Appendix A: Standard Normal Distribution Table (z Table)

Stephanie D'Costa; Mireille Ukeye; Makenzie O'Neil; and Rebecca Anguiano

Three standard normal curve sketches (image description available)
Figure A.1 Three Normal Curves. 
Figure A1 Image Description

A row of three beige, bell-curve diagrams on a black background illustrates how areas are labeled on a z-distribution. Left panel: the area from the mean (z = 0) to a cutoff left of center is shaded and labeled B—the “body” between the mean and a negative z. Middle panel: the area from the mean to a cutoff right of center is shaded and labeled B—the “body” between the mean and a positive z. Right panel: only the extreme right tail beyond a positive z is shaded and labeled D—the tail probability to the right of z.

Table A.1. Standard Normal Distribution Table (z Table)

(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 & Attribution

“Appendix A: Standard Normal Distribution Table (z Table)” is pulled from “Appendix A: Standard Normal Distribution Table (z Table)” by Linda R. Cote Ph.D.; Rupa G. Gordon Ph.D., Chrislyn E. Randell Ph.D., Judy Schmitt, and Helena Marvin, which is licensed CC BY-NC-SA 4.0.

License

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

Critical Research Methods in Psychology Copyright © 2025 by Stephanie D'Costa; Mireille Ukeye; Makenzie O'Neil; and Rebecca Anguiano is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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