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Find the percentage of the area under a normal curve between the mean and the gi

ID: 3349780 • Letter: F

Question

Find the percentage of the area under a normal curve between the mean and the given number of standard deviations from the mean.


-0.40

z

A

z

A

z

A

z

A

.00

.0000

.48

.1844

.96

.3315

1.44

.4251

.01

.0040

.49

.1879

.97

.3340

1.45

.4265

.02

.0080

.50

.1915

.98

.3365

1.46

.4279

.03

.0120

.51

.1950

.99

.3389

1.47

.4292

.04

.0160

.52

.1985

1.00

.3413

1.48

.4306

.05

.0199

.53

.2019

1.01

.3438

1.49

.4319

.06

.0239

.54

.2054

1.02

.3461

1.50

.4332

.07

.0279

.55

.2088

1.03

.3485

1.51

.4345

.08

.0319

.56

.2123

1.04

.3508

1.52

.4357

.09

.0359

.57

.2157

1.05

.3531

1.53

.4370

.10

.0398

.58

.2190

1.06

.3554

1.54

.4382

.11

.0438

.59

.2224

1.07

.3577

1.55

.4394

.12

.0478

.60

.2258

1.08

.3599

1.56

.4406

.13

.0517

.61

.2291

1.09

.3621

1.57

.4418

.14

.0557

.62

.2324

1.10

.3643

1.58

.4430

.15

.0596

.63

.2357

1.11

.3665

1.59

.4441

.16

.0636

.64

.2389

1.12

.3686

1.60

.4452

.17

.0675

.65

.2422

1.13

.3708

1.61

.4463

.18

.0714

.66

.2454

1.14

.3729

1.62

.4474

.19

.0754

.67

.2486

1.15

.3749

1.63

.4485

.20

.0793

.68

.2518

1.16

.3770

1.64

.4495

.21

.0832

.69

.2549

1.17

.3790

1.65

.4505

.22

.0871

.70

.2580

1.18

.3810

1.66

.4515

.23

.0910

.71

.2612

1.19

.3830

1.67

.4525

.24

.0948

.72

.2642

1.20

.3849

1.68

.4535

.25

.0987

.73

.2673

1.21

.3869

1.69

.4545

.26

.1026

.74

.2704

1.22

.3888

1.70

.4554

.27

.1064

.75

.2734

1.23

.3907

1.71

.4564

.28

.1103

.76

.2764

1.24

.3925

1.72

.4573

.29

.1141

.77

.2794

1.25

.3944

1.73

.4583

.30

.1179

.78

.2823

1.26

.3962

1.74

.4591

.31

.1217

.79

.2852

1.27

.3980

1.75

.4599

.32

.1255

.80

.2881

1.28

.3997

1.76

.4608

.33

.1293

.81

.2910

1.29

.4015

1.77

.4616

.34

.1331

.82

.2939

1.30

.4032

1.78

.4625

.35

.1368

.83

.2967

1.31

.4049

1.79

.4633

.36

.1406

.84

.2996

1.32

.4066

1.80

.4641

.37

.1443

.85

.3023

1.33

.4082

1.81

.4649

.38

.1480

.86

.3051

1.34

.4099

1.82

.4656

.39

.1517

.87

.3079

1.35

.4115

1.83

.4664

.40

.1554

.88

.3106

1.36

.4131

1.84

.4671

.41

.1591

.89

.3133

1.37

.4147

1.85

.4678

.42

.1628

.90

.3159

1.38

.4162

1.86

.4686

.43

.1664

.91

.3186

1.39

.4177

1.87

.4693

.44

.1700

.92

.3212

1.40

.4192

1.88

.4700

.45

.1736

.93

.3238

1.41

.4207

1.89

.4706

.46

.1772

.94

.3264

1.42

.4222

1.90

.4713

.47

.1808

.95

.3289

1.43

.4236

1.91

.4719

1.92

.4726

2.42

.4922

2.92

.4983

3.42

.4997

1.93

.4732

2.43

.4925

2.93

.4983

3.43

.4997

1.94

.4738

2.44

.4927

2.94

.4984

3.44

.4997

1.95

.4744

2.45

.4929

2.95

.4984

3.45

.4997

1.96

.4750

2.46

.4931

2.96

.4985

3.46

.4997

1.97

.4756

2.47

.4932

2.97

.4985

3.47

.4997

1.98

.4762

2.48

.4934

2.98

.4986

3.48

.4998

1.99

.4767

2.49

.4936

2.99

.4986

3.49

.4998

2.00

.4773

2.50

.4938

3.00

.4987

3.50

.4998

2.01

.4778

2.51

.4940

3.01

.4987

3.51

.4998

2.02

.4783

2.52

.4941

3.02

.4987

3.52

.4998

2.03

.4788

2.53

.4943

3.03

.4988

3.53

.4998

2.04

.4793

2.54

.4945

3.04

.4988

3.54

.4998

2.05

.4798

2.55

.4946

3.05

.4989

3.55

.4998

2.06

.4803

2.56

.4948

3.06

.4989

3.56

.4998

2.07

.4808

2.57

.4949

3.07

.4989

3.57

.4998

2.08

.4812

2.58

.4951

3.08

.4990

3.58

.4998

2.09

.4817

2.59

.4952

3.09

.4990

3.59

.4998

2.10

.4821

2.60

.4953

3.10

.4990

3.60

.4998

2.11

.4826

2.61

.4955

3.11

.4991

3.61

.4999

2.12

.4830

2.62

.4956

3.12

.4991

3.62

.4999

2.13

.4834

2.63

.4957

3.13

.4991

3.63

.4999

2.14

.4838

2.64

.4959

3.14

.4992

3.64

.4999

2.15

.4842

2.65

.4960

3.15

.4992

3.65

.4999

2.16

.4846

2.66

.4961

3.16

.4992

3.66

.4999

2.17

.4850

2.67

.4962

3.17

.4992

3.67

.4999

2.18

.4854

2.68

.4963

3.18

.4993

3.68

.4999

2.19

.4857

2.69

.4964

3.19

.4993

3.69

.4999

2.20

.4861

2.70

.4965

3.20

.4993

3.70

.4999

2.21

.4865

2.71

.4966

3.21

.4993

3.71

.4999

2.22

.4868

2.72

.4967

3.22

.4994

3.72

.4999

2.23

.4871

2.73

.4968

3.23

.4994

3.73

.4999

2.24

.4875

2.74

.4969

3.24

.4994

3.74

.4999

2.25

.4878

2.75

.4970

3.25

.4994

3.75

.4999

2.26

.4881

2.76

.4971

3.26

.4994

3.76

.4999

2.27

.4884

2.77

.4972

3.27

.4995

3.77

.4999

2.28

.4887

2.78

.4973

3.28

.4995

3.78

.4999

2.29

.4890

2.79

.4974

3.29

.4995

3.79

.4999

2.30

.4893

2.80

.4974

3.30

.4995

3.80

.4999

2.31

.4896

2.81

.4975

3.31

.4995

3.81

.4999

2.32

.4898

2.82

.4976

3.32

.4996

3.82

.4999

2.33

.4901

2.83

.4977

3.33

.4996

3.83

.4999

2.34

.4904

2.84

.4977

3.34

.4996

3.84

.4999

2.35

.4906

2.85

.4978

3.35

.4996

3.85

.4999

2.36

.4909

2.86

.4979

3.36

.4996

3.86

.4999

2.37

.4911

2.87

.4980

3.37

.4996

3.87

.5000

2.38

.4913

2.88

.4980

3.38

.4996

3.88

.5000

2.39

.4916

2.89

.4981

3.39

.4997

3.89

.5000

2.40

.4918

2.90

.4981

3.40

.4997

2.41

.4920

2.91

.4982

3.41

.4997

The percentage of area under the normal curve between the mean and 0.40 standard deviations from the mean is ____%.

z

A

z

A

z

A

z

A

.00

.0000

.48

.1844

.96

.3315

1.44

.4251

.01

.0040

.49

.1879

.97

.3340

1.45

.4265

.02

.0080

.50

.1915

.98

.3365

1.46

.4279

.03

.0120

.51

.1950

.99

.3389

1.47

.4292

.04

.0160

.52

.1985

1.00

.3413

1.48

.4306

.05

.0199

.53

.2019

1.01

.3438

1.49

.4319

.06

.0239

.54

.2054

1.02

.3461

1.50

.4332

.07

.0279

.55

.2088

1.03

.3485

1.51

.4345

.08

.0319

.56

.2123

1.04

.3508

1.52

.4357

.09

.0359

.57

.2157

1.05

.3531

1.53

.4370

.10

.0398

.58

.2190

1.06

.3554

1.54

.4382

.11

.0438

.59

.2224

1.07

.3577

1.55

.4394

.12

.0478

.60

.2258

1.08

.3599

1.56

.4406

.13

.0517

.61

.2291

1.09

.3621

1.57

.4418

.14

.0557

.62

.2324

1.10

.3643

1.58

.4430

.15

.0596

.63

.2357

1.11

.3665

1.59

.4441

.16

.0636

.64

.2389

1.12

.3686

1.60

.4452

.17

.0675

.65

.2422

1.13

.3708

1.61

.4463

.18

.0714

.66

.2454

1.14

.3729

1.62

.4474

.19

.0754

.67

.2486

1.15

.3749

1.63

.4485

Explanation / Answer

As per normal distribution curve, the equal amount data will be distributed both sides of the curve.

-0.40 of the area covered or 0.40 of right curve = 0.1554 or 15.54%

The area covered between mean and -0.4 standard deviation from the mean is 15.54%

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