Appendix A: Standard Normal Distribution Table (z Table)

(“z Table Curves” by Judy Schmitt is licensed under CC BY-NC-SA 4.0.)

(A)

z

(B)

Proportion in Body

(C)

Proportion in Tail

(D)
Proportion between Mean and z

0.00

.5000

.5000

.0000

0.01

.5040

.4960

.0040

0.02

.5080

.4920

.0080

0.03

.5120

.4880

.0120

0.04

.5160

.4840

.0160

0.05

.5199

.4801

.0199

0.06

.5239

.4761

.0239

0.07

.5279

.4721

.0279

0.08

.5319

.4681

.0319

0.09

.5359

.4641

.0359

0.10

.5398

.4602

.0398

0.11

.5438

.4562

.0438

0.12

.5478

.4522

.0478

0.13

.5517

.4483

.0517

0.14

.5557

.4443

.0557

0.15

.5596

.4404

.0596

0.16

.5636

.4364

.0636

0.17

.5675

.4325

.0675

0.18

.5714

.4286

.0714

0.19

.5753

.4247

.0753

0.20

.5793

.4207

.0793

0.21

.5832

.4168

.0832

0.22

.5871

.4129

.0871

0.23

.5910

.4090

.0910

0.24

.5948

.4052

.0948

0.25

.5987

.4013

.0987

0.26

.6026

.3974

.1026

0.27

.6064

.3936

.1064

0.28

.6103

.3897

.1103

0.29

.6141

.3859

.1141

0.30

.6179

.3821

.1179

0.31

.6217

.3783

.1217

0.32

.6255

.3745

.1255

0.33

.6293

.3707

.1293

0.34

.6331

.3669

.1331

0.35

.6368

.3632

.1368

0.36

.6406

.3594

.1406

0.37

.6443

.3557

.1443

0.38

.6480

.3520

.1480

0.39

.6517

.3483

.1517

0.40

.6554

.3446

.1554

0.41

.6591

.3409

.1591

0.42

.6628

.3372

.1628

0.43

.6664

.3336

.1664

0.44

.6700

.3300

.1700

0.45

.6736

.3264

.1736

0.46

.6772

.3228

.1772

0.47

.6808

.3192

.1808

0.48

.6844

.3156

.1844

0.49

.6879

.3121

.1879

0.50

.6915

.3085

.1915

0.51

.6950

.3050

.1950

0.52

.6985

.3015

.1985

0.53

.7019

.2981

.2019

0.54

.7054

.2946

.2054

0.55

.7088

.2912

.2088

0.56

.7123

.2877

.2123

0.57

.7157

.2843

.2157

0.58

.7190

.2810

.2190

0.59

.7224

.2776

.2224

0.60

.7257

.2743

.2257

0.61

.7291

.2709

.2291

0.62

.7324

.2676

.2324

0.63

.7357

.2643

.2357

0.64

.7389

.2611

.2389

0.65

.7422

.2578

.2422

0.66

.7454

.2546

.2454

0.67

.7486

.2514

.2486

0.68

.7517

.2483

.2517

0.69

.7549

.2451

.2549

0.70

.7580

.2420

.2580

0.71

.7611

.2389

.2611

0.72

.7642

.2358

.2642

0.73

.7673

.2327

.2673

0.74

.7704

.2296

.2704

0.75

.7734

.2266

.2734

0.76

.7764

.2236

.2764

0.77

.7794

.2206

.2794

0.78

.7823

.2177

.2823

0.79

.7852

.2148

.2852

0.80

.7881

.2119

.2881

0.81

.7910

.2090

.2910

0.82

.7939

.2061

.2939

0.83

.7967

.2033

.2967

0.84

.7995

.2005

.2995

0.85

.8023

.1977

.3023

0.86

.8051

.1949

.3051

0.87

.8078

.1922

.3078

0.88

.8106

.1894

.3106

0.89

.8133

.1867

.3133

0.90

.8159

.1841

.3159

0.91

.8186

.1814

.3186

0.92

.8212

.1788

.3212

0.93

.8238

.1762

.3238

0.94

.8264

.1736

.3264

0.95

.8289

.1711

.3289

0.96

.8315

.1685

.3315

0.97

.8340

.1660

.3340

0.98

.8365

.1635

.3365

0.99

.8389

.1611

.3389

1.00

.8413

.1587

.3413

1.01

.8438

.1562

.3438

1.02

.8461

.1539

.3461

1.03

.8485

.1515

.3485

1.04

.8508

.1492

.3508

1.05

.8531

.1469

.3531

1.06

.8554

.1446

.3554

1.07

.8577

.1423

.3577

1.08

.8599

.1401

.3599

1.09

.8621

.1379

.3621

1.10

.8643

.1357

.3643

1.11

.8665

.1335

.3665

1.12

.8686

.1314

.3686

1.13

.8708

.1292

.3708

1.14

.8729

.1271

.3729

1.15

.8749

.1251

.3749

1.16

.8770

.1230

.3770

1.17

.8790

.1210

.3790

1.18

.8810

.1190

.3810

1.19

.8830

.1170

.3830

1.20

.8849

.1151

.3849

1.21

.8869

.1131

.3869

1.22

.8888

.1112

.3888

1.23

.8907

.1093

.3907

1.24

.8925

.1075

.3925

1.25

.8944

.1056

.3944

1.26

.8962

.1038

.3962

1.27

.8980

.1020

.3980

1.28

.8997

.1003

.3997

1.29

.9015

.0985

.4015

1.30

.9032

.0968

.4032

1.31

.9049

.0951

.4049

1.32

.9066

.0934

.4066

1.33

.9082

.0918

.4082

1.34

.9099

.0901

.4099

1.35

.9115

.0885

.4115

1.36

.9131

.0869

.4131

1.37

.9147

.0853

.4147

1.38

.9162

.0838

.4162

1.39

.9177

.0823

.4177

1.40

.9192

.0808

.4192

1.41

.9207

.0793

.4207

1.42

.9222

.0778

.4222

1.43

.9236

.0764

.4236

1.44

.9251

.0749

.4251

1.45

.9265

.0735

.4265

1.46

.9279

.0721

.4279

1.47

.9292

.0708

.4292

1.48

.9306

.0694

.4306

1.49

.9319

.0681

.4319

1.50

.9332

.0668

.4332

1.51

.9345

.0655

.4345

1.52

.9357

.0643

.4357

1.53

.9370

.0630

.4370

1.54

.9382

.0618

.4382

1.55

.9394

.0606

.4394

1.56

.9406

.0594

.4406

1.57

.9418

.0582

.4418

1.58

.9429

.0571

.4429

1.59

.9441

.0559

.4441

1.60

.9452

.0548

.4452

1.61

.9463

.0537

.4463

1.62

.9474

.0526

.4474

1.63

.9484

.0516

.4484

1.64

.9495

.0505

.4495

1.65

.9505

.0495

.4505

1.66

.9515

.0485

.4515

1.67

.9525

.0475

.4525

1.68

.9535

.0465

.4535

1.69

.9545

.0455

.4545

1.70

.9554

.0446

.4554

1.71

.9564

.0436

.4564

1.72

.9573

.0427

.4573

1.73

.9582

.0418

.4582

1.74

.9591

.0409

.4591

1.75

.9599

.0401

.4599

1.76

.9608

.0392

.4608

1.77

.9616

.0384

.4616

1.78

.9625

.0375

.4625

1.79

.9633

.0367

.4633

1.80

.9641

.0359

.4641

1.81

.9649

.0351

.4649

1.82

.9656

.0344

.4656

1.83

.9664

.0336

.4664

1.84

.9671

.0329

.4671

1.85

.9678

.0322

.4678

1.86

.9686

.0314

.4686

1.87

.9693

.0307

.4693

1.88

.9699

.0301

.4699

1.89

.9706

.0294

.4706

1.90

.9713

.0287

.4713

1.91

.9719

.0281

.4719

1.92

.9726

.0274

.4726

1.93

.9732

.0268

.4732

1.94

.9738

.0262

.4738

1.95

.9744

.0256

.4744

1.96

.9750

.0250

.4750

1.97

.9756

.0244

.4756

1.98

.9761

.0239

.4761

1.99

.9767

.0233

.4767

2.00

.9772

.0228

.4772

2.01

.9778

.0222

.4778

2.02

.9783

.0217

.4783

2.03

.9788

.0212

.4788

2.04

.9793

.0207

.4793

2.05

.9798

.0202

.4798

2.06

.9803

.0197

.4803

2.07

.9808

.0192

.4808

2.08

.9812

.0188

.4812

2.09

.9817

.0183

.4817

2.10

.9821

.0179

.4821

2.11

.9826

.0174

.4826

2.12

.9830

.0170

.4830

2.13

.9834

.0166

.4834

2.14

.9838

.0162

.4838

2.15

.9842

.0158

.4842

2.16

.9846

.0154

.4846

2.17

.9850

.0150

.4850

2.18

.9854

.0146

.4854

2.19

.9857

.0143

.4857

2.20

.9861

.0139

.4861

2.21

.9864

.0136

.4864

2.22

.9868

.0132

.4868

2.23

.9871

.0129

.4871

2.24

.9875

.0125

.4875

2.25

.9878

.0122

.4878

2.26

.9881

.0119

.4881

2.27

.9884

.0116

.4884

2.28

.9887

.0113

.4887

2.29

.9890

.0110

.4890

2.30

.9893

.0107

.4893

2.31

.9896

.0104

.4896

2.32

.9898

.0102

.4898

2.33

.9901

.0099

.4901

2.34

.9904

.0096

.4904

2.35

.9906

.0094

.4906

2.36

.9909

.0091

.4909

2.37

.9911

.0089

.4911

2.38

.9913

.0087

.4913

2.39

.9916

.0084

.4916

2.40

.9918

.0082

.4918

2.41

.9920

.0080

.4920

2.42

.9922

.0078

.4922

2.43

.9925

.0075

.4925

2.44

.9927

.0073

.4927

2.45

.9929

.0071

.4929

2.46

.9931

.0069

.4931

2.47

.9932

.0068

.4932

2.48

.9934

.0066

.4934

2.49

.9936

.0064

.4936

2.50

.9938

.0062

.4938

2.51

.9940

.0060

.4940

2.52

.9941

.0059

.4941

2.53

.9943

.0057

.4943

2.54

.9945

.0055

.4945

2.55

.9946

.0054

.4946

2.56

.9948

.0052

.4948

2.57

.9949

.0051

.4949

2.58

.9951

.0049

.4951

2.59

.9952

.0048

.4952

2.60

.9953

.0047

.4953

2.61

.9955

.0045

.4955

2.62

.9956

.0044

.4956

2.63

.9957

.0043

.4957

2.64

.9959

.0041

.4959

2.65

.9960

.0040

.4960

2.66

.9961

.0039

.4961

2.67

.9962

.0038

.4962

2.68

.9963

.0037

.4963

2.69

.9964

.0036

.4964

2.70

.9965

.0035

.4965

2.71

.9966

.0034

.4966

2.72

.9967

.0033

.4967

2.73

.9968

.0032

.4968

2.74

.9969

.0031

.4969

2.75

.9970

.0030

.4970

2.76

.9971

.0029

.4971

2.77

.9972

.0028

.4972

2.78

.9973

.0027

.4973

2.79

.9974

.0026

.4974

2.80

.9974

.0026

.4974

2.81

.9975

.0025

.4975

2.82

.9976

.0024

.4976

2.83

.9977

.0023

.4977

2.84

.9977

.0023

.4977

2.85

.9978

.0022

.4978

2.86

.9979

.0021

.4979

2.87

.9979

.0021

.4979

2.88

.9980

.0020

.4980

2.89

.9981

.0019

.4981

2.90

.9981

.0019

.4981

2.91

.9982

.0018

.4982

2.92

.9982

.0018

.4982

2.93

.9983

.0017

.4983

2.94

.9984

.0016

.4984

2.95

.9984

.0016

.4984

2.96

.9985

.0015

.4985

2.97

.9985

.0015

.4985

2.98

.9986

.0014

.4986

2.99

.9986

.0014

.4986

3.00

.9987

.0013

.4987

3.01

.9987

.0013

.4987

3.02

.9987

.0013

.4987

3.03

.9988

.0012

.4988

3.04

.9988

.0012

.4988

3.05

.9989

.0011

.4989

3.06

.9989

.0011

.4989

3.07

.9989

.0011

.4989

3.08

.9990

.0010

.4990

3.09

.9990

.0010

.4990

3.10

.9990

.0010

.4990

3.11

.9991

.0009

.4991

3.12

.9991

.0009

.4991

3.13

.9991

.0009

.4991

3.14

.9992

.0008

.4992

3.15

.9992

.0008

.4992

3.16

.9992

.0008

.4992

3.17

.9992

.0008

.4992

3.18

.9993

.0007

.4993

3.19

.9993

.0007

.4993

3.20

.9993

.0007

.4993

3.21

.9993

.0007

.4993

3.22

.9994

.0006

.4994

3.23

.9994

.0006

.4994

3.24

.9994

.0006

.4994

3.30

.9995

.0005

.4995

3.40

.9997

.0003

.4997

3.50

.9998

.0002

.4998

3.60

.9998

.0002

.4998

3.70

.9999

.0001

.4999

3.80

.99993

.00007

.49993

3.90

.99995

.00005

.49995

4.00

.99997

.00003

.49997

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Introduction to Statistics in the Psychological Sciences by Linda R. Cote Ph.D.; Rupa G. Gordon Ph.D.; Chrislyn E. Randell Ph.D.; Judy Schmitt; and Helena Marvin is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Share This Book