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Page 1: Report Control Charts

WARSAW UNIVERSITY OF TECHNOLOGY

QUMAN EXERCISE : 2, 5, 8 (Group 6)

CONTROL CHART

MOMIN MOHAMMED MUKIT - 265612

DEEPAK PATHANIA – 249736

MD –IE - 24

Page 2: Report Control Charts

Exercise 2 :

Table shows us the 100 scores of measurement of the sleeve made by micrometer.

40.002 40.015 39.995 39.994 39.98639.986 3

40.010 40.005 40.001 39.998 39.98639.99 3

39.998 40.001 39.997 39.992 40.00239.994 9

39.998 40.005 39.999 40.001 40.00639.998 26

40.009 39.993 39.989 40.004 39.98840.002 22

40.012 39.998 39.991 40.008 39.98640.006 13

39.993 40.000 39.998 40.011 40.00940.01 11

39.997 40.006 39.996 39.996 40.01540.014 9

39.999 40.006 40.007 40.003 40.01440.018 4

39.999 40.010 40.014 40.002 40.00340.022 0

40.001 40.009 40.012 40.018 39.99940.026 0

40.014 40.009 40.004 39.997 40.00939.986 3

39.995 39.993 40.012 40.000 40.00939.99 3

40.009 39.999 39.998 39.997 40.01239.994 9

40.002 39.994 39.994 39.996 40.00239.998 26

40.003 39.998 39.999 40.002 40.00140.002 22

40.000 39.997 39.993 40.005 39.99540.006 13

39.997 40.005 39.987 40.011 39.99540.01 11

40.018 40.006 39.995 39.995 39.99640.014 9

40.002 40.001 39.998 39.998 39.99640.018 4

Page 3: Report Control Charts

39.986 39.99 39.994 39.998 40.002 40.006 40.01 40.014 40.018 40.022 40.0260

5

10

15

20

25

30

0

5

10

15

20

25

30

Histogram

Values

Num

ber

XAverage UCL +2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL39.998 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.000 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.998 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.002 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.997 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.999 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.002 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.002 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.006 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.006 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.008 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.007 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.002 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.003 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.998 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.001 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.998 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.999 40.011 40.008 40.004 40.001 39.998 39.995 39.99240.002 40.011 40.008 40.004 40.001 39.998 39.995 39.99239.999 40.011 40.008 40.004 40.001 39.998 39.995 39.992

Page 4: Report Control Charts

139.985

39.986

39.987

39.988

39.989

39.990

39.991

39.992LCL39.9916

X XbarR Chart

Period

Aver

age

UCL – 40.0108

LCL – 39.9916

CL – 40.0012

From the chart above we can conclude that all the values are under control between UPL and LCL.

Page 5: Report Control Charts

Exercise 5 :

Sample No Sample Measurements1 36 35 34 33 2 31 31 34 32 3 30 30 32 30 4 32 33 33 32 5 32 34 37 37 6 32 32 31 33 7 33 33 36 31 8 23 33 36 36 9 43 36 35 31

10 36 35 36 41 11 34 38 35 38 12 36 38 39 40 13 36 40 35 33 14 36 35 37 33 15 30 37 33 35 16 28 31 33 33 17 33 30 34 35 18 27 28 29 30 19 35 36 29 32 20 33 35 35 36

Page 6: Report Control Charts

XMedian UCL +2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL34.5 37.9 36.6 35.2 33.9 32.5 31.2 29.931.5 37.9 36.6 35.2 33.9 32.5 31.2 29.930.0 37.9 36.6 35.2 33.9 32.5 31.2 29.932.5 37.9 36.6 35.2 33.9 32.5 31.2 29.935.5 37.9 36.6 35.2 33.9 32.5 31.2 29.932.0 37.9 36.6 35.2 33.9 32.5 31.2 29.933.0 37.9 36.6 35.2 33.9 32.5 31.2 29.934.5 37.9 36.6 35.2 33.9 32.5 31.2 29.935.5 37.9 36.6 35.2 33.9 32.5 31.2 29.936.0 37.9 36.6 35.2 33.9 32.5 31.2 29.936.5 37.9 36.6 35.2 33.9 32.5 31.2 29.938.5 37.9 36.6 35.2 33.9 32.5 31.2 29.935.5 37.9 36.6 35.2 33.9 32.5 31.2 29.935.5 37.9 36.6 35.2 33.9 32.5 31.2 29.934.0 37.9 36.6 35.2 33.9 32.5 31.2 29.932.0 37.9 36.6 35.2 33.9 32.5 31.2 29.933.5 37.9 36.6 35.2 33.9 32.5 31.2 29.928.5 37.9 36.6 35.2 33.9 32.5 31.2 29.933.5 37.9 36.6 35.2 33.9 32.5 31.2 29.935.0 37.9 36.6 35.2 33.9 32.5 31.2 29.9

Page 7: Report Control Charts

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2027.2

29.2

31.2

33.2

35.2

37.2

39.2 UCL 37.9

CL 33.9

LCL 29.9

Median Chart

Period

Med

ian

Valu

es

Range UCL +2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL3.0 11.5 9.4 7.2 5.1 2.9 0.7 0.03.0 11.5 9.4 7.2 5.1 2.9 0.7 0.02.0 11.5 9.4 7.2 5.1 2.9 0.7 0.01.0 11.5 9.4 7.2 5.1 2.9 0.7 0.05.0 11.5 9.4 7.2 5.1 2.9 0.7 0.02.0 11.5 9.4 7.2 5.1 2.9 0.7 0.05.0 11.5 9.4 7.2 5.1 2.9 0.7 0.0

13.0 11.5 9.4 7.2 5.1 2.9 0.7 0.012.0 11.5 9.4 7.2 5.1 2.9 0.7 0.06.0 11.5 9.4 7.2 5.1 2.9 0.7 0.04.0 11.5 9.4 7.2 5.1 2.9 0.7 0.04.0 11.5 9.4 7.2 5.1 2.9 0.7 0.07.0 11.5 9.4 7.2 5.1 2.9 0.7 0.04.0 11.5 9.4 7.2 5.1 2.9 0.7 0.07.0 11.5 9.4 7.2 5.1 2.9 0.7 0.05.0 11.5 9.4 7.2 5.1 2.9 0.7 0.05.0 11.5 9.4 7.2 5.1 2.9 0.7 0.03.0 11.5 9.4 7.2 5.1 2.9 0.7 0.07.0 11.5 9.4 7.2 5.1 2.9 0.7 0.03.0 11.5 9.4 7.2 5.1 2.9 0.7 0.0

Page 8: Report Control Charts

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200.0

2.0

4.0

6.0

8.0

10.0

12.0

14.0

UCL 11.5

CL 5.1

R Chart

Period

Rang

e

As we can see in Median chart there are two readings which are not in control limit i.e, one is above upper control limit and one is below lower control limit. So these two values can be excluded.

And if we see R chart we see that two values are above upper control limit and so these values can be eliminated.

Page 9: Report Control Charts

Exercise 8 :

Transactional: One paid invoice was randomly selected each day. The number of days past the invoice due date was tracked using an XmR chart.

Batch No Time Moving Range (MR)1 70.10 ----2 75.20 5.103 74.40 0.804 72.07 2.335 74.70 2.636 73.80 0.907 72.77 1.038 78.17 5.409 70.77 7.40

10 74.30 3.5311 72.90 1.4012 72.50 0.4013 74.60 2.1014 75.43 0.8315 75.30 0.1316 78.17 2.8717 76.00 2.1718 73.50 2.5019 74.27 0.7720 75.05 0.78

Range UCL +2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL

Page 10: Report Control Charts

2.275.10 7.41 5.69 3.98 2.27 0.55 0.00 0.000.80 7.41 5.69 3.98 2.27 0.55 0.00 0.002.33 7.41 5.69 3.98 2.27 0.55 0.00 0.002.63 7.41 5.69 3.98 2.27 0.55 0.00 0.000.90 7.41 5.69 3.98 2.27 0.55 0.00 0.001.03 7.41 5.69 3.98 2.27 0.55 0.00 0.005.40 7.41 5.69 3.98 2.27 0.55 0.00 0.007.40 7.41 5.69 3.98 2.27 0.55 0.00 0.003.53 7.41 5.69 3.98 2.27 0.55 0.00 0.001.40 7.41 5.69 3.98 2.27 0.55 0.00 0.000.40 7.41 5.69 3.98 2.27 0.55 0.00 0.002.10 7.41 5.69 3.98 2.27 0.55 0.00 0.000.83 7.41 5.69 3.98 2.27 0.55 0.00 0.000.13 7.41 5.69 3.98 2.27 0.55 0.00 0.002.87 7.41 5.69 3.98 2.27 0.55 0.00 0.002.17 7.41 5.69 3.98 2.27 0.55 0.00 0.002.50 7.41 5.69 3.98 2.27 0.55 0.00 0.000.77 7.41 5.69 3.98 2.27 0.55 0.00 0.000.78 7.41 5.69 3.98 2.27 0.55 0.00 0.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200

1

2

3

4

5

6

7

8 UCL 7.406

CL 2.267

mR Time

Batch No

Rang

e