For the following data, perform histogram analysis for variables X1 ,X2, X3 and X4. Calculate mean, variance and standard deviation of all the variables. Comment on the results.

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  1. For the following data, perform histogram analysis for variables X1 ,X2, X3 and X4. Calculate mean, variance and standard deviation of all the variables. Comment on the results.

 

X1

X2

X3

X4

48

7.2

4.9

495

40

7.4

5

524

41

7.7

5.3

461

52

7.1

4.8

552

41

7.7

5.3

524

45

7.5

5.2

569

31

7.9

5.2

547

55

7.3

4.8

530

51

7.5

4.8

530

32

7.3

5.2

524

35

7.4

5.2

501

32

7.5

5.3

416

54

7.2

5

456

31

7.4

5.2

399

31

7.2

4.9

569

52

7

5.2

473

49

7

5

552

43

7.4

5.2

467

48

7.7

5.3

524

31

6.9

4.9

456

36

7.1

5.2

399

41

7.3

5

501

35

7.3

5

450

52

7.1

4.7

512

47

7.1

5

416

55

7.5

5

438

39

7.9

5.2

569

50

7.6

5

490

30

7.6

5.2

399

49

7.6

5.4

427

34

7.8

5.3

490

48

7.7

5.3

512

41

7.3

5.2

404

43

7.9

5.2

541

51

7.2

5.2

433

37

7.9

5.3

558

32

7.1

4.9

535

52

7.8

4.9

421

52

7.8

5.3

456

30

7.2

5

473

49

7.5

4.8

530

42

7

4.7

473

40

7.1

5.2

444

49

7.8

5.2

558

50

7.9

5.2

501

49

7.6

5

478

48

7.3

4.7

410

32

7.6

5.3

564

38

8

4.9

507

52

7.1

4.9

569

50

7.5

5.3

404

 

 

 

2.For the same data construct covariance and correlation matrices. Comment on the results.

 

 

 

3.Select a system and construct a P-diagram by including inputs, outputs, control factors and noise factors

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For the same data construct covariance and correlation matrices. 

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