SPC分析实例课件

SPC分析实例SPC分析实例1收集数据绘制解析用控制图控制用控制图绘制直方图稳定状态满足规格去除异常原因检讨5M1E各方面提升过程能力计算Pp,Ppk(辅助参考变异是否常态分布)YesNoYesNoSPC分析实例收集数据绘制解析用控制绘制直方图稳定状态满足规格去除异常原因2SPC分析实例EngineeringSpecification工程規格productspc2.70正公差Tolerence+2.72負公差Tolerence-2.68*因为要增加一个CC尺寸，工程师请现场品管每30分种取5Pcs样品，共取了11组做好标识，送测量室测量，用来确认该产品的过程能力CCSPC分析实例EngineeringSpecificati312345678910112.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.6862.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.7032.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.6942.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.6872.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689*测量室按品管标识的顺序，对样品进行了测量，测量结果都是的合格的；除此以外，这些数据还隐藏着哪些有用的信息？SPC分析实例12345678910112.7002.7042.7004序1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X42.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X2.69592.69592.69592.69592.69592.69592.69592.69592.69592.69592.6959Xi-X0.00410.00810.00410.00610.0091-0.0109-0.0069-0.0089-0.0059-0.0039-0.0099Xi-X0.0011-0.01290.00410.00510.00810.00510.0001-0.0099-0.00790.00010.0071Xi-X-0.0059-0.01190.00110.00110.01210.00210.0021-0.0059-0.0049-0.0069-0.0019Xi-X0.0021-0.00690.0051-0.00290.0051-0.00090.00810.0061-0.00490.0061-0.0089Xi-X0.0051-0.00590.0031-0.00090.00810.00310.00810.00510.00410.0051-0.0069(Xi-X)20.000016440.000064880.000016440.000036660.000081980.000119800.000048240.000080020.000035350.000015570.00009891(Xi-X)20.000001110.000167580.000016440.000025550.000064880.000025550.000000000.000098910.000063130.000000000.00004977(Xi-X)20.000035350.000142690.000001110.000001110.000145310.000004220.000004220.000035350.000024460.000048240.00000378(Xi-X)20.000004220.000048240.000025550.000008680.000025550.000000890.000064880.000036660.000024460.000036660.00008002(Xi-X)20.000025550.000035350.000009330.000000890.000064880.000009330.000064880.000025550.000016440.000025550.00004824Σ(Xi-X)20.002255Σ(Xi-X)20.000042σ0.0064619标准差(StandardDeviation)是一组数值自平均值分散开来的程度的一种测量观念，反应出制造过程的一致性。标准差较大，代表大部分的数值和其平均值之间差异较大；标准差较小，代表这些数值较接近平均值计算55个数据的平均值实测值-平均值（实测值-平均值)的差的平方和平均后开根号？？？SPC分析实例序1234567891011X12.7002.7042.5minSPC分析实例＝（2.72-2.68）/6*0.0064619＝0.04/0.03877＝1.03169（2.72-2.6959）/3*0.0064619＝1.24084（2.6959-2.68）/3*0.0064619＝0.82254z？？？过程性能指数(Processperformanceindex)是QS9000提出的PP，PPK的概念。Usl-Lsl是技术要求，σ反映制造过程的一致性，所以在PP中将Usl-Lsl与6σ比较，就能反应出制造过程满足产品技术要求的程度平均值与规格中心重叠时PP＝PPKminSPC分析实例＝（2.72-2.68）/6*0.0066SPC分析实例★Ppk=0.82，意味着不良率p=4.45%SPC分析实例★Ppk=0.82，意味着不良率p=4.45%74,标坐标点，划网格线；5,将

的值描点到网格线内，形成极差控制图SPC分析实例1,计算每组数据极差;2,用计算极差上控制线；3,用计算极差下控制线；⑤①②③④n1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X4

2.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X-Bar2.6972.6902.6992.6982.7042.6962.6982.6932.6922.6962.692Range0.010.020.000.010.010.020.020.020.010.010.02判稳4,标坐标点，划网格线；SPC分析实例1,计算每组数据极差8SPC分析实例SPC分析实例94,标坐标点，划网格线；5,将

的值描点到网格线内，形成分析用控制图n1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X4

2.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X-Bar2.6972.6902.6992.6982.7042.6962.6982.6932.6922.6962.692SPC分析实例★有点超出控制线1,计算每组数据的平均值;2,用总平均值作上控制线；3,用总平均值

作下控制线；⑤①②③④4,标坐标点，划网格线；n1234567891011X12.10SPC分析实例SPC分析实例11SPC分析实例1,找到最小值和最大值，按一定的范围分成13个区间；2,把55个“测量值”放置到相应的区间3,计算下每个区间“测量值”的个数①②③下组界上组界组内数量2.6832.68512.6842.683

22.6852.68722.6852.6862.686

32.6872.68932.6872.6882.687

32.6892.69142.6902.6902.6892.6892.6902.6902.6892.689

82.6912.69332.6922.6912.691

32.6932.69562.6932.694

22.6952.69772.6952.6952.6962.696

42.6972.69982.6972.6982.6972.6972.6982.698

62.6992.70192.7002.7002.7002.6992.6992.700

62.7012.703102.7012.7012.7022.7012.7012.7012.7012.7022.7012.702102.7032.705112.7042.7042.7042.7042.7042.703

62.7052.707122.705

12.7072.709132.708

1SPC分析实例1,找到最小值和最大值，按一定的范围分成13个12SPC分析实例把上图逆时针旋转90度得到这组数据的直方图2.6832.6852.6872.6892.6912.6932.6952.6972.6992.7012.7032.7052.7072.6852.6872.6892.6912.6932.6952.6972.6992.7012.7032.7052.7072.709★存在两个峰值SPC分析实例把上图逆时针旋转90度得到这组数据的直方图2.13SPC分析实例数据分析的结果包括；1,Ppk＝0.82,不良率约在4%，制程性能指数偏低；2,第5组数据的点超出3σ的控制线；3,存在两个峰值工程师根据标识和记录确定第5组数据的取样时间是10：00,与现场领班，品管，技术员确认，在10：00左右有停机洗模；工程师确认除此以外，没有其它人机料法环的明显异常或变化；工程师与测量室确认测量过程，样品从下午2点多送到测量室，3点开始测量，由于品管标识了“样品，加急”，所以测量室安排了两名测量员同时测量。除此以外，没有其它人机料法环的明显异常或变化。工程师取走了第5组样品，然后将剩下的10组样品重新委托测量室测量，并与测量主管沟通，要求只派一名测量技能非常好的测量员测量和记录。SPC分析实例数据分析的结果包括；14SPC分析实例12345678910112.7002.7042.7002.7022.6952.7002.6872.7032.6922.6972.6972.6932.7002.7012.7012.6962.6962.6932.6962.7032.6902.6982.6972.6972.6982.6982.6902.6912.7002.6942.6982.7052.7012.6932.6952.7042.7022.6912.7022.6972.7012.7002.6992.6952.6992.7042.7012.7002.7012.700*测量室重新安排测量SPC分析实例12345678910112.7002.7015序1234567891011X12.7002.7042.7002.702

2.6952.7002.6872.7032.6922.697X22.6972.6932.7002.701

2.7012.6962.6962.6932.6962.703X32.6902.6982.6972.697

2.6982.6982.6902.6912.7002.694X42.6982.7052.7012.693

2.6952.7042.7022.6912.7022.697X52.7012.7002.6992.695

2.6992.7042.7012.7002.7012.700X2.69792.69792.69792.6979

2.69792.69792.69792.69792.69792.6979Xi-X0.00210.00610.00210.0041

-0.00290.0021-0.01090.0051-0.0059-0.0009Xi-X-0.0009-0.00490.00210.0031

0.0031-0.0019-0.0019-0.0049-0.00190.0051Xi-X-0.00790.0001-0.0009-0.0009

0.00010.0001-0.0079-0.00690.0021-0.0039Xi-X0.00010.00710.0031-0.0049

-0.00290.00610.0041-0.00690.0041-0.0009Xi-X0.00310.00210.0011-0.0029

0.00110.00610.00310.00210.00310.0021(Xi-X)20.000004240.000036720.000004240.00001648

0.000008640.000004240.000119680.000025600.000035280.00000088(Xi-X)20.000000880.000024400.000004240.00000936

0.000009360.000003760.000003760.000024400.000003760.00002560(Xi-X)20.000063040.000000000.000000880.00000088

0.000000000.000000000.000063040.000048160.000004240.00001552(Xi-X)20.000000000.000049840.000009360.00002440

0.000008640.000036720.000016480.000048160.000016480.00000088(Xi-X)20.000009360.000004240.000001120.00000864

0.000001120.000036720.000009360.000004240.000009360.00000424Σ(Xi-X)20.000861Σ(Xi-X)30.000018σ0.0041914标准差(StandardDeviation)计算50个数据的平均值实测值-平均值（实测值-平均值)的差的平方和平均后开根号SPC分析实例序1234567891011X12.7002.7042.16minSPC分析实例＝（2.72-2.68）/6*0.0041914＝0.04/0.02515＝1.59056（2.72-2.6979）/3*0.0041914＝1.75439（2.6979-2.68）/3*0.0041914＝1.42673z过程性能指数(Processperformanceindex)minSPC分析实例＝（2.72-2.68）/6*0.00417SPC分析实例Ppk=1.33σ=0.75p=60ppmPpk=1.67σ=0.60p=0.6ppmSPC分析实例Ppk=1.33Ppk=1.67184,标坐标点，划网格线；5,将

的值描点到网格线内，形成极差控制图SPC分析实例1,计算每组数据极差;2,用计算极差上控制线；3,用计算极差下控制线；⑤①②③④判稳n12345678910X12.7002.7042.7002.7022.6952.7002.6872.7032.6922.697X22.6972.6932.7002.7012.7012.6962.6962.6932.6962.703X32.6902.6982.6972.6972.6982.6982.6902.6912.7002.694X4

2.6982.7052.7012.6932.6952.7042.7022.6912.7022.697X52.7012.7002.6992.6952.6992.7042.7012.7002.7012.700X-Bar2.702.702.702.702.702.702.702.702.702.70Range0.010.010.000.010.010.010.020.010.010.014,标坐标点，划网格线；SPC分析实例1,计算每组数据极差19SPC分析实例SPC分析实例204,标坐标点，划网格线；5,将

的值描点到网格线内，形成分析用控制图SPC分析实例1,计算每组数据的平均值;2,用总平均值作上控制线；3,用总平均值

作下控制线；⑤①②③④n12345678910X12.7002.7042.7002.7022.6952.7002.6872.7032.6922.697X22.6972.6932.7002.7012.7012.6962.6962.6932.6962.703X32.6902.6982.6972.6972.6982.6982.6902.6912.7002.694X4

2.6982.7052.7012.6932.6952.7042.7022.6912.7022.697X52.7012.7002.6992.6952.6992.7042.7012.7002.7012.700X-Bar2.702.702.702.702.702.702.702.702.702.70Range0.010.010.000.010.010.010.020.010.010.01判稳4,标坐标点，划网格线；SPC分析实例1,计算每组数据的平均21SPC分析实例SPC分析实例22SPC分析实例1,找到最小值和最大值，按一定的范围分成12个区间；2,把50个“测量值”放置到相应的区间3,计算下每个区间“测量值”的个数①②③下组界上组界组内数量2.6842.6861

2.6862.68822.687

12.6882.6903

02.6902.69242.6902.6912.6902.691

42.6922.69452.6932.6932.6932.692

42.6942.69662.6952.6952.6952.694

42.6962.69872.6972.6972.6972.6962.6962.6962.6972.697

82.6982.70082.6982.6982.6992.6992.6982.698

62.7002.70292.7002.7012.7002.7012.7002.7002.7012.7012.7012.7002.7002.7012.7002.700142.7022.704102.7022.7022.7022.7032.703

52.7042.706112.7042.7052.7042.704

42.7062.70812

0SPC分析实例1,找到最小值和最大值，按一定的范围分成12个23SPC分析实例把上图逆时针旋转90度得到这组数据的直方图呈正态分布2.6862.6882.692.6922.6942.6962.6982.72.7022.7042.7062.6882.692.6922.6942.6962.6982.72.7022.7042.7062.708SPC分析实例把上图逆时针旋转90度得到这组数据的直方图呈正24SPC分析实例对于2.7±0.02的规格，利用

和计算Cp=0.0096/2.326=0.004127=1.6153=0.105=1.45过程稳定，能力充足SPC分析实例对于2.7±0.02的规格，利用和25n12345678910111213141516171819X12.7002.7042.7002.7022.6952.7002.6872.7032.6922.697

X22.6972.6932.7002.7012.7012.6962.6962.6932.6962.703

X32.6902.6982.6972.6972.6982.6982.6902.6912.7002.694

X4

2.6982.7052.7012.6932.6952.7042.7022.6912.7022.697

X52.7012.7002.6992.6952.6992.7042.7012.7002.7012.700

X-Bar2.702.702.702.702.702.702.702.702.702.70

Range0.010.010.000.010.010.010.020.010.010.01

判断准则准则1:至少一点超出管制界限.

准则5:连续3点中有2点落在中间的2/3区域外.

准则2:连续7点出现在中心线的同一侧.准则6:连续5点中有4点落在中间1/3区域外.

准则3:连续7点递增或递减.

准则7:连续15点在1/3区域內中心线上下.

准则4:连续14点中相邻点上下交替.

准则8:连续8点在中心线两侧,但无一点在1/3区域內.SPC分析实例锁定控制线，连续监控n1234567891011121314151617181926SPC分析实例课件27SPC分析实例课件28SPC分析实例SPC分析实例29收集数据绘制解析用控制图控制用控制图绘制直方图稳定状态满足规格去除异常原因检讨5M1E各方面提升过程能力计算Pp,Ppk(辅助参考变异是否常态分布)YesNoYesNoSPC分析实例收集数据绘制解析用控制绘制直方图稳定状态满足规格去除异常原因30SPC分析实例EngineeringSpecification工程規格productspc2.70正公差Tolerence+2.72負公差Tolerence-2.68*因为要增加一个CC尺寸，工程师请现场品管每30分种取5Pcs样品，共取了11组做好标识，送测量室测量，用来确认该产品的过程能力CCSPC分析实例EngineeringSpecificati3112345678910112.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.6862.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.7032.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.6942.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.6872.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689*测量室按品管标识的顺序，对样品进行了测量，测量结果都是的合格的；除此以外，这些数据还隐藏着哪些有用的信息？SPC分析实例12345678910112.7002.7042.70032序1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X42.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X2.69592.69592.69592.69592.69592.69592.69592.69592.69592.69592.6959Xi-X0.00410.00810.00410.00610.0091-0.0109-0.0069-0.0089-0.0059-0.0039-0.0099Xi-X0.0011-0.01290.00410.00510.00810.00510.0001-0.0099-0.00790.00010.0071Xi-X-0.0059-0.01190.00110.00110.01210.00210.0021-0.0059-0.0049-0.0069-0.0019Xi-X0.0021-0.00690.0051-0.00290.0051-0.00090.00810.0061-0.00490.0061-0.0089Xi-X0.0051-0.00590.0031-0.00090.00810.00310.00810.00510.00410.0051-0.0069(Xi-X)20.000016440.000064880.000016440.000036660.000081980.000119800.000048240.000080020.000035350.000015570.00009891(Xi-X)20.000001110.000167580.000016440.000025550.000064880.000025550.000000000.000098910.000063130.000000000.00004977(Xi-X)20.000035350.000142690.000001110.000001110.000145310.000004220.000004220.000035350.000024460.000048240.00000378(Xi-X)20.000004220.000048240.000025550.000008680.000025550.000000890.000064880.000036660.000024460.000036660.00008002(Xi-X)20.000025550.000035350.000009330.000000890.000064880.000009330.000064880.000025550.000016440.000025550.00004824Σ(Xi-X)20.002255Σ(Xi-X)20.000042σ0.0064619标准差(StandardDeviation)是一组数值自平均值分散开来的程度的一种测量观念，反应出制造过程的一致性。标准差较大，代表大部分的数值和其平均值之间差异较大；标准差较小，代表这些数值较接近平均值计算55个数据的平均值实测值-平均值（实测值-平均值)的差的平方和平均后开根号？？？SPC分析实例序1234567891011X12.7002.7042.33minSPC分析实例＝（2.72-2.68）/6*0.0064619＝0.04/0.03877＝1.03169（2.72-2.6959）/3*0.0064619＝1.24084（2.6959-2.68）/3*0.0064619＝0.82254z？？？过程性能指数(Processperformanceindex)是QS9000提出的PP，PPK的概念。Usl-Lsl是技术要求，σ反映制造过程的一致性，所以在PP中将Usl-Lsl与6σ比较，就能反应出制造过程满足产品技术要求的程度平均值与规格中心重叠时PP＝PPKminSPC分析实例＝（2.72-2.68）/6*0.00634SPC分析实例★Ppk=0.82，意味着不良率p=4.45%SPC分析实例★Ppk=0.82，意味着不良率p=4.45%354,标坐标点，划网格线；5,将

的值描点到网格线内，形成极差控制图SPC分析实例1,计算每组数据极差;2,用计算极差上控制线；3,用计算极差下控制线；⑤①②③④n1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X4

2.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X-Bar2.6972.6902.6992.6982.7042.6962.6982.6932.6922.6962.692Range0.010.020.000.010.010.020.020.020.010.010.02判稳4,标坐标点，划网格线；SPC分析实例1,计算每组数据极差36SPC分析实例SPC分析实例374,标坐标点，划网格线；5,将

的值描点到网格线内，形成分析用控制图n1234567891011X12.7002.7042.7002.7022.7052.6852.6892.6872.6902.6922.686X22.6972.6832.7002.7012.7042.7012.6962.6862.6882.6962.703X32.6902.6842.6972.6972.7082.6982.6982.6902.6912.6892.694X4

2.6982.6892.7012.6932.7012.6952.7042.7022.6912.7022.687X52.7012.6902.6992.6952.7042.6992.7042.7012.7002.7012.689X-Bar2.6972.6902.6992.6982.7042.6962.6982.6932.6922.6962.692SPC分析实例★有点超出控制线1,计算每组数据的平均值;2,用总平均值作上控制线；3,用总平均值

作下控制线；⑤①②③④4,标坐标点，划网格线；n1234567891011X12.38SPC分析实例SPC分析实例39SPC分析实例1,找到最小值和最大值，按一定的范围分成13个区间；2,把55个“测量值”放置到相应的区间3,计算下每个区间“测量值”的个数①②③下组界上组界组内数量2.6832.68512.6842.683

22.6852.68722.6852.6862.686

32.6872.68932.6872.6882.687

32.6892.69142.6902.6902.6892.6892.6902.6902.6892.689

82.6912.69332.6922.6912.691

32.6932.69562.6932.694

22.6952.69772.6952.6952.6962.696

42.6972.69982.6972.6982.6972.6972.6982.698

62.6992.70192.7002.7002.7002.6992.6992.700

62.7012.703102.7012.7012.7022.7012.7012.7012.7012.7022.7012.702102.7032.705112.7042.7042.7042.7042.7042.703

62.7052.707122.705

12.7072.709132.708

1SPC分析实例1,找到最小值和最大值，按一定的范围分成13个40SPC分析实例把上图逆时针旋转90度得到这组数据的直方图2.6832.6852.6872.6892.6912.6932.6952.6972.6992.7012.7032.7052.7072.6852.6872.6892.6912.6932.6952.6972.6992.7012.7032.7052.7072.709★存在两个峰值SPC分析实例把上图逆时针旋转90度得到这组数据的直方图2.41SPC分析实例数据分析的结果包括；1,Ppk＝0.82,不良率约在4%，制程性能指数偏低；2,第5组数据的点超出3σ的控制线；3,存在两个峰值工程师根据标识和记录确定第5组数据的取样时间是10：00,与现场领班，品管，技术员确认，在10：00左右有停机洗模；工程师确认除此以外，没有其它人机料法环的明显异常或变化；工程师与测量室确认测量过程，样品从下午2点多送到测量室，3点开始测量，由于品管标识了“样品，加急”，所以测量室安排了两名测量员同时测量。除此以外，没有其它人机料法环的明显异常或变化。工程师取走了第5组样品，然后将剩下的10组样品重新委托测量室测量，并与测量主管沟通，要求只派一名测量技能非常好的测量员测量和记录。SPC分析实例数据分析的结果包括；42SPC分析实例12345678910112.7002.7042.7002.7022.6952.7002.6872.7032.6922.6972.6972.6932.7002.7012.7012.6962.6962.6932.6962.7032.6902.6982.6972.6972.6982.6982.6902.6912.7002.6942.6982.7052.7012.6932.6952.7042.7022.6912.7022.6972.7012.7002.6992.6952.6992.7042.7012.7002.7012.700*测量室重新安排测量SPC分析实例12345678910112.7002.7043序1234567891011X12.7002.7042.7002.702

2.6952.7002.6872.7032.6922.697X22.6972.6932.7002.701

2.7012.6962.6962.6932.6962.703X32.6902.6982.6972.697

2.6982.6982.6902.6912.7002.694X42.6982.7052.7012.693

2.6952.7042.7022.6912.7022.697X52.7012.7002.6992.695

2.6992.7042.7012.7002.7012.700X2.69792.69792.69792.6979

2.69792.69792.69792.69792.69792.6979Xi-X0.00210.00610.00210.0041

-0.00290.0021-0.01090.0051-0.0059-0.0009Xi-X-0.0009-0.00490.00210.0031

0.0031-0.0019-0.0019-0.0049-0.00190.0051Xi-X-0.00790.0001-0.0009-0.0009

0.00010.0001-0.0079-0.00690.0021-0.0039Xi-X0.00010.00710.0031-0.0049

-0.00290.00610.0041-0.00690.0041-0.0009Xi-X0.00310.00210.0011-0.0029

0.00110.00610.00310.00210.00310.0021(Xi-X)20.000004240.000036720.000004240.00001648

0.000008640.000004240.000119680.000025600.000035280.00000088(Xi-X)20.000000880.000024400.000004240.00000936

0.000009360.000003760.000003760.000024400.000003760.00002560(Xi-X)20.000063040.000000000.000000880.00000088

0.000000000.000000000.000063040.000048160.000004240.00001552(Xi-X)20.000000000.000049840.000009360.00002440

0.000008640.000036720.000016480.000048160.000016480.00000088(Xi-X)20.000009360.000004240.000001120.00000864

0.000001120.000036720.000009360.000004240.000009360.00000424Σ(Xi-X)20.000861Σ(Xi-X)30.000018σ0.0041914标准差(StandardDeviation)计算50个数据的平均值实测值-平均值（实测值-平均值)的差的平方和平均后开根号SPC分析实例序1234567891011X12.7002.7042.44minSPC分析实例＝（2.72-2.68）/6*0.0041914＝0.04/0.02515＝1.59056（2.72-2.6979）/3*0.0041914＝1.75439（2.6979-2.68）/3*0.0041914＝1.42673z过程性能指数(Processperformanceindex)minSPC分析实例＝（2.72-2.68）/6*0.00445SPC分析实例Ppk=1.33σ=0.75p=60ppmPpk=1.67σ=0.60p=0.6ppmSPC分析实例Ppk=1.33Ppk=1.67464,标坐标点，划网格线；5,将

的值描点到网格线内，形成极差控制图SPC分析实例1,计算每组数据极差;2,用计算极差上控制线；3,用计算极差下控制线；⑤①②③④判稳n12345678910X12.7002.7042.7002.7022.6952.7002.6872.7032.6922.697X22.6972.6932.7002.7012.7012.6962.6962.6932.6962.703X32.6902.6982.6972.6972.6982.6982.6902.6912.7002.694X4

2.6982.7052.7012.6932.6952.7042.7022.6912.7022.697X52.7012.7002.6992.6952.6992.7042.7012.7002.7012.700X-Bar2.702.702.702.702.702.702.702.702.702.70Range0.010.010.000.010.010.010.020.010.010.014,标坐标点，划网格线；SPC分析实例1,计算每组数据极差47SPC分析实例SPC分析实例484,标坐标点，划网格线；5,将

的值描点到网格线内，形成分析用控制图SPC分析实例1,计算每组数据的平均值;2,用总平均值作上控制线；3,用总平均值

作下控制线；⑤①②③④n12345678910X12.7002.7042.7002.7022.6952.7002.6872.7032.6922.697X22.6972.6932.7002.7012.7012.6962.6962.6932.6962.703X32.6902.6982.6972.6972.6982.6982.6902.6912.7002.694X4

2.6982.7052.7012.693