CPK控制图

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CPK控制图-空白表格(工具)

0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
公差上限公差下限
15.100 14.900 LCLX=X-A2R=
组容/频率图号 #DIV/0!
5pcs/1H
生产形态日期
正式生产
16.000 14.000 12.000 10.000
8.000 6.000 4.000 UCL
说明栏 ●对特殊原因采取措施说明 *任何超出控制限的点
AVERAGE(X) UCL CL CL LCL
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
工厂车间零件名称 ● AVERAGES（X BAR CHART ） ●
1.000 0.900 0.800 0.700 0.600 0.500 0.400 0.300 0.200 0.100 0.000 1 2
2 3
工序名称机器编号 X=AVE（X）= #DIV/0!
质量特性规格值 UCLX=X+A2R= #DIV/0!

cpk及控制图的基础知识课件

Cp衡量的是“规格公差宽度”与“制程变异宽度”
之比例；
对于只有规格上限和规格中心的规格 Cpu= USL-X 3σ
对于只有规格下限和规格中心的规格 Cpl= X-LSL
对于双边规格： Cp= USL-LSL
Байду номын сангаас
3σ
6σ
Cp等级评定级处理原则
等级 A+ A B C D
Cp值 ≧1.67 1.33≦Cp<1.67 1.00≦Cp<1.33 0.67≦Cp<1.00 Cp<0.67
和Cpk相关的几个重要概念2
USL（Upper specification limit)：即规格上限
LSL（Low specification limit）:即规格下限；
SL（Specification center limit）:规格中心
X=（X1+X2+........+Xn)/n样本平均值
（n为样本数）
USL
在Ca; 对于双边规格，Ca= X-SL
T/2
LSL
Ca等级评定级处理原则
Ca 值的等级判定
Ca值是正值---实际平均值较规格中心值偏高 Ca值是负值---实际平均值较规格中心值偏低 Ca值越小，品质越佳，依Ca值大小一般分为以下六级；
等级 A B C D E F
起始值 0 0.1 0.3 0.5 0.7 1
处理原则无缺点考虑降低成本状态良好维持现状改进为A级制程不良较多，必须提升其能力制程能力太差，应考虑重新整改设计制程
制程能力靶心图
Cpk等级评定级处理原则
等级 A+ A B C D
Cp值 ≧1.67 1.33≦Cpk<1.67 1.00≦Cpk<1.33 0.67≦Cpk<1.00 Cpk<0.67

CPK_控制图分析_Excel_SPC_计算工具

16.18 15.99 15.80
0.693286 0.329 0
16.18 15.99 15.80
0.693286 0.329 0
16.18 15.99 15.80
0.693286 0.329 0
16.18 15.99 15.80
0.693286 0.329 0
16.18 16.18
15.99 15.99
LCL
15.80
15.80
15.80
15.80
15.80
15.80 15.80 15.80 15.80
15.80
15.80
15.80 15.80 15.80
UCL
0.6932857 0.6932857 0.6932857 0.6932857 0.6932857 0.6932857 0.693286 0.693286 0.693 0.6932857 0.6932857 0.6932857 0.6932857 0.6932857
15.900 16.000 16.200 16.200 15.900 80.20 16.04 0.300
15.800 15.900 15.800 16.000 15.800 79.30 15.86 0.200
15.900 16.000 16.200 16.100 16.300 80.50 16.10 0.400
数
4 16.000 15.900 16.000
5 16.100 16.000 15.800
和
79.60
80.20
79.70
X=和/（读数数量） 15.92
16.04
15.94
R=最高—最低 0.4000 0.300
0.300

CPK控制图-空白表格(工具)

●Cpk = Min ( USL-X 3R/d2
TOTAL AVERAGE(X) CLX UCLX LCLX MAX-MIN(R) CLR UCLR LCLR
制表/日期：
RANGES（R CHART ）
UCL 3 4
4
X-LSL )≥1.33 3R/d2 )= 24 #DIV/0! 25
5
5
6
6
7
8
审核/日期：
批准/日期：
工厂车间零件名称 ● AVERAGES（X BAR CHART ） ●
1.000 0.900 0.800 0.700 0.600 0.500 0.400 0.300 0.200 0.100 0.000 1 2
2 3
工序名称机器编号 X=AVE（X）= #DIV/0!
质量特性规格值 UCLX=X+A2R= #DIV/0!
公差上限公差下限
15.100 14.900 LCLX=X-A2R=
组容/频率图号 #DIV/0!
5pcs/1H
生产形态日期
正式生产
16.000 14.000 12.000 10.000
8.000 6.000 4.000 UCL
说明栏 ●对特殊原因采取措施说明 *任何超出控制限的点
AVERAGE(X) UCL CL CL LCL
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000
0.000 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.000 0.000 0.000 0.000

CPK、PPK 分析控制图

0
均值
上控制限下控制限
制程能力分析 Std.Dev.= Sigma = ＰＰＫ= 0.01 0.01 2.29 2.54 9.92% 3.50 3.88 A
中心线
R 控制图
0.04
0.02 0.00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 ＣＰＫ= CP = Grade =
上控制限
下控制限
如果控制图表明过程不受控或CPK小于 1.33，PPK小于1.67，应分析原因
从控制图上看，无点出界，且点排列几乎随机，过程受控。且由于规格较大正负0.2，故CPK=181，PPK=1.68，可以接受。建议不用调整过程，继续生产。
18
12.48 12.50 12.50 12.50 12.50
20
12.50 12.52 12.50 12.50 12.52
22
12.50 12.52 12.50 12.50 12.52
23
12.50 12.52 12.50 12.50 12.52
24
12.50 12.52 12.50 12.50 12.52
8
12.48 12.50 12.50 12.50 12.50
9
12.50 12.50 12.50 12.50 12.50
10
12.50 12.52 12.50 12.50 12.52
11
12.52 12.52 12.52 12.50 12.50
12
12.52 12.54 12.52 12.52 12.52
mm
规格下限 LSL
4
12.50 12.48 12.50 12.50 12.50

CPK控制图

NO 测定 D A T A 1 5.31 5.20 5.35 5.37 5.28 4.8=SL 5.8=SU2 5.23 5.24 5.20 5.31 5.343 5.37 5.36 5.37 5.34 5.454 5.45 5.24 5.28 5.37 5.365 5.45 5.38 5.45 5.24 5.326 5.36 5.39 5.31 5.25 5.347 5.38 5.24 5.28 5.37 5.258 5.37 5.38 5.45 5.24 5.249 5.32 5.39 5.31 5.25 5.2710 5.37 5.42 5.23 5.20 5.2311 5.29 5.28 5.37 5.37 5.2912 5.28 5.38 5.45 5.24 5.4313 5.29 5.39 5.31 5.25 5.2714 5.28 5.42 5.23 5.24 5.20基准表★ 工程能力的有无是按照如下基准来判断15 5.24 5.28 5.37 5.29 5.45A+▶ 2.0 > Cpk ≥ 1.67 : 优,应当保持16 5.38 5.45 5.37 5.42 5.23A ▶ 1.67 > Cpk ≥ 1.33 : 能力良好，状态稳定，但应尽力提升为A ＋级17 5.39 5.31 5.29 5.28 5.37 B ▶ 1.33 > Cpk ≥ 1.00 : 状态一般，制程因素稍有变异即有产生不良的危险，应 18 5.26 5.39 5.28 5.38 5.45利用各种资源及方法将其提升为 A 级19 5.38 5.42 5.29 5.39 5.31C ▶ 1.00 > Cpk ≥ 0.67 : 差制程不良较多，必须提升其能力20 5.305.375.395.315.25D ▶ 0.67 > Cpk : 不可接受,其能力太差，应考虑重新整改设计制程21结论2223 ▶ 规格中心 (μ) 与测定平均值的差异 :0.0262425 4.8=SL5.8=SU26272829303132 5.3=μ33LOT NO 测定者样品数(n)100下限规格 (SL) 4.80测定设备功率表测定日最大(Max) 5.450上限规格(SU) 5.80客户名做成者最小(Min) 5.200规格中心(μ)5.30规格做成日平均(X-bar) 5.327Cp 2.33测定项目功率标准偏差(σ)0.072Cpk2.20产品名上限不良PPM 母集团推定不良率工程名下限不良PPM 0PPM特别备注注：1.数据不得低于25个；2.表中除了数据库外，黄色表格需要人手输入！0.010K 값치수평균편차U 값U 제곱E 값제곱근함수값0.053 4.610 5.3270.072(9.996)(49.957)0.000 6.283 2.5070.3990.0002.2024.6205.3270.072(9.856)(48.572)0.0006.283 2.5070.3990.000구간치4.6305.3270.072(9.717)(47.207)0.0006.283 2.5070.3990.0000.031계급의 수4.6405.3270.072(9.577)(45.861)0.0006.283 2.5070.3990.0005.169 5.1840.0000.000 4.650 5.3270.072(9.438)(44.535)0.000 6.283 2.5070.3990.0005.200 5.216 4.000 4.000 4.660 5.3270.072(9.298)(43.228)0.000 6.283 2.5070.3990.0005.231 5.24714.00014.000결작 성담 당팀 장4.6705.3270.072(9.159)(41.941)0.0006.283 2.5070.3990.0005.263 5.2788.0008.000 4.680 5.3270.072(9.019)(40.673)0.000 6.283 2.5070.3990.0005.294 5.30916.00016.000 4.690 5.3270.072(8.880)(39.424)0.000 6.283 2.5070.3990.0005.325 5.34113.00013.000재 4.700 5.3270.072(8.740)(38.195)0.000 6.283 2.5070.3990.0005.356 5.37217.00017.000 4.710 5.3270.072(8.601)(36.985)0.000 6.283 2.5070.3990.0005.388 5.40314.00014.000 4.720 5.3270.072(8.461)(35.795)0.000 6.283 2.5070.3990.0005.419 5.434 5.000 5.000 4.730 5.3270.072(8.322)(34.625)0.000 6.283 2.5070.3990.0005.450 5.4669.0009.000 4.740 5.3270.072(8.182)(33.473)0.000 6.283 2.5070.3990.0005.481 5.4970.0000.000 4.750 5.3270.072(8.043)(32.342)0.000 6.283 2.5070.3990.0005.5135.5280.0000.0004.7605.3270.072(7.903)(31.229)0.0006.2832.5070.3990.000工程能力分析表246 810 1214 16185.175.205.235.265.295.335.36 5.39 5.42 5.45 5.48 5.515.5590.000 4.770 5.3270.072(7.764)(30.137)0.0006.283 2.5070.3990.0005.5910.000 4.780 5.3270.072(7.624)(29.063)0.0006.283 2.5070.3990.0005.6220.000 4.790 5.3270.072(7.485)(28.009)0.0006.283 2.5070.3990.0005.6530.000 4.800 5.3270.072(7.345)(26.975)0.000 6.283 2.5070.3990.0000.3190.319 5.6840.000 4.810 5.3270.072(7.206)(25.960)0.000 6.283 2.5070.3990.0005.7160.000 4.820 5.3270.072(7.066)(24.965)0.0006.283 2.5070.3990.0005.7470.000 4.830 5.3270.072(6.927)(23.989)0.000 6.283 2.5070.3990.0005.7780.000 4.840 5.3270.072(6.787)(23.032)0.000 6.283 2.5070.3990.0005.8090.000 4.850 5.3270.072(6.648)(22.095)0.000 6.283 2.5070.3990.0005.8410.000 4.860 5.3270.072(6.508)(21.177)0.000 6.283 2.5070.3990.0005.8720.000 4.870 5.3270.072(6.369)(20.279)0.000 6.283 2.5070.3990.0005.9030.000 4.880 5.3270.072(6.229)(19.400)0.000 6.283 2.5070.3990.0005.9340.000 4.890 5.3270.072(6.090)(18.541)0.000 6.283 2.5070.3990.0005.9660.000 4.900 5.3270.072(5.950)(17.701)0.0006.283 2.5070.3990.0005.9970.000 4.910 5.3270.072(5.810)(16.881)0.000 6.283 2.5070.3990.0006.0280.000 4.920 5.3270.072(5.671)(16.080)0.000 6.283 2.5070.3990.0006.0590.000 4.930 5.3270.072(5.531)(15.299)0.000 6.283 2.5070.3990.0006.0910.000 4.940 5.3270.072(5.392)(14.537)0.000 6.283 2.5070.3990.0006.1220.000 4.950 5.3270.072(5.252)(13.794)0.000 6.283 2.5070.3990.0006.1530.000 4.960 5.3270.072(5.113)(13.071)0.000 6.283 2.5070.3990.0006.1840.000 4.970 5.3270.072(4.973)(12.368)0.000 6.283 2.5070.3990.000100.000 4.980 5.3270.072(4.834)(11.683)0.000 6.283 2.5070.3990.0004.9905.3270.072(4.694)(11.019)0.0006.283 2.5070.3990.0005.000 5.3270.072(4.555)(10.374)0.0006.283 2.5070.3990.0005.010 5.3270.072(4.415)(9.748)0.0006.283 2.5070.3990.0005.020 5.3270.072(4.276)(9.142)0.0006.283 2.5070.3990.0005.030 5.3270.072(4.136)(8.555)0.0006.283 2.5070.3990.0005.040 5.3270.072(3.997)(7.988)0.0006.283 2.5070.3990.0005.050 5.3270.072(3.857)(7.440)0.0016.283 2.5070.3990.0005.060 5.3270.072(3.718)(6.911)0.001 6.283 2.5070.3990.0005.070 5.3270.072(3.578)(6.402)0.002 6.283 2.5070.3990.0015.080 5.3270.072(3.439)(5.913)0.0036.283 2.5070.3990.0015.090 5.3270.072(3.299)(5.443)0.0046.283 2.5070.3990.0025.100 5.3270.072(3.160)(4.992)0.0076.283 2.5070.3990.0035.110 5.3270.072(3.020)(4.561)0.0106.283 2.5070.3990.0045.120 5.3270.072(2.881)(4.150)0.0166.283 2.5070.3990.0065.130 5.3270.072(2.741)(3.757)0.0236.283 2.5070.3990.0095.140 5.3270.072(2.602)(3.385)0.0346.283 2.5070.3990.0145.150 5.3270.072(2.462)(3.031)0.0486.283 2.5070.3990.0195.160 5.3270.072(2.323)(2.698)0.0676.283 2.5070.3990.0275.170 5.3270.072(2.183)(2.383)0.0926.283 2.5070.3990.0375.180 5.3270.072(2.044)(2.089)0.1246.283 2.5070.3990.0495.190 5.3270.072(1.904)(1.813)0.1636.283 2.5070.3990.0655.200 5.3270.072(1.765)(1.557)0.2116.283 2.5070.3990.0845.210 5.3270.072(1.625)(1.321)0.2676.283 2.5070.3990.1065.220 5.3270.072(1.486)(1.104)0.3326.283 2.5070.3990.1325.230 5.3270.072(1.346)(0.906)0.4046.283 2.5070.3990.1615.240 5.3270.072(1.207)(0.728)0.4836.283 2.5070.3990.1935.250 5.3270.072(1.067)(0.569)0.5666.283 2.5070.3990.2265.260 5.3270.072(0.928)(0.430)0.6506.283 2.5070.3990.2595.270 5.3270.072(0.788)(0.311)0.7336.283 2.5070.3990.2925.280 5.3270.072(0.649)(0.210)0.8106.283 2.5070.3990.3235.290 5.3270.072(0.509)(0.130)0.8786.283 2.5070.3990.3505.300 5.300 5.3270.072(0.370)(0.068)0.9346.283 2.5070.3990.3730.3980.3985.310 5.3270.072(0.230)(0.026)0.9746.283 2.5070.3990.3895.320 5.3270.072(0.091)(0.004)0.9966.283 2.5070.3990.3975.330 5.3270.0720.049(0.001)0.9996.283 2.5070.3990.3985.340 5.3270.0720.188(0.018)0.9826.283 2.5070.3990.3925.350 5.3270.0720.328(0.054)0.9486.283 2.5070.3990.3785.360 5.3270.0720.467(0.109)0.8976.283 2.5070.3990.3585.370 5.3270.0720.607(0.184)0.8326.283 2.5070.3990.3325.380 5.3270.0720.746(0.279)0.7576.283 2.5070.3990.3025.390 5.3270.0720.886(0.392)0.6756.283 2.5070.3990.2695.400 5.3270.072 1.025(0.526)0.5916.283 2.5070.3990.2365.410 5.3270.072 1.165(0.678)0.5076.283 2.5070.3990.2025.420 5.3270.072 1.304(0.851)0.4276.283 2.5070.3990.1705.430 5.3270.072 1.444(1.042)0.3536.283 2.5070.3990.1415.440 5.3270.072 1.583(1.254)0.2856.283 2.5070.3990.1145.450 5.3270.072 1.723(1.484)0.2276.283 2.5070.3990.0905.460 5.3270.072 1.862(1.734)0.1776.283 2.5070.3990.0705.470 5.3270.072 2.002(2.004)0.1356.283 2.5070.3990.0545.480 5.3270.072 2.141(2.293)0.1016.283 2.5070.3990.0405.490 5.3270.072 2.281(2.601)0.0746.283 2.5070.3990.0305.500 5.3270.072 2.420(2.929)0.0536.283 2.5070.3990.0215.510 5.3270.072 2.560(3.277)0.0386.283 2.5070.3990.0155.520 5.3270.072 2.699(3.644)0.0266.283 2.5070.3990.0105.530 5.3270.072 2.839(4.030)0.0186.283 2.5070.3990.0075.540 5.3270.072 2.978(4.436)0.0126.283 2.5070.3990.0055.550 5.3270.072 3.118(4.861)0.0086.283 2.5070.3990.0035.560 5.3270.072 3.257(5.306)0.0056.283 2.5070.3990.0025.570 5.3270.072 3.397(5.770)0.0036.283 2.5070.3990.0015.580 5.3270.072 3.537(6.253)0.002 6.283 2.5070.3990.0015.590 5.3270.072 3.676(6.757)0.001 6.283 2.5070.3990.0005.600 5.3270.072 3.816(7.279)0.0016.283 2.5070.3990.0005.610 5.3270.072 3.955(7.821)0.0006.283 2.5070.3990.0005.620 5.3270.072 4.095(8.383)0.0006.283 2.5070.3990.0005.630 5.3270.072 4.234(8.964)0.0006.283 2.5070.3990.0005.640 5.3270.072 4.374(9.564)0.0006.283 2.5070.3990.0005.650 5.3270.072 4.513(10.184)0.0006.283 2.5070.3990.0005.660 5.3270.072 4.653(10.823)0.0006.283 2.5070.3990.0005.670 5.3270.072 4.792(11.482)0.0006.283 2.5070.3990.0005.680 5.3270.072 4.932(12.160)0.0006.283 2.5070.3990.0005.690 5.3270.072 5.071(12.858)0.0006.283 2.5070.3990.0005.700 5.3270.072 5.211(13.575)0.0006.283 2.5070.3990.0005.710 5.3270.072 5.350(14.312)0.0006.283 2.5070.3990.0005.720 5.3270.072 5.490(15.068)0.0006.283 2.5070.3990.0005.730 5.3270.072 5.629(15.844)0.0006.283 2.5070.3990.0005.740 5.3270.072 5.769(16.639)0.000 6.283 2.5070.3990.0005.750 5.3270.072 5.908(17.453)0.0006.283 2.5070.3990.0005.760 5.3270.0726.048(18.287)0.000 6.283 2.5070.3990.0005.770 5.3270.0726.187(19.140)0.000 6.283 2.5070.3990.0005.780 5.3270.0726.327(20.013)0.000 6.283 2.5070.3990.0005.790 5.3270.0726.466(20.906)0.000 6.283 2.5070.3990.0005.800 5.3270.0726.606(21.817)0.000 6.283 2.5070.3990.0000.3190.3195.810 5.3270.0726.745(22.749)0.000 6.283 2.5070.3990.0005.820 5.3270.0726.885(23.699)0.000 6.283 2.5070.3990.0005.830 5.3270.0727.024(24.670)0.0006.283 2.5070.3990.0005.840 5.3270.0727.164(25.659)0.0006.283 2.5070.3990.0005.850 5.3270.0727.303(26.668)0.000 6.283 2.5070.3990.0005.860 5.3270.0727.443(27.697)0.0006.283 2.5070.3990.0005.870 5.3270.0727.582(28.745)0.0006.283 2.5070.3990.0005.880 5.3270.0727.722(29.813)0.0006.283 2.5070.3990.0005.890 5.3270.0727.861(30.900)0.0006.283 2.5070.3990.0005.900 5.3270.0728.001(32.006)0.0006.283 2.5070.3990.0005.910 5.3270.0728.140(33.132)0.0006.283 2.5070.3990.0005.920 5.3270.0728.280(34.277)0.0006.283 2.5070.3990.0005.930 5.3270.0728.419(35.442)0.0006.283 2.5070.3990.0005.940 5.3270.0728.559(36.626)0.000 6.283 2.5070.3990.0005.950 5.3270.0728.698(37.830)0.0006.283 2.5070.3990.0005.960 5.3270.0728.838(39.053)0.0006.283 2.5070.3990.0005.970 5.3270.0728.977(40.296)0.0006.283 2.5070.3990.0005.980 5.3270.0729.117(41.558)0.0006.283 2.5070.3990.0005.990 5.3270.0729.256(42.840)0.0006.283 2.5070.3990.0006.000 5.3270.0729.396(44.141)0.000 6.283 2.5070.3990.0006.010 5.3270.0729.535(45.461)0.000 6.283 2.5070.3990.0006.020 5.3270.0729.675(46.801)0.000 6.283 2.5070.3990.0006.030 5.3270.0729.814(48.161)0.000 6.283 2.5070.3990.0006.040 5.3270.0729.954(49.540)0.000 6.283 2.5070.3990.0006.050 5.3270.07210.093(50.938)0.000 6.283 2.5070.3990.000。

X-R控制图CPK

- R 控制图
Ca
产品批号工序名称 85度片温产品规格加工设备/编号产品性能: 测量工具温度
测量项目/特性
####
下限值单位
N0.
规格中心值 2012.03.16 数据制表
85.000 范琴琴
上限值测量操作
90.000 范琴琴
80.000 mm
双金属测温台
测量日期
N
日期
时间/批次
1
2
6 4 2
0
79.685 80.700 81.715 82.730 83.745 84.760 85.775 86.790 87.805 88.820
1 82.2 85.1 异常分析 85.5 87
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
尺寸值
判异方法说明：
1 81.100 83.000 83.700 81.600 85.400 82.300 84.800 81.900 84.800 82.200
1.606 0.71 1.038 85.133 81.711 6.239 0.000 83.422 2.950 87.800 80.700 7.100 50
检查件
1.任何超出控制界限的点; 2.连续7点全在中心线一侧 3.连续7点上升或下降; 4.任何其他明显非随机的图形
注: 上表中黄色单元格为填写项.其它会自动生成.每次采样为5个数据,
#### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### #### 样本数量N 直方图

控制图及CPK计算

100.00 100.00 99.60 100.40 100.40 100.20 99.60 100.40 99.80 100.00
99.60 100.60 100.60 100.40 100.20 100.00 100.40 100.60 99.60 99.80 99.60 100.00 100.20 99.60 100.40 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 10.04 9.97 99.80 100.40 100.40 100.00 100.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00 0.00 0.08 0.04 0.00
10.03 10.01 9.99 100.20 100.40 99.80 99.60 100.00 0.00 0.08 0.04 0.00 10.04 9.97
10.03 10.01 9.99 100.00 100.40 100.60 100.20 100.40 0.00 0.08 0.04 0.00 10.04 9.97
10.03 9.99
10.03 10.03 10.03 9.99 9.99 9.99
10.03 9.99 99.80 100.20 99.60 100.00 100.20 0.00 0.08 0.04 0.00
10.03 10.03 10.03 10.03 10.03 10.01 9.99 99.80 9.99 9.99 9.99 9.99
10.03 10.01 9.99 100.20 100.40 100.00 99.80 100.20 0.00 0.08 0.04 0.00 10.04 9.97

CPK控制图

正态分布
1
频数
1
1
1
1
1
0
0
0
0 0000000
25
0
正态分布曲线
过程能力特足！！
19 20 21 22 23
数据值
462.30 464.00 465.70
#DIV/0! #DIV/0!
0000 数据区间
24
25
cpk控制图
制程名称制造部门
成品检查
项目线体
下公差限
464.00 462.30
上公差规格中线
1.70 464.00
下公差上公差限
1.70 465.70
控制限
mm
日期
审核
UCLx #DIV/0! AVERx #DIV/0! UCLr #DIV/0! AVERr #DIV/0!
21 22 23 24
21 22 23 24
16 17 18
R图 25
统计特
样本容量工程规范下限 (LSL) 规格中线工程规范上限 (USL) 总和读数均值 (X) 最大值最小值低于下控制线点数(X) 高于上控制线点数(X) 极差均值R d2 （n＝2、3、4、5）能力指数上限(CPU) 能力指数下限 (CPL) 稳定过程能力指数 (Cp) 稳定过程能力指数 (Cpk) 能力比率 (CR) 标准偏差（n-1) 标准偏差 (n) 变异 (n-1) 变异 (n) 性能指数 (PP) 性能比率 (PR) 性能指数 (Ppk)
极差
1.50
1.00
0.50
0.00 1
234 R Value
控制图表现：
过程能力分析：
n
1
2
3

CPK计算-控制图

案例分析：
某工厂生产一产品，要求对产品的管电压进行质量控制，质检员按要求总计抽样了125个样本，其抽样方法为每小时5PCS，共计抽样25次！现要求对这些样本进行计算，得出如下数据：
XUCL Xbar Xlcl RUCL Rbar Rlcl Ca Cp Cpk δa
要求：
＜１＞：所有质量指标之解答皆要有明确而详细的解答过程！
＜２＞：精确到小数点后第三位！
抽样所得资料如下：
计算过程中会用到的常数：
A2=0.58 D3=0 D4=2.11 d2=2.33 USL=671 LSL=549 SL=610
XUCL Xbar Xlcl RUCL Rbar Rlcl Ca Cp Cpk δa
制图
说明:
<1> 描点与绘图时,要求将各图的管制上下限及中心线的值标记在图中,中心线为实线,管制上下限在图中以虚线表示!
<2> 描点后，点与点之间依次以虚线连结，所有图形之描绘应力求简洁美观！
均值图UCL=___ CL=___ LCL=___
组1 组2 组3 组4 组5 组6 组7 组8 组9 组10 组11 组12 组13 组14组15组16组17组18组19组20组21组22组23组24组25 极差图UCL=___ CL=___ LCL=___
组1 组2 组3 组4 组5 组6 组7 组8 组9 组10 组11 组12 组13 组14 组15 组16组17组18组19组20组21组22组23 组24组25。

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2 149.7 150.0 151.0 150.0 149.8 750.500 150.100 150.190 151.192 149.189 1.300 1.372 3.128 0.000
3 151.0 150.5 149.8 149.7 150.7 751.700 150.340 150.190 151.192 149.189 1.300 1.372 3.128 0.000
20 151.0 150.2 149.8 149.7 150.2 750.900 150.180 150.190 151.192 149.189 1.300 1.372 3.128 0.000
21 149.4 150.2 150.3 149.6 150.7 750.200 150.040 150.190 151.192 149.189 1.300 1.372 3.128 0.000
审核/
6 149.8 149.6 150.1 149.9 151.1 750.500 150.100 150.190 151.192 149.189 1.500 1.372 3.128 0.000
7 149.7 151.0 150.3 149.8 150.7 751.500 150.300 150.190 151.192 149.189 1.300 1.372 3.128 0.000
22 149.6 150.1 150.3 150.2 151.0 751.200 150.240 150.190 151.192 149.189 1.400 1.372 3.128 0.000
23 149.6 150.2 150.8 149.9 151.0 751.500 150.300 150.190 151.192 149.189 1.400 1.372 3.128 0.000
MFG 零件名称
K215进风箱罩盖
Work Station 机器编号游标卡尺/DZC-1
品质特性規格值
150.0
公差上限公差下限
153.0 147.0
組容/頻度图号
5/每天 16486696
Status Date
2018.4.15
AVERAGES（X BAR CHART ）
●
X=AVE（X）= 150.190
14 150.6 150.2 149.6 149.7 151.0 751.100 150.220 150.190 151.192 149.189 1.400 1.372 3.128 0.000
15 149.6 151.0 150.2 149.6 149.8 750.200 150.040 150.190 151.192 149.189 1.400 1.372 3.128 0.000
24 150.5 150.6 149.3 149.9 150.5 750.800 150.160 150.190 151.192 149.189 1.300 1.372 3.128 0.000
25 149.6 150.0 149.7 150.1 151.0 750.400 150.080 150.190 151.192 149.189 1.400 1.372 3.128 0.000
8 149.7 150.3 151.0 149.7 150.2 750.900 150.180 150.190 151.192 149.189 1.300 1.372 3.128 0.000
9 150.2 151.0 149.8 150.0 149.6 750.600 150.120 150.190 151.192 149.189 1.400 1.372 3.128 0.000
1.406
RANGES（R CHART ）
樣本序列
檢
1
查
2
記
3 4
錄
5
TOTAL
AVERAGE(X)
CLX UCLX LCLX
MAX-MIN(R)
CLR UCLR LCLR
制表/日
1 149.6 151.0 150.3 149.7 151.0 751.600 150.320 150.190 151.192 149.189 1.400 1.372 3.128 0.000
MAX-MIN(R)
4 0.73
*
2.28 2.06
5 0.58
*
2.11 2.33
UCL
CL
UCL
LCL
6 0.48
*
2.00 2.53
7 0.42 0.08 1.92 2.70
8 0.37 0.14 1.86 2.85
9 0.34 0.18 1.82 2.97
CL
10 0.31 0.22 1.78 3.08
151.500
151.000
150.500
15.000
UCLX=X+A2R= 151.192
LCLX=X-A2R= 149.189
AVERAGE(X)
UCL
CL
UCL
LCL
CL
Note
●對特殊原因說明： *任何超出控制限的点 *连续7点在中心线之上或之下 *连续7点上升/下降 *任何其它明显非随机的图形 ●采取措施的说明 ①不要对过程做不必要改变 ②注明对过程因素（人机料法环或MS）所做的调整 ③
10 149.6 150.0 150.1 149.8 151.1 750.600 150.120 150.190 151.192 149.189 1.500 1.372 3.128 0.000
11 149.6 150.2 151.0 150.3 149.8 750.900 150.180 150.190 151.192 149.189 1.400 1.372 3.128 0.000
批准/
12 149.7 149.8 150.1 149.7 151.0 750.300 150.060 150.190 151.192 149.189 1.300 1.372 3.128 0.000
13 149.9 151.3 150.0 150.2 150.0 751.400 150.280 150.190 151.192 149.189 1.400 1.372 3.128 0.000
16 150.1 149.9 149.7 150.0 151.2 750.900 150.180 150.190 151.192 149.189 1.500 1.372 3.128 0.000
17 149.6 150.3 151.0 149.6 150.8 751.300 150.260 150.190 151.192 149.189 1.400 1.372 3.128 0.000
1.在确定Cpk前过程必须受控
2.组容＜7时没有极差下控制限
0.500 0.000
UCL
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
●Cpk = Min ( USL-X X-LSL )≥1.33 3R/d2 3R/d2
=Min( 1.406 1.597 ) =
18 149.5 150.2 150.8 149.7 150.8 751.000 150.200 150.190 151.192 149.189 1.300 1.372 3.128 0.000
19 150.8 149.9 151.1 149.7 150.2 751.700 150.340 150.190 151.192 149.189 1.400 1.372 3.128 0.000
4 149.6 151.0 149.7 150.6 149.7 750.600 150.120 150.190 151.192 149.189 1.400 1.372 3.128 0.000
5 151.0 150.2 150.3 149.7 150.3 751.500 150.300 150.190 151.192 149.189 1.300 1.372 3.128 0.000
148.500 148.000
LCL
组容 A2
D3
D4
d2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
2 1.88
*
3.27 1.13
●
R=AVE（R）= 1.372
UCLR=D4R= 3.128
LCLR=D3R= 0.000
3 1.02
*
2.57 1.69
3.500 3.000 2.500 2.000 1.500 1.000

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