3 4 5( ) 6 7 8 9 10

  • 3

    1 2 3 4 53

  • 1 Title 1() 2 3 2 Chart Proportions 1 2 3 4 5

  • 3 Coordinate 1 2XY 3 4XY 5 6XY 7X YY X

  • 4 Scale

    1 2 3 4 5 6

  • 5 Zero Base 1 100 2

    6 Ruling 1 2 3 4 5 6

  • 7 Lettering 1 2 3 4 5 6

  • 8

    1 2 3 4

  • 9 1

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  • 10 Source Reference 1 2 3

  • 1 1 2 A B C D 3 4

  • %%80604020020406080100100 70.4 29.6 54 46 50.5 49.536.1 63.99.5 90.536.6 63.4 53.7 46.3 43.3 56.61983%252015105022%5%77.3%835838A

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    Sheet1

    123456789101112131415

    244147.877.89585.888.490.690.6929293929499

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    Sheet1

    Sheet2

    Sheet3

    Sheet1

    123456789101112131415

    244147.877.89585.888.490.690.6929293929499

    8690939981.4959394909260929899100

    Sheet1

    Sheet2

    Sheet3

  • 3

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  • QCS55S56S56S55543210QCC

  • 4 Gann Chart 1 2 3 4 1 2

    123412341234

  • L100 L101 L105 2000 4000 3000A M110 M102 M109 5000 2000 6000B S200 S211 S210 S215 800 2500 4000 1150C

    L100L105L200L210

  • 5 Flow Chart

    A 1 2 3 4 B 1 2

  • A B[]NONONONOYESYESYESYES

  • 6

    0 10 20 30 40 50 60 70 80 90 100%

  • 30.4%

    21.9%

    9.7%

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    5.1%4.3%3.9%

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    12 3

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    12.60102030405060709080(%)100 42,224

    1978

    12 3

  • 0 20 40 60 80 100 %1976

    1978

    198040.419.19.59.59.06.45.044.143.316.220.68.99.112.09.76.95.45.46.95.06.5100%371100%460100%5971976

    1978

    1980150710 100 200 300 400 500 600(39353324192032597541553231231235458323239371460597

  • 7 1 21003.6 3 4 5 6

    A37%18%D12%C14%B19%

  • 1 2 29.1%25.3%15.3%14.1%12.8%3.4%XX29.1%25.3%15.3%14.1%12.8%3.4%12n=16848XX

    490329.1105426225.391257815.355236714.151215612.8465733.41216848100360

  • 8 Z(Z

    1 2 3

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  • 1 2

  • 1 2 3 4 5 6 7 +++

  • 1

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    (3)

    (4)

    (5)

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  • 5H1W 1 What 2 Why 3 Who 4 ? How 5 ??When 6 Where 7 8 ??

  • 1 2 3 4 Team work 5

  • 1? 2? 3? 4 5 6 7 8 9 10 11 12 13 14 15

  • 1 1-1

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  • 2-2

    0 5 10 15 20 25 30 35 40 2.02.12.22.32.42.52.62.72.82.93.03.13.2

    3310142024151085221

  • 2-3

    No 1119.5~126122.75++++52126~132.5129.25++++ ++++103132.5~139135.75++++ ++++ 124139~145.5142.25++++ ++++ ++++ ++++ ++++ ++++315145.5~152148.75++++ ++++ ++++ ++++ 236152~158.5155.25++++ ++++107158.5~165161.75++++58165~171.5168.251 97

  • 2-4B

    5/15/25/3A150341414520003000521482822113123300012

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  • 2-7847

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  • 2-8

    ? A B A B C ? 1 2 3 ____________________________________________________________________ ___________________________________________________________ ___________________________________________________________

  • 1 50.650

    (1)() (2)0.1 5

    123456789104.95.15.05.04.85.15.15.04.54.95.35.04.75.04.95.05.45.15.15.04.95.25.04.84.75.44.85.05.25.15.04.95.35.15.24.94.74.65.15.04.64.85.04.85.05.55.24.95.65.2

  • (3) 1

    5 10 15 20 25 30 354.24.34.44.54.64.74.84.95.05.15.25.35.45.55.65.75.8

  • 5 10 15 204.24.34.44.514.624.734.854.975.0135.185.255.325.425.515.615.75.850

  • (4) ()

  • Scatter Diagram)

    1 2-1 2 2-2 3 2-1 2-2YYXX

  • x-y

  • xy 1x1,y1),(x2,y2), 2xy3xyx-y 4x-y 5

    No.XY1X1Y12X2Y23X3Y34X4Y4

  • 6

    1 2

    a.YXYY+******************************************************************XX

  • b.YXYY+******************************************************************XX3

  • 1

  • 2X YXxxyyYYXX

  • 3X Y

  • 4X Y

  • 5XY

  • 6XY

  • 1

  • 2

  • power)thickness) 1 XKV Ym)

    No.XY1503.22704.731005.44804.95603.8

    No.XY6503.47905.18905.09704.510704.3

  • 2xy Xmax100 Ymax5.4 Xmin50 Ymix3.2 3X-Y

    4X-Y

    5.04.03.05.04.03.050506070809010010060708090....X=KVY=um)

  • Stratification)

    ; ;

  • 1 2 3 4 5 6

  • 7 8 9 10 11 12 13

  • 123 456

  • 1 ??

    2

    3

    4

    5

  • QC 1(

    Sheet1

    X-R CQ18405003

    QI-F-002XR8452/54 nX

    65KGS63.0810.74TP-S-001-A5

    60KGS60.15KGS5.08

    KGS55KGS57.220

    2/92/102/112/122/142/152/162/173/93/103/113/123/143/153/163/174/94/104/114/124/144/154/164/174/18AA1A2C21/C2B1B2B3B4D21/D2D3D1D2D3D4A3D5D6E2A9M3A2C3

    12345678910111213141516171819202122232425X=1503.8 R=12722.1213.7601.8800.56421.77250.0001.8430.0003.2671.1280.88650.8530.0003.6850.0003.2672.2240.0003.8652.6602.6951.8800.603

    X15659586463575957575858586258616359576258615660646131.7322.3941.0230.72361.38200.0000.8580.0002.5681.6930.59070.8880.0004.3580.0002.5751.2650.0002.7451.7721.8261.1870.463

    X26161626059646255566261616260615958596058626358596141.5001.8800.7290.79791.25330.0001.8080.0002.2662.0590.48570.8800.0004.6980.0002.2820.8290.0002.3751.4571.5220.7960.389

    X36462626059616263636060636157616360596262606160606051.3421.5960.5770.84071.18940.0001.7560.0002.0892.3260.42890.8640.0004.9180.0002.1150.7120.0002.1791.2901.3630.6910.341

    X462606256636161606058606058596256606057585961606156

    X55860646059616061616156606361615862625962646060606161.2251.4100.4830.85851.15120.0261.7110.0301.9702.5340.39460.3480.0005.0780.0002.0040.5620.0002.0551.1841.2630.5490.308

    X30130230830030330430429629729929530230629530629929929730029830630129830429971.1341.2770.4190.88821.12590.1051.5720.1181.8822.7040.36980.3330.2055.2050.0761.9240.5200.0781.9671.1091.1910.5090.282

    X60.260.461.660.060.660.860.859.259.459.859.060.461.259.061.259.859.859.460.059.661.260.259.660.859.8X=60.1581.0611.1750.3730.90271.10780.1671.6380.1851.8152.8470.35120.8200.3545.3070.1361.8640.4410.1391.9011.0541.1430.4320.262

    R8368473874555417455457255R=5.0891.0001.0940.3370.91391.09420.2191.6090.2391.7612.9700.33670.8080.5465.3940.1841.8160.4190.1871.8501.0101.1040.4120.246

    X UCL100.9491.0280.3080.92271.08370.2621.5840.2841.7163.0780.32490.7970.6875.4690.2231.7770.3690.2271.8090.9751.0720.3630.232

    n=5 A2=0.577 D4=2.115 X Chart: UCL=60.15+0.5775.08=63.08 LCL=60.15-0.5775.08=57.22 X Chart: UCL=2.1155.08=10.74 LCL=05.08=0

    CL110.9050.9730.2850.93001.07530.2991.5610.3211.6793.1730.31520.7870.8125.5340.2561.744

    120.8660.9250.2660.93591.06480.3311.5410.3541.6453.2580.30690.7780.9245.5920.2841.716

    130.8320.8840.2490.94101.06270.3591.5230.3821.6183.3360.29980.7701.0265.6460.3081.692

    LCL140.8020.8480.2350.94531.05790.3841.5070.4061.5943.4070.29350.7621.1215.6930.3291.671

    R UCL150.7750.8160.2230.94901.05370.4061.4920.4281.5723.4720.28800.7551.2075.7370.3481.652

    CL160.7500.7880.2120.95231.05010.4271.4780.4481.5523.5320.28310.7491.2855.7790.3641.636

    170.7280.7620.2030.95511.04700.4451.4650.4661.5343.5880.27870.7431.3595.8170.3791.621

    180.7070.7380.1940.95761.04420.4611.4540.4821.5183.6400.27470.7381.4265.8540.3921.608

    190.6880.7170.1870.95991.04180.4771.4430.4971.5033.6890.27110.7331.4905.8880.4041.596

    200.6710.6970.1800.96151.03960.4911.4330.5101.4903.7350.26770.7291.5485.9220.4141.586

    210.6550.6970.1730.96381.03760.5041.4240.5231.4773.7780.26470.7241.6065.9500.4251.575

    220.6400.6620.1670.96551.03580.5161.4150.5341.4663.8190.26180.7201.6595.9790.4341.566

    230.6260.6470.1620.96701.03420.5271.4070.5451.4553.8580.25920.7161.7106.0060.4431.557

    240.6120.6320.1570.96841.03270.5381.3990.5551.4453.8950.25670.7121.7596.0310.4521.548

    250.6000.6190.1530.96961.03130.5481.3920.5651.4353.9310.25440.7091.8046.0580.4591.541

    X-R

    XR /

    12345678910111213141516171819202122232425X=1505 R=127

    X156595856595759555658565858576156585757585956585956

    X258606260596160575758586061586158595959586060606060

    X361606260596161606060606062596159605960586161606061

    X462616260636162616160606162606163606062626261606161

    X564626464636462636361616363616263626262626463606461

    X

    X61606260596161606060606062596159605960586161606061X=60.2

    R8368473874555417455457255R=5.08

    X UCL

    n=5 m3A2=0.691 UCL=60.2+0.6915.08=63.71 LCL=60.2-0.5775.08=56.69 R

    CL

    LCL

    R

    P CQ58408007

    P chart8487/821

    6.70%150/4

    2.72%

    0

    7/107/158/108/159/109/1510/1010/1511/1011/1512/1012/1514/1014/1515/1015/1516/1016/1517/1017/1518/1018/1519/1019/1521/10

    12345678910111213141516171819202122232425

    1501501501501501501501501501501501501501501501501501501501501501501501501503750

    A3212112312121222141236

    B11212112111312112125

    C11211112211115

    D112111111212

    E1111111119

    F111115

    d=102

    P=2.72%

    6316465281620352914531955

    P4.02.00.74.02.74.03.31.35.30.74.01.30.02.03.31.36.00.72.73.32.00.76.03.33.3

    UCL

    LCLP=102/3750 =0.0272=2.72% UCL= P+3 P1-P/n =0.0272+30.013=0.067=6.7% LCL=0

    UCL

    CL

    Sheet1

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Sheet2

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Sheet3

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

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    0

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    0

    0

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    0

    0

    0

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    0

    0

    234678910111314

    2.51.72.11.82.221.71.911.31.1

    2.06%1.50%

  • 2

    B

    BACAC;ACSLSUSLSU

  • 31.95

    1.65

    1.35 1 3 2 3 3 2 1 2 3 2 1 3 1 2 1 3 3 3 2 2 2 1 1 1 3X

  • 0.33

    1.15

    0R

  • 2.250.90

    0.55

    0.10X

  • 0.600.450.30

    0.15

    0R

  • 4ABEDCF4525131052100 75 50 25%100n=5000 np=100 p=2.0%BCDAFEn=6000 np=70 p=1.2%100 75 50 25301410961100%ab

  • 5

  • 6YXYXYX

  • 26 ;6.50.5mmX=6.35S=0.28SLSU

    Sheet1

    X-R CQ18405003

    QI-F-002XR8452/54 nX

    65KGS63.0810.74TP-S-001-A5

    60KGS60.15KGS5.08

    KGS55KGS57.220

    2/92/102/112/122/142/152/162/173/93/103/113/123/143/153/163/174/94/104/114/124/144/154/164/174/18AA1A2C21/C2B1B2B3B4D21/D2D3D1D2D3D4A3D5D6E2A9M3A2C3

    12345678910111213141516171819202122232425X=1503.8 R=12722.1213.7601.8800.56421.77250.0001.8430.0003.2671.1280.88650.8530.0003.6850.0003.2672.2240.0003.8652.6602.6951.8800.603

    X15659586463575957575858586258616359576258615660646131.7322.3941.0230.72361.38200.0000.8580.0002.5681.6930.59070.8880.0004.3580.0002.5751.2650.0002.7451.7721.8261.1870.463

    X26161626059646255566261616260615958596058626358596141.5001.8800.7290.79791.25330.0001.8080.0002.2662.0590.48570.8800.0004.6980.0002.2820.8290.0002.3751.4571.5220.7960.389

    X36462626059616263636060636157616360596262606160606051.3421.5960.5770.84071.18940.0001.7560.0002.0892.3260.42890.8640.0004.9180.0002.1150.7120.0002.1791.2901.3630.6910.341

    X462606256636161606058606058596256606057585961606156

    X55860646059616061616156606361615862625962646060606161.2251.4100.4830.85851.15120.0261.7110.0301.9702.5340.39460.3480.0005.0780.0002.0040.5620.0002.0551.1841.2630.5490.308

    X30130230830030330430429629729929530230629530629929929730029830630129830429971.1341.2770.4190.88821.12590.1051.5720.1181.8822.7040.36980.3330.2055.2050.0761.9240.5200.0781.9671.1091.1910.5090.282

    X60.260.461.660.060.660.860.859.259.459.859.060.461.259.061.259.859.859.460.059.661.260.259.660.859.8X=60.1581.0611.1750.3730.90271.10780.1671.6380.1851.8152.8470.35120.8200.3545.3070.1361.8640.4410.1391.9011.0541.1430.4320.262

    R8368473874555417455457255R=5.0891.0001.0940.3370.91391.09420.2191.6090.2391.7612.9700.33670.8080.5465.3940.1841.8160.4190.1871.8501.0101.1040.4120.246

    X UCL100.9491.0280.3080.92271.08370.2621.5840.2841.7163.0780.32490.7970.6875.4690.2231.7770.3690.2271.8090.9751.0720.3630.232

    n=5 A2=0.577 D4=2.115 X Chart: UCL=60.15+0.5775.08=63.08 LCL=60.15-0.5775.08=57.22 X Chart: UCL=2.1155.08=10.74 LCL=05.08=0

    CL110.9050.9730.2850.93001.07530.2991.5610.3211.6793.1730.31520.7870.8125.5340.2561.744

    120.8660.9250.2660.93591.06480.3311.5410.3541.6453.2580.30690.7780.9245.5920.2841.716

    130.8320.8840.2490.94101.06270.3591.5230.3821.6183.3360.29980.7701.0265.6460.3081.692

    LCL140.8020.8480.2350.94531.05790.3841.5070.4061.5943.4070.29350.7621.1215.6930.3291.671

    R UCL150.7750.8160.2230.94901.05370.4061.4920.4281.5723.4720.28800.7551.2075.7370.3481.652

    CL160.7500.7880.2120.95231.05010.4271.4780.4481.5523.5320.28310.7491.2855.7790.3641.636

    170.7280.7620.2030.95511.04700.4451.4650.4661.5343.5880.27870.7431.3595.8170.3791.621

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  • (1) SLSU

    Sheet1

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    CL

    LCL

    R

    P CQ58408007

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    2.72%

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    UCL

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  • SLSU

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    X60.260.461.660.060.660.860.859.259.459.859.060.461.259.061.259.859.859.460.059.661.260.259.660.859.8X=60.1581.0611.1750.3730.90271.10780.1671.6380.1851.8152.8470.35120.8200.3545.3070.1361.8640.4410.1391.9011.0541.1430.4320.262

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    R

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    ;

  • 1

  • 2

    1 2 3 4 5 6 7 8 9 10

  • 3 1 2 3f ) 4R) 5h ) / 6x ) x (X-bar)

    7x 8u)

    U= ,

    Xi-X0h)X0=Xi=

  • 2499

    10mid range) 2

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    =n =h 12S

    S= n-1 = h

    9Mode)

    35791011111518241316

  • 1 1 50

  • 130160mm 60

    138142148145140141139140141138138139144138139136137137131127138137137133140130136128138132145141135131136131134136137133134132135134132134121129137132130135135134136131131139136135

  • 2L S EX: No.1 L1145 S1131 No.2 L2142 S2127 No.3 L3148 S3130 No.4 L4145 S4128 No.5 L5140 S5121 No.6 L6141 S6129

    L148 S121

    No.1No.2No.3No.4No.5No.6138142148145140141139140141138138139144138139136137137131127138137137133140130136128138132145141135131136131134136137133134132135134132134121129137132130135135134136131131139136135

  • 3R L S R ) R148-1212741 ; 2Sturges) nk k13.32log nn60 k1 3.32log 60 1 3.32log (1.78) 6.9 673

    7

    5057511006101022507122501020

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    (1 )h RK)

    (2 ) 2510 h 27/7 3.86,4

  • 61 / 2 ) 2 1 10.1 20.013 ; 121-1/2120.5124.5 124.5128.5 128.5132.5 132.5136.5 136.5140.5 140.5144.5 144.5148.5

  • 7 / 2 (120.5 124.5)/2122.5(124.5 128.5) /2126.5(128.5 132.5) /2130.5(132.5 136.5) /2134.5 (136.5 140.5) /2138.5 (140.5 144.5) /2142.5 (144.5 148.5) /2146.5

  • 8 1 2;

    1120.5124.5122.5/12124.5128.5126.5//23128.5132.5130.5//// //// //124132.5136.5134.5//// //// //// ///185136.5140.5138.5//// //// //// ///196140.5144.5142.5////57144.5148.5146.5///3 60

  • 9

    1 2 3; 4 nx 5

  • 1 s 260 n60 x135.8 4.68 s4,722015105120.5 124.5 128.5 132.5 136.5 140.5 144.5 148.5SL=130SU=160n=60X=135.8 =4.87S= n-1= 4.91

  • 2 nx s CASIO fx-3600PV MODE 3SHIFT KAC122.51 DATE126.52 DATE130.512 DATE134.518 DATE138.519 DATE142.55 DATE146.53 DATEKOUT 3SHIFT XSHIFT X nSHIFT X n-1KNOT 2KNOT 1n X s x x2SD012251265130.5134.5138.5142.5146.560135.7664871491281461107379

  • 3 1

  • 2 510;

  • 3

  • 4

  • 5

  • 6

  • 7

  • 4

    1 2 3 4

  • 1 X

  • 2 353g)

    35 6499307 32.25%32.25%. 29 30 31 32 33 34 35 36 37 38 39 40 41 42SLSU

    1

    8

    12

    15

    20

    30

    40

    50

    38

    30

    28

    20

    10

    6

    Sheet1

    X-R CQ18405003

    QI-F-002XR8452/54 nX

    65KGS63.0810.74TP-S-001-A5

    60KGS60.15KGS5.08

    KGS55KGS57.220

    2/92/102/112/122/142/152/162/173/93/103/113/123/143/153/163/174/94/104/114/124/144/154/164/174/18AA1A2C21/C2B1B2B3B4D21/D2D3D1D2D3D4A3D5D6E2A9M3A2C3

    12345678910111213141516171819202122232425X=1503.8 R=12722.1213.7601.8800.56421.77250.0001.8430.0003.2671.1280.88650.8530.0003.6850.0003.2672.2240.0003.8652.6602.6951.8800.603

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    X60.260.461.660.060.660.860.859.259.459.859.060.461.259.061.259.859.859.460.059.661.260.259.660.859.8X=60.1581.0611.1750.3730.90271.10780.1671.6380.1851.8152.8470.35120.8200.3545.3070.1361.8640.4410.1391.9011.0541.1430.4320.262

    R8368473874555417455457255R=5.0891.0001.0940.3370.91391.09420.2191.6090.2391.7612.9700.33670.8080.5465.3940.1841.8160.4190.1871.8501.0101.1040.4120.246

    X UCL100.9491.0280.3080.92271.08370.2621.5840.2841.7163.0780.32490.7970.6875.4690.2231.7770.3690.2271.8090.9751.0720.3630.232

    n=5 A2=0.577 D4=2.115 X Chart: UCL=60.15+0.5775.08=63.08 LCL=60.15-0.5775.08=57.22 X Chart: UCL=2.1155.08=10.74 LCL=05.08=0

    CL110.9050.9730.2850.93001.07530.2991.5610.3211.6793.1730.31520.7870.8125.5340.2561.744

    120.8660.9250.2660.93591.06480.3311.5410.3541.6453.2580.30690.7780.9245.5920.2841.716

    130.8320.8840.2490.94101.06270.3591.5230.3821.6183.3360.29980.7701.0265.6460.3081.692

    LCL140.8020.8480.2350.94531.05790.3841.5070.4061.5943.4070.29350.7621.1215.6930.3291.671

    R UCL150.7750.8160.2230.94901.05370.4061.4920.4281.5723.4720.28800.7551.2075.7370.3481.652

    CL160.7500.7880.2120.95231.05010.4271.4780.4481.5523.5320.28310.7491.2855.7790.3641.636

    170.7280.7620.2030.95511.04700.4451.4650.4661.5343.5880.27870.7431.3595.8170.3791.621

    180.7070.7380.1940.95761.04420.4611.4540.4821.5183.6400.27470.7381.4265.8540.3921.608

    190.6880.7170.1870.95991.04180.4771.4430.4971.5033.6890.27110.7331.4905.8880.4041.596

    200.6710.6970.1800.96151.03960.4911.4330.5101.4903.7350.26770.7291.5485.9220.4141.586

    210.6550.6970.1730.96381.03760.5041.4240.5231.4773.7780.26470.7241.6065.9500.4251.575

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    230.6260.6470.1620.96701.03420.5271.4070.5451.4553.8580.25920.7161.7106.0060.4431.557

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    250.6000.6190.1530.96961.03130.5481.3920.5651.4353.9310.25440.7091.8046.0580.4591.541

    X-R

    XR /

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    X258606260596160575758586061586158595959586060606060

    X361606260596161606060606062596159605960586161606061

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    X564626464636462636361616363616263626262626463606461

    X

    X61606260596161606060606062596159605960586161606061X=60.2

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    X UCL

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    CL

    LCL

    R

    P CQ58408007

    P chart8487/821

    6.70%150/4

    2.72%

    0

    7/107/158/108/159/109/1510/1010/1511/1011/1512/1012/1514/1014/1515/1015/1516/1016/1517/1017/1518/1018/1519/1019/1521/10

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    A3212112312121222141236

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    D112111111212

    E1111111119

    F111115

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    6316465281620352914531955

    P4.02.00.74.02.74.03.31.35.30.74.01.30.02.03.31.36.00.72.73.32.00.76.03.33.3

    UCL

    LCLP=102/3750 =0.0272=2.72% UCL= P+3 P1-P/n =0.0272+30.013=0.067=6.7% LCL=0

    UCL

    CL

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    812152030405038302820106

    2.5

    1.7

    2.1

    1.8

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    1.7

    1.9

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    1.3

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  • 5 1 a) 4

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    Sheet1

    CQ18405003

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    60KGS60.15KGS5.08

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    X60.260.461.660.060.660.860.859.259.459.859.060.461.259.061.259.859.859.460.059.661.260.259.660.859.8X=60.1581.0611.1750.3730.90271.10780.1671.6380.1851.8152.8470.35120.8200.3545.3070.1361.8640.4410.1391.9011.0541.1430.4320.262

    R8368473874555417455457255R=5.0891.0001.0940.3370.91391.09420.2191.6090.2391.7612.9700.33670.8080.5465.3940.1841.8160.4190.1871.8501.0101.1040.4120.246

    UCL100.9491.0280.3080.92271.08370.2621.5840.2841.7163.0780.32490.7970.6875.4690.2231.7770.3690.2271.8090.9751.0720.3630.232

    CL110.9050.9730.2850.93001.07530.2991.5610.3211.6793.1730.31520.7870.8125.5340.2561.744

    120.8660.9250.2660.93591.06480.3311.5410.3541.6453.2580.30690.7780.9245.5920.2841.716

    130.8320.8840.2490.94101.06270.3591.5230.3821.6183.3360.29980.7701.0265.6460.3081.692

    LCL140.8020.8480.2350.94531.05790.3841.5070.4061.5943.4070.29350.7621.1215.6930.3291.671

    UCL150.7750.8160.2230.94901.05370.4061.4920.4281.5723.4720.28800.7551.2075.7370.3481.652

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    170.7280.7620.2030.95511.04700.4451.4650.4661.5343.5880.27870.7431.3595.8170.3791.621

    180.7070.7380.1940.95761.04420.4611.4540.4821.5183.6400.27470.7381.4265.8540.3921.608

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    200.6710.6970.1800.96151.03960.4911.4330.5101.4903.7350.26770.7291.5485.9220.4141.586

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    220.6400.6620.1670.96551.03580.5161.4150.5341.4663.8190.26180.7201.6595.9790.4341.566

    230.6260.6470.1620.96701.03420.5271.4070.5451.4553.8580.25920.7161.7106.0060.4431.557

    240.6120.6320.1570.96841.03270.5381.3990.5551.4453.8950.25670.7121.7596.0310.4521.548

    250.6000.6190.1530.96961.03130.5481.3920.5651.4353.9310.25440.7091.8046.0580.4591.541

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    X156595856595759555658565858576156585757585956585956

    X258606260596160575758586061586158595959586060606060

    X361606260596161606060606062596159605960586161606061

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    X564626464636462636361616363616263626262626463606461

    X61606260596161606060606062596159605960586161606061X=60.2

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    UCL

    CL

    LCL

    CQ58408007

    P chart

    6.70%

    2.72%

    0

    7/107/158/108/159/109/1510/1010/1511/1011/1512/1012/1514/1014/1515/1015/1516/1016/1517/1017/1518/1018/1519/1019/1521/10

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    A3212112312121222141236

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    6316465281620352914531955

    4.02.00.74.02.74.03.31.35.30.74.01.30.02.03.31.36.00.72.73.32.00.76.03.33.3

    UCL

    LCL

    UCL

    CL

    Sheet1

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    234678910111314

    2.51.72.11.82.221.71.911.31.1

    2.06%1.50%

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    812152030405038302820106

    5101617252016105

  • b)

    3

    2

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    X-R CQ18405003

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    X26