DRAWING STATISTICS CHART– MINITAB
Lesson 1 At the AB battery factory, KCS staff measured the weight (g) of 10 plates
during the first casting and recorded the following data:
9.46; 10.61; 8.07; 12.21; 9.02 ; 8.99; 10.03; 11.73; 10.99; 10.56
Determine the values: mean, standard deviation, variance, median.
Draw a chart with the above data
Solution:
- Import data in Minitab:

-Go to Stat / Basic statistic / Display Discripitive Statistic

1


- Click the box Variables: Select C1 and press Select

- Click the Statistics button: select the Mean parameters; Standard deviation; Variance;
Median
-Click OK

2


-Chọn màn hình Session xem kết quả:

Draw a Run chart:
-Go to Stat/ Quality tool/ Run chart

3

- In the Data Arranged as:
Item Single Column: press C1 and press Select
Item Subgroup Size: press C1 and click OK

-Resulut:

4


Similar exercises:
Draw a Run chart for the price recording data of a scarce commodity as follows:
Date

1

2

3

4

5

6

7

8

9


10

11

12

13

14

15

16

17

18

19

20

Price

35

38

41


43

47

43

48

52

53

55

59

56

52

55

59

63

61

62


65

67

Bài 2: Draw a graph of the thickness distribution (mm) of the sheets as follows:
8.02; 8.15; 7.89; 7.95; 7.77; 8.20; 7.79; 7.90; 8.02; 8.06; 7.86; 7.92; 8.04; 7.98; 8.01; 8.06;
7.80; 7.96; 7.95; 8.15; 8.02
Solution:
-

Data input

5


-Go to Graph \ Histogram

-

Lelect With Fit and press OK

6


-At the item Graph Variables: select C1 and press OK

Similar exercises:
7



Plot the Hitogram chart for recording data set “Thickness (mm) of corrugated iron as follows”
3.56
3.48
3.41
3.55
3.48
3.59
3.4
3.48
3.52
3.41

3.46
3.56
3.37
3.52
3.48
3.63
3.54
3.5
3.48
3.45

3.48
3.5
3.47
3.44
3.32
3.59

3.46
3.56
3.46
3.34

3.5
3.52
3.49
3.5
3.40
3.47
3.51
3.50
3.45
3.44

3.42
3.47
3.45
3.45
3.52
3.38
3.48
3.52
3.46
3.47

3.43
3.48
3.44

3.44
3.54
3.52
3.50
3.46
3.54
3.47

3.52
3.46
3.50
3.48
3.46
3.45
3.68
3.48
3.54
3.41

3.49
3.50
3.49
3.46
3.43
3.48
3.60
3.46
3.48
3.48


3.44
3.56
3.46
3.52
3.30
3.31
3.46
3.52
3.49
3.54

3.5
3.38
3.46
3.46
3.46
3.46
3.52
3.56
3.41
3.47

Bài 3: Draw a Scatter chart for the data collected in the laboratory as follows:
PhH2O
Độ
axit

6.92

6.59


7.14

7.1

6.91

7.3

6.64

6.74

6.58

6.1

5.84

5.21

6.98

7.08

6.98

5.3

7.3


7.41

6.12

2.95

2.70

2.65

2.7

2.7

2.55

2.5

2.8

2.4

2.5

2.35

2.7

2.4


2/5

2.55

2.55

2.3

2.4

2.3

Solution:
-Import data:

-Go to Graph \ Scatterplot

8


-Choose With Regression, press OK

-At box Y-Variables select “ Ph-nước”; X-Variables select “ Độ axit”; press Ok
9


Result:

- Find the regression equation and the correlation coefficient R:


10


Go to Stat \ Regression \ Regression

-In the box Response : select “ Ph nước”; box Predictor select “ Độ axit”, click Result
select “ Regression equation , table of coefficients…”

11


- In the session window, see the results :

Similar exercises
12


Scatterplot drawing; Find the regression equation and the correlation coefficient R for the data
collected about an automobile engine as follows:
Speed
(km/h)
Gas (l)

30

30

35


35

40

40

45

45

50

50

55

55

60

60

65

65

38

35


35

30

33

28

32

29

26

26

32

21

22

22

18

24

Lesson 4: Control Chart X bar- R
At one stage in the steel plant, KCS staff took samples to check the diameter of steel

pipes (mm) at different times and recorded the data as follows:
Results

Samples
1

6h
14

10h
12.6

14h
13.2

18h
13.1

22h
12.1

2

13.2

13.3

12.7

13.4


12.1

3

13.5

12.8

13

12.8

12.4

4

13.9

12.4

13.3

13.1

13.2

5

13


13

12.1

12.2

13.3

6

13.7

12

12.5

12.4

12.4

7

13.9

12.1

12.7

13.4


13

8

13.4

13.6

13

12.4

13.5

9

14.4

12.4

12.2

12.4

12.5

10

13.3


12.4

12.6

12.9

12.8

11

13.3

12.8

13

13

13.1

12

13.6

12.5

13.3

13.5


12.8

13

13.4

13.3

12

13

13.1

14

13.9

13.1

13.5

12.6

12.8

15

14.2


12.7

12.9

12.9

12.5

16

13.6

12.6

12.4

12.5

12.2

17

14

13.2

12.4

13


13

18

13.1

12.9

13.5

12.3

12.8

13


Results

Samples
19

6h
14.6

10h
13.7

14h

13.4

18h
12.2

22h
12.5

20

13.9

13

13

13.2

12.6

21

13.3

12.7

12.6

12.8


12.7

22

13.9

12.4

12.7

12.4

12.8

23

13.2

12.3

12.6

13.1

12.7

24

13.2


12.8

12.8

12.3

12.6

25

13.3

12.8

12

12.3

12.2

Draw process control charts; calculate Cp, Cpk knowned USL = 13.8; LSL = 12.1
Solution:
- Enter data in Minitab

-Go to Stat/ Control Chart/ Variables chart for subgroubs/ X bar-R
14


-Select Observation for a subgroups are in one row of columns
-Select from C1 đến C5 and press Select


- Select X-bar R options ;

15


-Go to Estimate : in the box of Method for estimating standard deviation select Rbar; click
OK

-Result of Control chart Xbar-R

-Calculate Cp; Cpk
16


Go to Stat\Quality tool\ Capability Analysis\ Normal

-Select Subgroubs across row of: select from C1 to C5, press Select

-Input data Lower spec = 12.1; Upper Spec= 13.8

-Results:
17


-

Result of Overall Capability : Cp= 0.52; Cpk= 0.51

Similar exercises

At the wire factory, KCS staff checks the weight (g) of the wire samples and records the
following data:
STT
Sample

1

2

3

4

5

6

7

8

9

10

11

12

13


14

15

X1

15

17

12

42

32

26

32

23

15

32

31

25


32

18

24

X2

24

37

22

35

26

17

19

27

24

31

29


23

32

22

25

X3

24

28

30

29

24

28

21

31

28

24


27

26

31

19

26

X4

20

26

36

36

19

25

25

31

27


25

24

28

29

23

22

X5

25

26

34

22

31

22

27

24


31

22

26

30

28

26

28

a) Calculate the average and control limits of the Xbar-R chart
b. Draw control charts; compute Cp and Cpk know USL = 28.1 and LSL = 11.9
Bài 5: Biểu đồ kiểm soát Xbar-S
18


KCS staff checked the weight (g) of the Hura cake samples, each time this staff took 7
samples and recorded the data in 15 groups which were taken as follows:
Stt
Sample

X1
X2
X3
X4

X5
X6
X7

1
110
83
99
98
109
99
98

2

3

4

5

6

7

8

9

10


11

12

13

14

15

103

97

96

105

110

100

93

103

97

103


90

97

99

106

95

110

102

110

91

96

90

105

93

97

100


101

106

94

109

90

105

109

104

104

110

109

93

104

91

96


97

96

95

97

90

93

91

93

108

90

99

103

103

104

105


98

96

100

96

98

101

96

105

108

96

92

105

108

98

90


101

102

88

97

105

106

98

103

105

100

108

95

92

100

95


97

90

93

98

101

96

105

97

103

90

104

110

90

a) Calculate the average and control limits of the Xbar-S chart
b) Draw Xbar-S Control Chart
-Import Minitab data


-Go to Stat/ Control charts/ Variables charts for Subgroups/
Xbar-S
19


- Select Observation for a subgroups are in one rows of columns; select X1 to X7, press Select
-Select Xbar S options

-Go to Estimate , chọn Method for estimating standard deviation, click
Sbar
20


-Press Ok : Chart result

Similar exercises
21


At the XYZ toothbrush factory, KCS staff checked the weight of the brush through 1
production stage, this staff took 6 samples in 1 inspection and conducted 15 checks. The data
was recorded as follows:
Stt
Sample

1

2


3

4

5

6

7

8

9

10

11

12

13

14

15

X1

15


17

12

42

32

26

32

23

15

32

31

25

32

18

24

X2


24

37

22

35

26

17

19

27

24

31

29

23

32

22

25


X3

24

28

30

29

24

28

21

31

28

24

27

26

31

19


26

X4

20

26

36

36

19

25

25

31

27

25

24

28

29


23

22

X5

25

26

34

22

31

22

27

24

31

22

26

30


28

26

28

X6

37

22

35

29

24

28

31

27

25

24

24


37

22

19

25

a) Calculate the average limit and control limits of the Xbar-S chart
b) Draw control chart Xbar-S
Lesson 6: I-MR Chart
Record of free acetic acid content during the reaction process:
Date

Sample

Result

01.10

1

1.09

02.10

2

1.13


03.10

3

1.29

04.10

4

1.13

05.10

5

1.23

06.10

6

1.43

07.10

7

1.27


08.10

8

1.63

09.10

9

1.34

10.10

10

1.1

11.10

11

0.98

12.10

12

1.37
22



Date

Sample

Result

13.10

13

1.18

14.10

14

1.58

15.10

15

1.31

16.10

16


1.7

17.10

17

1.45

18.10

18

1.19

19.10

19

1.33

20.10

20

1.18

21.10

21


1.40

22.10

22

1.68

23.10

23

1.58

24.10

24

0.9

25.10

25

1.7

26.10

26


0.95

a) Calculate the average limit and control limits of the I-MR chart
b. Drawing I-MR Control Chart Problem
Solving
-Import minitab data

-Go to Stat\ Control chart\Variables chart for Individual\I-MR
23


-In the box of Variables, select C1 press Select

-Click I-MR options: go to Estimate select Method for estimating standard deviation; click
select Average moving range and Length of moving = 2; press OK

24


Kết quả:

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