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SPC Calculation

The document outlines the calculations required for Statistical Process Control (SPC) focusing on one-sided tolerance dimensions. It includes instructions to compute Cp, Cpk, and control limits (USL, UCL, LSL, LCL), as well as to create Xbar and R charts based on provided data. The data consists of actual measurements and subgroup statistics necessary for the analysis.

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parveen
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© © All Rights Reserved
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0% found this document useful (0 votes)
49 views79 pages

SPC Calculation

The document outlines the calculations required for Statistical Process Control (SPC) focusing on one-sided tolerance dimensions. It includes instructions to compute Cp, Cpk, and control limits (USL, UCL, LSL, LCL), as well as to create Xbar and R charts based on provided data. The data consists of actual measurements and subgroup statistics necessary for the analysis.

Uploaded by

parveen
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
You are on page 1/ 79

SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data. (Sub Group size is 5)

Specification Dimn 10.00-0.1/-0.15


SI No Actual Data Xbar R Xdbar
1 9.856 9.86226666667
2 9.884
3 9.851 9.859 0.033 Sigma
4 9.851 Subgroup size
5 9.853 USL
6 9.851 LSL
7 9.856 D4
8 9.874 9.862 0.023 D3
9 9.857 A2
10 9.872 Cp
11 9.851 Cpl
12 9.852 Cpm
13 9.852 9.8578 0.021 Cpk
14 9.862
15 9.872
16 9.869
17 9.867
18 9.882 9.869 0.02
19 9.862
20 9.865
21 9.862
22 9.861
23 9.882 9.8686 0.021
24 9.863
25 9.875
26 9.865
27 9.865
28 9.851 9.8572 0.014
29 9.853
30 9.852
SPC for One sided Tolerance

ease calculate the below thing .

Xbar chart calculations


Rbar d2 LCL -2s limit -1s limit Xdbar +1s limit +2s limit
0.0219999999999994 2.326 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
0.00422987923516715 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
5 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.9 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.85
2.114 R chart calculations
0 LCL Rbar R UCL
0.577 0.012694 0.046508 0.022 0.033 0
1.97 0.012690 0.046508 0.022 0.023 0
0.96666799725488 0.046508 0.022 0.021 0
2.97355481764265 0.046508 0.022 0.02 0
0.97 0.046508 0.022 0.021 0
9.88 Xbar chart
9.875

9.87

9.865

9.86
UCL Xbar
9.855
9.874956 9.859
9.874956 9.862 9.85
9.874956 9.8578
9.874956 9.869 9.845
9.874956 9.8686
9.84

9.835
LCL -2s limit -1s limit

LCL -2s limit -1s limit Xdbar

R chart
0.05
0.045
0.04
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0
1 2 3

LCL Rbar R
Xbar chart

-1s limit Xdbar +1s limit

Xdbar +1s limit +2s limit UCL Xbar

R chart

3 4 5

LCL Rbar R UCL


SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data. (Sub Group size is 5)

Specification Dimn 9.80+0.05/+0.1


SI No Actual Data Xbar R Xdbar
1 9.856 9.862267
2 9.884
3 9.851 Sigma
9.859 0.033
Subgroup
4 9.851 size
5 9.853 USL
6 9.851 LSL
7 9.856 D4
8 9.874 9.862 0.023 D3
9 9.857
10 9.872 Cp
11 9.851 Cpl
12 9.852 Cpm
13 9.852 9.8578 0.021 Cpk
14 9.862
15 9.872
16 9.869
17 9.867
18 9.882 9.869 0.02
19 9.862
20 9.865
21 9.862
22 9.861
23 9.882 9.8686 0.021
24 9.863
25 9.875
26 9.865
27 9.865
28 9.851 9.8572 0.014
29 9.853
30 9.852
SPC for One sided Tolerance

ed . Please calculate the below thing .

Xbar chart calculations


Rbar d2 LCL -2s limit -1s limit Xdbar +1s limit +2s limit
0.0219999999999994 2.326 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
0.00422987923516715 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251

5 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251


9.9 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.85
2.114 R chart calculations
0 LCL Rbar R UCL
0.046508 0.022 0.033 0
1.97 0.046508 0.022 0.023 0
0.96666799725488 0.046508 0.022 0.021 0
2.97355481764265 0.046508 0.022 0.02 0
0.97 0.046508 0.022 0.021 0
9.88 Xbar chart
9.875

9.87

9.865

9.86
UCL Xbar
9.874956 9.859 9.855
9.874956 9.862
9.874956 9.8578 9.85

9.845
9.874956 9.869
9.874956 9.8686 9.84

9.835
LCL -2s limit -1s limit

LCL -2s limit -1s limit Xdbar

R chart
0.05
0.045
0.04
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0
1 2 3

LCL Rbar R
Xbar chart

-1s limit Xdbar +1s limit

Xdbar +1s limit +2s limit UCL Xbar

R chart

3 4 5

LCL Rbar R UCL


SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data. (Sub Group size is 5)

Specification Dimn 9.8-0.05/+0.1


SI No Actual Data Xbar R Xdbar
1 9.856 9.862267
2 9.884
3 9.851 Sigma
9.859 0.033
Subgroup
4 9.851 size
5 9.853 USL
6 9.851 LSL
7 9.856 D4
8 9.874 9.862 0.023 D3
9 9.857
10 9.872 Cp
11 9.851 Cpl
12 9.852 Cpm
13 9.852 9.8578 0.021 Cpk
14 9.862
15 9.872
16 9.869
17 9.867
18 9.882 9.869 0.02
19 9.862
20 9.865
21 9.862
22 9.861
23 9.882 9.8686 0.021
24 9.863
25 9.875
26 9.865
27 9.865
28 9.851 9.8572 0.014
29 9.853
30 9.852
SPC for One sided Tolerance

ed . Please calculate the below thing .

Xbar chart calculations


Rbar d2 LCL -2s limit -1s limit Xdbar +1s limit +2s limit
0.0219999999999994 2.326 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
0.00422987923516715 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251

5 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251


9.9 9.849577 9.853807 9.858037 9.862267 9.866497 9.8707264251
9.75
2.114 R chart calculations
0 LCL Rbar R UCL
0.046508 0.022 0.033 0
5.91 0.046508 0.022 0.023 0
8.8471136270498 0.046508 0.022 0.021 0
2.97355481764265 0.046508 0.022 0.02 0
2.97 0.046508 0.022 0.021 0
9.88 Xbar chart
9.875

9.87

9.865

9.86
UCL Xbar
9.874956 9.859 9.855
9.874956 9.862
9.874956 9.8578 9.85

9.845
9.874956 9.869
9.874956 9.8686 9.84

9.835
LCL -2s limit -1s limit

LCL -2s limit -1s limit Xdbar

R chart
0.05
0.045
0.04
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0
1 2 3

LCL Rbar R
Xbar chart

-1s limit Xdbar +1s limit

Xdbar +1s limit +2s limit UCL Xbar

R chart

3 4 5

LCL Rbar R UCL


SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data but these data from the batch process and no subgroup .

Subgroup
Specification 9.85+0.1 size 2
SI No Actual Data MR Xbar 9.863528
1 9.856 MRbar 0.008887
2 9.884 0.028 d2 1.128
3 9.851 0.033 Sigma 0.005571
4 9.851 0 D4 3.267
5 9.853 0.002 D3 0
6 9.851 0.002 USL 9.95
7 9.856 0.005 LSL 9.85
8 9.874 0.018 Cp 2.991665
9 9.857 0.017 Cpm 5.173905
10 9.872 0.015 Cpl 0.809425
11 9.851 0.021 Cpk 0.809425
12 9.852 0.001
13 9.852 0
14 9.862 0.01
15 9.872 0.01
16 9.869 0.003
17 9.867 0.002
18 9.882 0.015
19 9.862 0.02
20 9.865 0.003
21 9.862 0.003
22 9.861 0.001
23 9.882 0.021
24 9.863 0.019
25 9.875 0.012
26 9.865 0.01
27 9.865 0
28 9.851 0.014
29 9.853 0.002
30 9.852 0.001
31 9.857 0.005
32 9.872 0.015
33 9.851 0.021
34 9.852 0.001
35 9.852 0
36 9.862 0.01
37 9.872 0.01
38 9.869 0.003
39 9.867 0.002
40 9.882 0.015
41 9.862 0.02
42 9.865 0.003
43 9.862 0.003
44 9.861 0.001
45 9.882 0.021
46 9.872 0.01
47 9.851 0.021
48 9.852 0.001
49 9.852 0
50 9.862 0.01
51 9.872 0.01
52 9.869 0.003
53 9.867 0.002
54 9.882 0.015
55 9.862 0.02
56 9.865 0.003
57 9.862 0.003
58 9.861 0.001
59 9.882 0.021
60 9.863 0.019
61 9.875 0.012
62 9.865 0.01
63 9.865 0
64 9.851 0.014
65 9.853 0.002
66 9.852 0.001
67 9.857 0.005
68 9.872 0.015
69 9.851 0.021
70 9.852 0.001
71 9.852 0
72 9.862 0.01
73 9.872 0.01
74 9.869 0.003
75 9.867 0.002
76 9.882 0.015
77 9.875 0.007
78 9.865 0.01
79 9.865 0
80 9.851 0.014
81 9.853 0.002
82 9.852 0.001
83 9.857 0.005
84 9.872 0.015
85 9.851 0.021
86 9.852 0.001
87 9.852 0
88 9.862 0.01
89 9.872 0.01
90 9.869 0.003
91 9.867 0.002
92 9.882 0.015
93 9.862 0.02
94 9.865 0.003
95 9.862 0.003
96 9.861 0.001
97 9.882 0.021
98 9.863 0.019
99 9.875 0.012
100 9.865 0.01
101 9.865 0
102 9.851 0.014
103 9.853 0.002
104 9.852 0.001
105 9.857 0.005
106 9.872 0.015
107 9.851 0.021
108 9.852 0.001
109 9.852 0
110 9.862 0.01
111 9.872 0.01
112 9.869 0.003
113 9.867 0.002
114 9.882 0.015
115 9.862 0.02
116 9.865 0.003
117 9.862 0.003
118 9.861 0.001
119 9.882 0.021
120 9.872 0.01
121 9.851 0.021
122 9.872 0.021
123 9.869 0.003
124 9.867 0.002
125 9.882 0.015
late the below thing .

d no subgroup .

Control limits - I Chart Control limits - MR Chart

LCL -2s limit -1s limit Xbar +1s limit +2s limit UCL X UCL MRbar LCL
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.856
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.884 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.853 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.856 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.874 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.857 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.861 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.863 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.875 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.853 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.857 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.861 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.861 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.863 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.875 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.853 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.857 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.875 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.853 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.857 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.861 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.863 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.875 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.853 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.857 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.852 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.865 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.862 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.861 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.851 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.872 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.869 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.867 0.029034 0.008887 0
9.846815 9.852386 9.857957 9.863528 9.869099 9.87467 9.880241 9.882 0.029034 0.008887 0
imits - MR Chart
I Chart
MR
9.89
0.028
0.033
0
0.002 9.88
0.002
0.005
0.018
0.017
9.87
0.015
0.021
0.001
0
0.01 9.86
0.01
0.003
0.002
0.015 9.85
0.02
0.003
0.003
0.001
9.84
0.021
0.019
0.012
0.01
0 9.83
0.014
0.002
0.001
0.005 9.82
0.015 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79

0.021
LCL -2s limit -1s limit Xbar +1s limit +2
0.001
0
0.01
MR Chart
0.01
0.035

0.03
MR Chart
0.003 0.035
0.002
0.015
0.02 0.03
0.003
0.003
0.001 0.025
0.021
0.01
0.021 0.02
0.001
0
0.01
0.015
0.01
0.003
0.002
0.01
0.015
0.02
0.003
0.003 0.005

0.001
0.021
0.019 0
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 7
0.012
0.01 UCL MRbar LCL MR
0
0.014
0.002
0.001
0.005
0.015
0.021
0.001
0
0.01
0.01
0.003
0.002
0.015
0.007
0.01
0
0.014
0.002
0.001
0.005
0.015
0.021
0.001
0
0.01
0.01
0.003
0.002
0.015
0.02
0.003
0.003
0.001
0.021
0.019
0.012
0.01
0
0.014
0.002
0.001
0.005
0.015
0.021
0.001
0
0.01
0.01
0.003
0.002
0.015
0.02
0.003
0.003
0.001
0.021
0.01
0.021
0.021
0.003
0.002
0.015
Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

bar +1s limit +2s limit UCL X

R Chart
R Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

Rbar LCL MR
SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data but these data from the batch process and no subgroup .

Perpendicularity WRT A is Subgroup


Specification 0.3mm size 2
SI No Actual Data MR Xbar 0.24908
1 0.256 MRbar 0.028685
2 0.284 0.028 d2 1.128
3 0.251 0.033 Sigma 0.017982
4 0.251 0 D4 3.267
5 0.253 0.002 D3 0
6 0.251 0.002 USL 0.3
7 0.256 0.005 LSL 0
8 0.274 0.018
9 0.173 0.101 Cpm 0.943907
10 0.272 0.099 Cpl 4.617209
11 0.251 0.021 Cpk 0.943907
12 0.252 0.001
13 0.252 0
14 0.262 0.01
15 0.272 0.01
16 0.269 0.003
17 0.267 0.002
18 0.185 0.082
19 0.262 0.077
20 0.265 0.003
21 0.262 0.003
22 0.261 0.001
23 0.185 0.076
24 0.263 0.078
25 0.275 0.012
26 0.265 0.01
27 0.265 0
28 0.245 0.02
29 0.253 0.008
30 0.252 0.001
31 0.173 0.079
32 0.247 0.074
33 0.251 0.004
34 0.252 0.001
35 0.252 0
36 0.244 0.008
37 0.272 0.028
38 0.269 0.003
39 0.267 0.002
40 0.185 0.082
41 0.262 0.077
42 0.265 0.003
43 0.262 0.003
44 0.261 0.001
45 0.185 0.076
46 0.272 0.087
47 0.251 0.021
48 0.252 0.001
49 0.252 0
50 0.262 0.01
51 0.272 0.01
52 0.269 0.003
53 0.267 0.002
54 0.185 0.082
55 0.248 0.063
56 0.265 0.017
57 0.262 0.003
58 0.237 0.025
59 0.185 0.052
60 0.263 0.078
61 0.275 0.012
62 0.265 0.01
63 0.265 0
64 0.251 0.014
65 0.253 0.002
66 0.252 0.001
67 0.173 0.079
68 0.272 0.099
69 0.251 0.021
70 0.252 0.001
71 0.252 0
72 0.262 0.01
73 0.272 0.01
74 0.269 0.003
75 0.267 0.002
76 0.185 0.082
77 0.275 0.09
78 0.265 0.01
79 0.205 0.06
80 0.251 0.046
81 0.253 0.002
82 0.252 0.001
83 0.179 0.073
84 0.272 0.093
85 0.251 0.021
86 0.252 0.001
87 0.252 0
88 0.262 0.01
89 0.272 0.01
90 0.236 0.036
91 0.267 0.031
92 0.185 0.082
93 0.262 0.077
94 0.212 0.05
95 0.262 0.05
96 0.261 0.001
97 0.185 0.076
98 0.263 0.078
99 0.275 0.012
100 0.265 0.01
101 0.265 0
102 0.251 0.014
103 0.253 0.002
104 0.252 0.001
105 0.178 0.074
106 0.272 0.094
107 0.251 0.021
108 0.252 0.001
109 0.252 0
110 0.262 0.01
111 0.272 0.01
112 0.269 0.003
113 0.267 0.002
114 0.185 0.082
115 0.262 0.077
116 0.265 0.003
117 0.262 0.003
118 0.261 0.001
119 0.185 0.076
120 0.272 0.087
121 0.251 0.021
122 0.272 0.021
123 0.269 0.003
124 0.267 0.002
125 0.185 0.082
late the below thing .

d no subgroup .

Control limits - I Chart Control limits - MR Chart

LCL -2s limit -1s limit Xbar +1s limit +2s limit UCL X UCL MRbar LCL
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.256
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.284 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.253 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.256 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.274 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.173 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.261 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.263 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.275 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.245 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.253 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.173 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.247 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.244 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.261 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.248 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.237 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.263 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.275 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.253 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.173 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.275 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.205 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.253 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.179 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.236 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.212 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.261 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.263 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.275 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.253 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.178 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.252 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.265 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.262 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.261 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.251 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.272 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.269 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.267 0.093715 0.028685 0
0.195134 0.213116 0.231098 0.24908 0.267062 0.285044 0.303026 0.185 0.093715 0.028685 0
imits - MR Chart
I Chart
MR
0.35
0.028
0.033
0
0.002 0.3
0.002
0.005
0.018
0.101
0.25
0.099
0.021
0.001
0
0.01 0.2
0.01
0.003
0.002
0.082 0.15
0.077
0.003
0.003
0.001
0.1
0.076
0.078
0.012
0.01
0 0.05
0.02
0.008
0.001
0.079 0
0.074 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79

0.004
LCL -2s limit -1s limit Xbar +1s limit +2
0.001
0
0.008
MR Chart
0.028
0.12
MR Chart
0.003 0.12
0.002
0.082
0.077
0.1
0.003
0.003
0.001
0.076 0.08
0.087
0.021
0.001
0 0.06
0.01
0.01
0.003
0.04
0.002
0.082
0.063
0.017 0.02
0.003
0.025
0.052
0.078 0
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79
0.012
0.01 UCL MRbar LCL MR
0
0.014
0.002
0.001
0.079
0.099
0.021
0.001
0
0.01
0.01
0.003
0.002
0.082
0.09
0.01
0.06
0.046
0.002
0.001
0.073
0.093
0.021
0.001
0
0.01
0.01
0.036
0.031
0.082
0.077
0.05
0.05
0.001
0.076
0.078
0.012
0.01
0
0.014
0.002
0.001
0.074
0.094
0.021
0.001
0
0.01
0.01
0.003
0.002
0.082
0.077
0.003
0.003
0.001
0.076
0.087
0.021
0.021
0.003
0.002
0.082
Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

bar +1s limit +2s limit UCL X

R Chart
R Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

Rbar LCL MR
SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data. (Sub Group size is 5)

Perpendicularity WRT A is
Specification 0.3mm
SI No Actual Data Xbar R Xdbar
1 0.256 0.24908
2 0.284
3 0.251 Sigma
0.259 0.033
Subgroup
4 0.251 size
5 0.253 USL
6 0.251 LSL
7 0.256 D4
8 0.274 0.2452 0.101 D3
9 0.173
10 0.272
11 0.251 Cpl
12 0.252 Cpm
13 0.252 0.2578 0.021 Cpk
14 0.262
15 0.272
16 0.269
17 0.267
18 0.185 0.2496 0.084
19 0.262
20 0.265
21 0.262
22 0.261
23 0.185 0.2492 0.09
24 0.263
25 0.275
26 0.265
27 0.265
28 0.245 0.256 0.02
29 0.253
30 0.252
31 0.173
32 0.247
33 0.251 0.235 0.079
34 0.252
35 0.252
36 0.244
37 0.272
0.2474 0.087
38 0.269 0.2474 0.087
39 0.267
40 0.185
41 0.262
42 0.265
43 0.262 0.247 0.08
44 0.261
45 0.185
46 0.272
47 0.251
48 0.252 0.2578 0.021
49 0.252
50 0.262
51 0.272
52 0.269
53 0.267 0.2482 0.087
54 0.185
55 0.248
56 0.265
57 0.262
58 0.237 0.2424 0.08
59 0.185
60 0.263
61 0.275
62 0.265
63 0.265 0.2618 0.024
64 0.251
65 0.253
66 0.252
67 0.173
68 0.272 0.24 0.099
69 0.251
70 0.252
71 0.252
72 0.262
73 0.272 0.2644 0.02
74 0.269
75 0.267
76 0.185
77 0.275
78 0.265 0.2362 0.09
79 0.205
80 0.251
81 0.253
82 0.252
83 0.179 0.2414 0.093
84 0.272
85 0.251
86 0.252
87 0.252
88 0.262 0.2548 0.036
89 0.272
90 0.236
91 0.267
92 0.185
93 0.262 0.2376 0.082
94 0.212
95 0.262
96 0.261
97 0.185
98 0.263 0.2498 0.09
99 0.275
100 0.265
101 0.265
102 0.251
103 0.253 0.2398 0.087
104 0.252
105 0.178
106 0.272
107 0.251
108 0.252 0.2578 0.021
109 0.252
110 0.262
111 0.272
112 0.269
113 0.267 0.251 0.087
114 0.185
115 0.262
116 0.265
117 0.262
118 0.261 0.249 0.087
119 0.185
120 0.272
121 0.251
122 0.272
123 0.269 0.2488 0.087
124 0.267
125 0.185
SPC for One sided Tolerance

ed . Please calculate the below thing .

Xbar chart calculations


Rbar d2 LCL -2s limit -1s limit Xdbar +1s limit +2s limit
0.06744 2.326 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.0129665025281673 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051

5 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051


0.3 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
2.114 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
6.40316588735526 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
1.30901399945451 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
1.31 0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
0.21018 0.223147 0.236113 0.24908 0.262047 0.2750130051
R chart calculations
UCL Xbar R LCL Rbar UCL
0.35
0.28798 0.259 0.033 0.142568 0.06744 0
0.28798 0.2452 0.101 0.142568 0.06744 0
0.28798 0.2578 0.021 0.142568 0.06744 0 0.3

0.28798 0.2496 0.084 0.142568 0.06744 0 0.25


0.28798 0.2492 0.09 0.142568 0.06744 0
0.28798 0.256 0.02 0.142568 0.06744 0
0.28798 0.235 0.079 0.142568 0.06744 0 0.2

0.28798 0.2474 0.087 0.142568 0.06744 0


0.28798 0.247 0.08 0.142568 0.06744 0 0.15
0.28798 0.2578 0.021 0.142568 0.06744 0
0.28798 0.2482 0.087 0.142568 0.06744 0
0.1
0.28798 0.2424 0.08 0.142568 0.06744 0
0.28798 0.2618 0.024 0.142568 0.06744 0
0.28798 0.24 0.099 0.142568 0.06744 0 0.05

0.28798 0.2644 0.02 0.142568 0.06744 0


0.28798 0.24 0.099 0.142568 0.06744 0 0
1 2 3 4 5 6 7
0.28798 0.2362 0.09 0.142568 0.06744 0
0.28798 0.2414 0.093 0.142568 0.06744 0
0.28798 0.2548 0.036 0.142568 0.06744 0
0.28798 0.2376 0.082 0.142568 0.06744 0
0.28798 0.2498 0.09 0.142568 0.06744 0
0.28798 0.2398 0.087 0.142568 0.06744 0 0.16
0.28798 0.2578 0.021 0.142568 0.06744 0
0.28798 0.251 0.087 0.142568 0.06744 0 0.14
0.28798 0.249 0.087 0.142568 0.06744 0
0.28798 0.2488 0.087 0.142568 0.06744 0 0.12

0.1

0.08

0.06

0.04

0.02

0
1 2 3 4 5 6 7
0.04

0.02

0
1 2 3 4 5 6 7
X bar Chart

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2

LCL -2s limit -1s limit Xdbar +1s limit +2s limit UCL Xbar

R Chart

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2

R LCL Rbar UCL


4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2

R LCL Rbar UCL


19 20 21 22 23 24 25 26

Xbar

19 20 21 22 23 24 25 26
19 20 21 22 23 24 25 26
SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data but these data from the batch process and no subgroup .

Subgroup
Specification 2.99 kn min size 2
SI No Actual Data MR Xbar 6.764504
1 6.90 MRbar 0.421565
2 6.92 0.02 d2 1.128
3 6.90 0.02 Sigma 0.264265
4 6.30 0.6 D4 3.267
5 6.90 0.6 D3 0
6 6.30 0.6 USL
7 6.90 0.6 LSL 2.99
8 6.92 0.02
9 6.40 0.52 Cpm -8.53247
10 6.30 0.1 Cpl 4.761006
11 6.20 0.1 Cpk -8.53247
12 6.90 0.7
13 6.70 0.2
14 6.20 0.5
15 6.20 0
16 6.30 0.1
17 6.70 0.4
18 6.90 0.2
19 6.70 0.2
20 6.80 0.1
21 6.90 0.1
22 6.90 0
23 6.80 0.1
24 6.40 0.4
25 6.80 0.4
26 6.45 0.35
27 6.66 0.21
28 7.34 0.68
29 5.67 1.67
30 6.78 1.11
31 6.63 0.15
32 6.78 0.15
33 6.67 0.11
34 6.90 0.23
35 6.45 0.45
36 6.78 0.33
37 6.98 0.2
38 6.78 0.2
39 6.52 0.26
40 6.43 0.09
41 6.21 0.22
42 6.40 0.19
43 5.67 0.73
44 6.90 1.23
45 6.34 0.56
46 5.65 0.69
47 6.77 1.12
48 7.03 0.26
49 6.54 0.49
50 6.32 0.22
51 6.35 0.03
52 6.45 0.1
53 6.90 0.45
54 7.72 0.82
55 7.06 0.66
56 7.25 0.19
57 6.45 0.8
58 5.78 0.67
59 5.68 0.1
60 6.78 1.1
61 6.70 0.08
62 6.90 0.2
63 7.34 0.44
64 6.78 0.56
65 7.23 0.45
66 7.23 0
67 7.34 0.11
68 7.45 0.11
69 6.78 0.67
70 6.54 0.24
71 6.45 0.09
72 6.54 0.09
73 7.23 0.69
74 7.12 0.11
75 7.65 0.53
76 7.43 0.22
77 7.10 0.33
78 7.34 0.24
79 7.45 0.11
80 7.78 0.33
81 7.10 0.677
82 7.82 0.717
83 7.14 0.68
84 7.80 0.66
85 8.10 0.3
86 5.78 2.32
87 4.90 0.88
88 5.78 0.88
89 5.56 0.22
90 5.67 0.11
91 5.66 0.01
92 5.78 0.12
93 5.43 0.35
94 6.78 1.35
95 6.34 0.44
96 6.59 0.25
97 7.23 0.64
98 7.14 0.09
99 6.97 0.17
100 6.14 0.83
101 7.14 1
102 7.89 0.75
103 7.03 0.86
104 7.43 0.4
105 6.89 0.54
106 7.03 0.14
107 6.43 0.6
108 6.65 0.22
109 7.53 0.88
110 7.03 0.5
111 7.88 0.85
112 7.24 0.64
113 7.89 0.65
114 7.34 0.55
115 7.34 0
116 7.03 0.31
117 6.67 0.36
118 6.55 0.12
119 6.89 0.34
120 7.04 0.15
121 7.34 0.3
122 7.22 0.12
123 6.65 0.57
124 6.35 0.3
125 6.78 0.43
late the below thing .

d no subgroup .

Control limits - I Chart Control limits - MR Chart

LCL -2s limit -1s limit Xbar +1s limit +2s limit UCL X UCL MRbar LCL
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.9
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.92 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.30 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.30 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.92 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.40 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.30 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.20 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.70 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.20 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.20 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.30 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.70 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.70 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.80 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.80 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.40 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.80 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.66 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.67 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.63 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.67 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.98 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.52 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.43 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.21 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.40 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.67 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.65 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.77 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.03 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.54 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.32 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.35 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.72 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.06 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.25 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.68 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.70 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.23 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.23 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.54 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.54 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.23 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.12 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.65 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.43 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.10 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.45 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.10 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.82 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.14 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.80 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 8.10 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 4.90 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.56 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.67 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.66 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 5.43 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.59 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.23 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.14 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.97 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.14 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.14 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.89 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.03 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.43 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.89 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.03 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.43 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.65 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.53 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.03 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.88 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.24 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.89 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.03 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.67 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.55 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.89 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.04 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.34 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 7.22 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.65 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.35 1.377251 0.421565 0
5.971708 6.235974 6.500239 6.764504 7.028769 7.293034 7.5573 6.78 1.377251 0.421565 0
imits - MR Chart
I Chart
MR
9
0.02
0.02
0.6 8
0.6
0.6
0.6
7
0.02
0.52
0.1
0.1 6
0.7
0.2
0.5
5
0
0.1
0.4
0.2 4
0.2
0.1
0.1 3
0
0.1
0.4
2
0.4
0.35
0.21
0.68 1
1.67
1.11
0.15 0
0.15 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79

0.11
LCL -2s limit -1s limit Xbar +1s limit +2
0.23
0.45
0.33
MR Chart
0.2
2.5
MR Chart
0.2 2.5
0.26
0.09
0.22
0.19 2
0.73
1.23
0.56
0.69
1.5
1.12
0.26
0.49
0.22
0.03 1
0.1
0.45
0.82
0.66
0.5
0.19
0.8
0.67
0.1
1.1 0
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79
0.08
0.2 UCL MRbar LCL MR
0.44
0.56
0.45
0
0.11
0.11
0.67
0.24
0.09
0.09
0.69
0.11
0.53
0.22
0.33
0.24
0.11
0.33
0.677
0.717
0.68
0.66
0.3
2.32
0.88
0.88
0.22
0.11
0.01
0.12
0.35
1.35
0.44
0.25
0.64
0.09
0.17
0.83
1
0.75
0.86
0.4
0.54
0.14
0.6
0.22
0.88
0.5
0.85
0.64
0.65
0.55
0
0.31
0.36
0.12
0.34
0.15
0.3
0.12
0.57
0.3
0.43
Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

bar +1s limit +2s limit UCL X

R Chart
R Chart

61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

Rbar LCL MR
SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data. (Sub Group size is 5)

Perpendicularity WRT A is
Specification 0.3mm
SI No Actual Data Xbar R Xdbar
1 6.90 6.764504
2 6.92
3 6.90 Sigma
6.784 0.62
6.30 Subgroup
4 size
5 6.90 USL
6 6.30 LSL
7 6.90 D4
8 6.92 6.564 0.62 D3
9 6.40
10 6.30
11 6.20 Cpl
12 6.90 Cpm
13 6.70 6.44 0.7 Cpk
14 6.20
15 6.20
16 6.30
17 6.70
18 6.90 6.68 0.6
19 6.70
20 6.80
21 6.90
22 6.90
23 6.80 6.76 0.5
24 6.40
25 6.80
26 6.45
27 6.66
28 7.34 6.58 1.67
29 5.67
30 6.78
31 6.63
32 6.78
33 6.67 6.686 0.45
34 6.90
35 6.45
36 6.78
37 6.98
6.698 0.55
38 6.78 6.698 0.55
39 6.52
40 6.43
41 6.21
42 6.40
43 5.67 6.304 1.23
44 6.90
45 6.34
46 5.65
47 6.77
48 7.03 6.462 1.38
49 6.54
50 6.32
51 6.35
52 6.45
53 6.90 6.896 1.37
54 7.72
55 7.06
56 7.25
57 6.45
58 5.78 6.388 1.57
59 5.68
60 6.78
61 6.70
62 6.90
63 7.34 6.99 0.64
64 6.78
65 7.23
66 7.23
67 7.34
68 7.45 7.068 0.91
69 6.78
70 6.54
71 6.45
72 6.54
73 7.23 6.998 1.2
74 7.12
75 7.65
76 7.43
77 7.10
78 7.34 7.42 0.68
79 7.45
80 7.78
81 7.10
82 7.82
83 7.14 7.5926 0.997
84 7.80
85 8.10
86 5.78
87 4.90
88 5.78 5.538 0.88
89 5.56
90 5.67
91 5.66
92 5.78
93 5.43 5.998 1.35
94 6.78
95 6.34
96 6.59
97 7.23
98 7.14 6.814 1.09
99 6.97
100 6.14
101 7.14
102 7.89
103 7.03 7.276 1
104 7.43
105 6.89
106 7.03
107 6.43
108 6.65 6.934 1.1
109 7.53
110 7.03
111 7.88
112 7.24
113 7.89 7.538 0.65
114 7.34
115 7.34
116 7.03
117 6.67
118 6.55 6.836 0.49
119 6.89
120 7.04
121 7.34
122 7.22
123 6.65 6.868 0.99
124 6.35
125 6.78
SPC for One sided Tolerance

ed . Please calculate the below thing .

Xbar chart calculations


Rbar d2 LCL -2s limit -1s limit Xdbar +1s limit +2s limit
0.92948 2.326 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
0.178708552341058 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047

5 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047


0 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
2.99 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
2.114 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
0 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
7.04033457558784 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
-12.6173853300731 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
-12.62 6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
6.228378 6.407087 6.585795 6.764504 6.943213 7.1219211047
R chart calculations
UCL Xbar R LCL Rbar UCL
8
7.30063 6.784 0.62 1.964921 0.92948 0
7.30063 6.564 0.62 1.964921 0.92948 0
7
7.30063 6.44 0.7 1.964921 0.92948 0

7.30063 6.68 0.6 1.964921 0.92948 0 6

7.30063 6.76 0.5 1.964921 0.92948 0


7.30063 6.58 1.67 1.964921 0.92948 0 5
7.30063 6.686 0.45 1.964921 0.92948 0
7.30063 6.698 0.55 1.964921 0.92948 0 4
7.30063 6.304 1.23 1.964921 0.92948 0
7.30063 6.462 1.38 1.964921 0.92948 0 3
7.30063 6.896 1.37 1.964921 0.92948 0
7.30063 6.388 1.57 1.964921 0.92948 0 2
7.30063 6.99 0.64 1.964921 0.92948 0
7.30063 7.068 0.91 1.964921 0.92948 0 1
7.30063 6.998 1.2 1.964921 0.92948 0
7.30063 7.068 0.91 1.964921 0.92948 0 0
1 2 3 4 5 6 7
7.30063 7.42 0.68 1.964921 0.92948 0
7.30063 7.5926 0.997 1.964921 0.92948 0
7.30063 5.538 0.88 1.964921 0.92948 0
7.30063 5.998 1.35 1.964921 0.92948 0
7.30063 6.814 1.09 1.964921 0.92948 0
7.30063 7.276 1 1.964921 0.92948 0 2.5
7.30063 6.934 1.1 1.964921 0.92948 0
7.30063 7.538 0.65 1.964921 0.92948 0
7.30063 6.836 0.49 1.964921 0.92948 0 2
7.30063 6.868 0.99 1.964921 0.92948 0

1.5

0.5

0
1 2 3 4 5 6 7
0.5

0
1 2 3 4 5 6 7
X bar Chart

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

LCL -2s limit -1s limit Xdbar +1s limit +2s limit UCL Xbar

R Chart

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2

R LCL Rbar UCL


4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2

R LCL Rbar UCL


19 20 21 22 23 24 25 26

Xbar

19 20 21 22 23 24 25 26
19 20 21 22 23 24 25 26
SPC for One sided Tolerance

Q1. Below is the One sided Tolerance Dimension with Data was addressed . Please calculate the below thing .
1.Cp
2. Cpk
3. USL,UCL, LSL, LCL
4. Draw a Xbar and R Chart for the below Data but these data from the batch process and no subgroup .

Perpendicularity WRT A is Subgroup


Specification 0.3mm size 2
SI No Actual Data MR Xbar 903
1 810 MRbar 151.8121
2 870 60 d2 1.128
3 840 30 Sigma 95.16609
4 1020 180 D4 3.267
5 900 120 D3 0
6 870 30 USL 0
7 810 60 LSL 787
8 840 30
9 990 150 Cpm -0.406307
10 840 150 Cpl 3.162891
11 990 150 Cpk -0.406307
12 840 150
13 870 30
14 1020 150
15 840 180
16 960 120
17 810 150
18 870 60
19 1050 180
20 870 180
21 810 60
22 930 120
23 1050 120
24 810 240
25 1050 240
26 870 180
27 810 60
28 1020 210
29 810 210
30 1050 240
31 870 180
32 930 60
33 1050 120
34 840 210
35 870 30
36 1020 150
37 840 180
38 810 30
39 1020 210
40 810 210
41 990 180
42 900 90
43 810 90
44 840 30
45 1020 180
46 870 150
47 810 60
48 900 90
49 1020 120
50 810 210
51 960 150
52 810 150
53 810 0
54 990 180
55 810 180
56 1020 210
57 810 210
58 990 180
59 840 150
60 810 30
61 1020 210
62 810 210
63 1020 210
64 810 210
65 840 30
66 1020 180
67 840 180
68 810 30
69 1020 210
70 810 210
71 1020 210
72 900 120
73 1020 120
74 810 210
75 990 180
76 810 180
77 1020 210
78 810 210
79 1020 210
80 810 210
81 1020 210
82 810 210
83 1020 210
84 810 210
85 1020 210
86 810 210
87 990 180
88 810 180
89 810 0
90 930 120
91 810 120
92 810 0
93 990 180
94 810 180
95 1020 210
96 810 210
97 810 0
98 960 150
99 810 150
100 810 0
101 960 150
102 810 150
103 1020 210
104 810 210
105 990 180
106 810 180
107 1020 210
108 810 210
109 990 180
110 810 180
111 1050 240
112 810 240
113 990 180
114 810 180
115 1080 270
116 900 180
117 810 90
118 1020 210
119 810 210
120 1020 210
121 900 120
122 810 90
123 1020 210
124 930 90
125 810 120
126 1020 210
127 810 210
128 1020 210
129 900 120
130 810 90
131 1020 210
132 930 90
133 810 120
134 1020 210
135 810 210
136 1020 210
137 900 120
138 810 90
139 1020 210
140 930 90
141 810 120
142 1020 210
143 810 210
144 1020 210
145 900 120
146 810 90
147 1020 210
148 930 90
149 810 120
150 810 0
late the below thing .

d no subgroup .

Control limits - I Chart Control limits - MR Chart

LCL -2s limit -1s limit Xbar +1s limit +2s limit UCL X UCL MRbar LCL
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 960 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 870 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 960 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 840 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 960 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 960 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1050 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 990 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1080 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 900 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 1020 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 930 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
617.5017 712.6678 807.8339 903 998.1661 1093.332 1188.498 810 495.9701 151.8121 0
imits - MR Chart
I Chart
MR
1400
60
30
180
120 1200
30
60
30
150
1000
150
150
150
30
150 800
180
120
150
60 600
180
180
60
120
400
120
240
240
180
60 200
210
210
240
180 0
60 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94

120
LCL -2s limit -1s limit Xbar +1s limit +2
210
30
150
MR Chart
180
600
MR Chart
30 600
210
210
180
500
90
90
30
180 400
150
60
90
120 300
210
150
150
200
0
180
180
210 100
210
180
150
30 0
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
210
210 UCL MRbar LCL MR
210
210
30
180
180
30
210
210
210
120
120
210
180
180
210
210
210
210
210
210
210
210
210
210
180
180
0
120
120
0
180
180
210
210
0
150
150
0
150
150
210
210
180
180
210
210
180
180
240
240
180
180
270
180
90
210
210
210
120
90
210
90
120
210
210
210
120
90
210
90
120
210
210
210
120
90
210
90
120
210
210
210
120
90
210
90
120
0
Chart

73 76 79 82 85 88 91 94 97 100103106109112115118121124127130133136139142145148

bar +1s limit +2s limit UCL X

R Chart
R Chart

73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124 127 130 133 136 139 142 145 148

Rbar LCL MR

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