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Statistics LibreTexts

16.2: z-table (aka Standard Normal Distribution Table)

  • Page ID
    49385
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    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

    This table taken from Cote et al, 2021, shared under a CC BY-NC-SA 4.0 license.


    16.2: z-table (aka Standard Normal Distribution Table) is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts.