#### Description of this paper

##### 1. The most appropriate measures of central tendency for the-(Answered)

Description

Question

1. The most appropriate measures of central tendency for the variable Pay are:

Mode only

Mode and median

Median and mean

Mean, median and mode

Excess kurtosis

2.Which of the following is an appropriate measure of variability for the variable Gender:

IQR

Range

25th?percentile

Variance

None of the above?

3.?Assume that Pay follows a normal distribution with the parameters measured by the sample. Using this information, what proportion of the population earns more than \$65000?
 <0.1% 2.0% 2.6% 97.4% 98.0%4.The lower bound of the 90% confidence interval for the mean of the variable "Pay" is: \$49632 \$49878 \$50004 \$51432 \$516785.The upper limit of the 90% confidence interval for the proportion of males in the sample is: 35.1% 34.3% 25.8% 25.0% 23.4%

Education

Tenure

Age

Pay

Experience

Gender

BizPro has just acquired the business process service division of Ellion Analytics. The HR manager of

BizPro has accquired the attached data for the staff of this division with a view to comparing the

results with those of current BizPro employees.

Job grade, range from 1 (entry level unskilled worker) to 20 (president and vice-presidents)

Years of completed eduction

Completed years of service with organization

Age last birthday

Gross remuneration (annual)

0 = female, 1 = male

Mean

Median

Mode

Std. Dev

Variance

max

Min

Range

25th pc

50th pc

75th pc

IQR

CoV

Skew

Excess kurtosis

count (Sample)

Std Error

Z Score z=(X-?)/?

Education

7.78

13.42

8.00

13.00

8.00

12.00

1.37

1.73

1.88

3.00

12.00

20.00

3.00

12.00

9.00

8.00

7.00

12.00

8.00

13.00

9.00

14.00

2.00

2.00

0.18

0.13

-0.44

1.46

0.42

2.03

313

313

Age

46.05

45.00

37.00

10.02

100.38

71.00

26.00

45.00

39.00

45.00

53.00

14.00

0.22

0.29

-0.61

313

Pay

50655.23

50705.00

45013.00

6984.92

48789045.68

70643.00

34524.00

36119.00

45507.00

50705.00

55331.00

9824.00

0.14

0.17

-0.22

313

Experience

17.93

17.00

14.00

10.16

103.21

43.00

0.00

43.00

10.00

17.00

25.00

15.00

0.57

0.33

-0.63

313

Gender

0.30

0.00

0.00

0.46

0.21

1.00

0.00

1.00

0.00

0.00

1.00

1.00

1.53

0.88

-1.24

313

0.07745

0.09791

0.22119

0.56630

394.81077

0.57423

0.02595

222.75131

172.94750

78.70063

26.64420

-7.20728

29.04496

681.06870

conf

t

error

0.95

1.9676

0.1524

conf

t

error

0.99

2.5917

0.2007

conf

t

error

Tenure

5.03

4.00

3.00

3.91

15.31

27.00

0.00

27.00

2.00

4.00

7.00

5.00

0.78

1.35

3.06

313

0.90

1.6498

0.1278

95%

1.9676

0.1926

99%

2.5917

0.2538

90%

1.6498

0.1615

0.95

1.9676

0.4352

0.99

2.5917

0.5733

0.90

1.6498

0.3649

95%

1.9676

1.1143

99%

2.5917

1.4677

90%

1.6498

0.9343

0.95

1.9676

776.8283

0.99

2.5917

1023.2226

0.90

1.6498

651.3399

95%

1.9676

1.1299

99%

2.5917

1.4882

90%

1.6498

0.9473

0.95

1.9676

0.0511

0.99

2.5917

0.0673

0.90

1.6498

0.0428

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

Confidence Level(95.0%)

7.7795527157

0.0774499588

8

8

1.3702296473

1.8775292865

0.4195053591

-0.4391520715

9

3

12

2435

313

0.1523902677

3

3

4

4

4

5

5

5

5

5

5

5

5

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

9

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

11

12

0

1

2

3

4

5

6

7

8

9

10

11

12

0 Frequency Percentage Cumulative Pctage.

1

2

3

4

5

6

7

8

9

10

11

12

0

0

2

3

8

45

62

90

80

21

1

1

0.00%

0.00%

0.64%

0.96%

2.56%

14.38%

19.81%

28.75%

25.56%

6.71%

0.32%

0.32%

0

0.00%

0.00%

0.64%

1.60%

4.15%

18.53%

38.34%

67.09%

92.65%

99.36%

99.68%

100.00%

100

90

80

70

60

Frequency

50

40

30

20

10

0

1

2

1

2

3

4

5

6

7

Bins

8

9

10

1

9

10

11

12

Education

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

Confidence Level(95.0%)

13.4185303514

0.0979103222

13

12

1.7322104264

3.0005529614

2.0294644715

1.4600781142

8

12

20

4200

313

0.192648007

Education

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

13

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

16

16

16

16

16

16

16

16

16

16

16

16

16

16

16

17

17

17

17

17

17

17

17

17

17

17

17

17

18

18

19

19

19

19

20

20

20

12

13

14

15

16

17

18

19

20

Frequency Distribution for Education

for Education

12 Frequency Percentage Cumulative Pctage.

13

14

15

16

17

18

19

20

197

47

32

15

13

2

4

3

62.94%

15.02%

10.22%

4.79%

4.15%

0.64%

1.28%

0.96%

0

62.94%

77.96%

88.18%

92.97%

97.12%

97.76%

99.04%

100.00%

250

200

150

Frequency

100

50

0

13

14

Histogram of Education

13

14

15

16

17

Bins

18

19

20

19

20

Tenure

Mean

5.025559

Standard E 0.221189

Median

4

Mode

3

Standard D 3.91324

Sample Var 15.31345

Kurtosis

3.062855

Skewness 1.348193

Range

27

Minimum

0

Maximum

27

Sum

1573

Count

313

Confidence 0.435211

Tenure

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

0

5

10

15

20

25

1

1

1

1

1

1

1

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

3

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

4

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

5

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

6

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

7

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

9

9

9

9

9

9

9

9

9

9

9

9

9

9

10

10

10

10

10

10

10

10

10

10

10

10

11

11

11

11

11

11

11

11

11

12

12

12

12

12

12

12

13

13

14

14

14

15

15

15

15

16

16

16

18

27

Frequency Distribution for Tenure

for Tenure

0 Frequency Percentage Cumulative Pctage.

5

10

15

20

25

200

83

25

4

0

64.10%

26.60%

8.01%

1.28%

0.00%

0

64.10%

90.71%

98.72%

100.00%

100.00%

250

200

150

Frequency

100

50

0

5

Histogram of Tenure

0

0

0

0

0

0

5

10

15

Bins

20

25

Age

Mean

46.05431

Standard E 0.566302

Median

45

Mode

37

Standard D 10.0189

Sample Var 100.3785

Kurtosis -0.610923

Skewness 0.290665

Range

45

Minimum

26

Maximum

71

Sum

14415

Count

313

Confidence 1.114254

Age

26

27

27

27

28

28

29

29

29

30

30

30

30

30

31

31

31

31

32

32

32

32

32

32

32

32

33

33

33

33

33

34

34

34

34

34

34

34

34

34

34

34

34

35

35

35

35

25

30

35

40

45

50

55

60

65

70

75

80

35

36

36

36

36

36

36

36

36

37

37

37

37

37

37

37

37

37

37

37

37

37

37

38

38

38

38

38

38

38

38

39

39

39

39

39

39

39

39

39

39

39

39

40

40

40

40

40

40

40

40

40

40

41

41

41

41

41

41

41

41

41

41

41

41

41

42

42

42

42

42

42

42

42

42

42

42

42

43

43

43

43

43

43

43

43

43

43

43

43

43

44

44

44

44

44

44

44

44

44

44

44

44

44

45

45

45

45

45

45

45

45

45

46

46

46

46

46

46

46

46

46

46

46

46

46

47

47

47

47

47

47

47

47

47

47

47

47

48

48

48

48

48

48

48

48

48

48

49

49

49

49

50

50

50

50

50

50

50

50

50

50

51

51

51

51

51

51

51

51

51

51

52

52

52

52

52

52

52

52

52

52

52

53

53

53

53

53

53

53

54

54

54

54

54

54

54

54

55

55

55

55

55

55

55

55

55

56

56

56

56

56

56

56

57

57

57

57

57

57

57

58

58

58

58

59

59

59

59

59

59

60

60

60

60

60

61

61

61

61

62

62

62

63

63

63

63

63

63

64

64

65

65

65

65

66

66

66

67

67

68

68

68

69

69

71

Frequency Distribution for Age

for Age

25 Frequency PercentageCumulative Pctage.

0

30

14

4.47%

4.47%

35

34

10.86%

15.34%

40

52

16.61%

31.95%

45

60

19.17%

51.12%

50

49

15.65%

66.77%

55

45

14.38%

81.15%

60

29

9.27%

90.42%

65

19

6.07%

96.49%

70

10

3.19%

99.68%

75

1

0.32%

100.00%

80

0

0.00%

100.00%

70

60

50

40

Frequency

30

20

10

0

30

35

40

Histogram of Age

35

40

45

50

55

Bins

60

65

70

75

70

75

80

Pay

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

Confidence Level(95.0%)

50655.2332

394.810772

50705

45013

6984.91558

48789046

-0.2235574

0.17069859

36119

34524

70643

15855088

313

776.828291

Pay

34524

34848

34881

36254

37607

37885

38126

38147

38294

38549

38699

38833

38927

39019

39426

39483

39535

39547

39857

39911

39937

39992

40355

40541

40584

40648

40658

40697

41041

41191

41263

41336

41418

41448

41551

41731

41769

41824

41918

42066

42154

42248

42411

42490

42688

43016

43161

30000

35000

40000

45000

50000

55000

60000

65000

70000

75000

43176

43268

43302

43418

43676

43742

43747

43762

44281

44380

44423

44531

44539

44555

44588

44705

44750

44753

44806

44809

44853

44919

44923

44984

45013

45013

45027

45109

45146

45153

45409

45507

45660

45667

46059

46120

46163

46185

46217

46246

46299

46440

46520

46595

46684

46686

46709

46779

46870

46886

46910

46920

46990

47039

47119

47152

47186

47270

47292

47350

47384

47439

47494

47520

47528

47550

47618

47659

47753

47770

47833

47919

48080

48185

48303

48429

48580

48580

48674

48856

48999

49033

49150

49274

49362

49388

49393

49488

49646

49652

49739

49791

49841

49887

49908

49955

49993

50103

50120

50219

50273

50308

50340

50395

50455

50529

50546

50571

50586

50705

50779

50808

50907

50978

51014

51041

51061

51196

51214

51253

51400

51481

51522

51568

51607

51661

51667

51852

51896

51992

52035

52123

52186

52246

52323

52368

52375

52391

52431

52447

52488

52505

52638

52681

52821

52858

52901

52909

52991

53019

53068

53207

53280

53312

53436

53542

53580

53629

53686

53696

53712

53738

53740

53837

53880

53926

53957

54010

54118

54176

54305

54333

54398

54425

54526

54557

54571

54604

54615

54669

54707

54847

54954

55132

55181

55247

55266

55331

55363

55368

55386

55464

55687

55739

55861

55895

55958

55995

56030

56069

56198

56213

56290

56396

56502

56615

56697

56731

56787

56804

56813

57001

57048

57096

57369

57635

57696

57705

57760

57817

57927

58039

58161

58181

58361

58407

58478

58581

58615

58617

58654

58818

59107

59227

59264

59318

59784

59892

59908

60043

60177

60512

60636

60670

61042

61194

61243

61397

61664

62846

62954

63248

63406

63565

63779

64365

64434

64528

65180

65990

66674

67243

67571

67749

70606

70643

Frequency Distribution for Pay

for Pay

30000 Frequency Percentage

35000

40000

45000

50000

55000

60000

65000

70000

75000

3

19

49

73

86

56

19

6

2

0.96%

6.07%

15.65%

23.32%

27.48%

17.89%

6.07%

1.92%

0.64%

Cumulative Pctage.

0

0.96%

7.03%

22.68%

46.01%

73.48%

91.37%

97.44%

99.36%

100.00%

100

90

80

70

60

Frequency

50

40

30

20

10

0

35000

40

Histogram of Pay

100

90

80

70

60

50

40

30

20

10

0

35000

40000

45000

50000

55000

Bins

60000

65000

65000

70000

75000

Experience

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

Confidence Level(95.0%)

Experience

17.9265175719

0.5742318848

17

14

10.1591991129

103.2093266159

-0.6349096893

0.3334074512

43

0

43

5611

313

1.1298566453

0

0

0

1

1

1

1

1

1

1

2

2

2

2

2

3

3

3

3

3

3

4

4

4

4

4

4

4

5

5

5

5

5

5

5

5

5

5

5

6

6

6

6

6

6

7

7

7

7

8

8

8

8

8

8

8

8

8

9

9

9

9

9

9

9

9

9

9

9

9

10

10

10

10

10

10

10

10

10

10

10

10

10

10

11

11

11

11

11

11

11

11

11

11

11

11

11

11

12

12

12

12

12

12

12

12

13

13

13

13

13

13

13

13

14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

15

15

15

15

15

15

15

15

15

15

15

15

15

16

16

16

16

16

16

16

16

16

16

16

16

17

17

17

17

17

17

17

17

17

17

18

18

18

18

18

18

18

18

18

18

18

19

19

19

19

19

19

19

19

19

19

20

20

20

20

20

20

21

21

21

21

21

21

21

21

21

21

22

22

22

22

22

22

22

22

23

23

23

23

23

23

23

23

23

23

23

23

24

24

24

24

24

24

24

24

25

25

25

25

25

25

25

25

26

26

26

26

26

26

27

27

27

27

27

27

27

27

27

27

28

28

28

28

28

28

28

28

28

29

29

29

29

29

30

30

30

30

30

30

30

30

31

31

31

31

32

32

33

33

33

33

34

34

34

34

34

34

34

35

35

35

35

36

37

37

38

38

38

38

38

39

39

39

40

40

41

42

42

43

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

Frequency Distribution for Experience

for Experience

0 Frequency Percentage Cumulative Pctage.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

10

5

6

7

11

6

4

9

12

14

14

8

8

15

13

12

10

11

10

6

10

8

12

8

8

6

10

9

5

8

4

2

4

7

4

1

2

5

3

2

1

2

1

3.19%

1.60%

1.92%

2.24%

3.51%

1.92%

1.28%

2.88%

3.83%

4.47%

4.47%

2.56%

2.56%

4.79%

4.15%

3.83%

3.19%

3.51%

3.19%

1.92%

3.19%

2.56%

3.83%

2.56%

2.56%

1.92%

3.19%

2.88%

1.60%

2.56%

1.28%

0.64%

1.28%

2.24%

1.28%

0.32%

0.64%

1.60%

0.96%

0.64%

0.32%

0.64%

0.32%

0

3.19%

4.79%

6.71%

8.95%

12.46%

14.38%

15.65%

18.53%

22.36%

26.84%

31.31%

33.87%

36.42%

41.21%

45.37%

49.20%

52.40%

55.91%

59.11%

61.02%

64.22%

66.77%

70.61%

73.16%

7

Paper#9209814 | Written in 27-Jul-2016

Price : \$22