Login
📚 Statistical Inference for Everyone
Chapters ▾

16.3 Cumulative Standard Normal Distribution

Standard Normal curve with the left tail below z=-1 shaded and labeled 'area' โ€” the picture that heads each column block of the cumulative table, showing which area the tabulated values give.
๐ณ Area on Left
-3.700.0001
-3.690.0001
-3.680.0001
-3.670.0001
-3.660.0001
-3.650.0001
-3.640.0001
-3.630.0001
-3.620.0001
-3.610.0002
-3.600.0002
-3.590.0002
-3.580.0002
-3.570.0002
-3.560.0002
-3.550.0002
-3.540.0002
-3.530.0002
-3.520.0002
-3.510.0002
-3.500.0002
-3.490.0002
-3.480.0003
-3.470.0003
-3.460.0003
-3.450.0003
-3.440.0003
-3.430.0003
-3.420.0003
-3.410.0003
-3.400.0003
๐ณ Area on Left
-3.400.0003
-3.390.0003
-3.380.0004
-3.370.0004
-3.360.0004
-3.350.0004
-3.340.0004
-3.330.0004
-3.320.0005
-3.310.0005
-3.300.0005
-3.290.0005
-3.280.0005
-3.270.0005
-3.260.0006
-3.250.0006
-3.240.0006
-3.230.0006
-3.220.0006
-3.210.0007
-3.200.0007
-3.190.0007
-3.180.0007
-3.170.0008
-3.160.0008
-3.150.0008
-3.140.0008
-3.130.0009
-3.120.0009
-3.110.0009
-3.100.0010
๐ณ Area on Left
-3.100.0010
-3.090.0010
-3.080.0010
-3.070.0011
-3.060.0011
-3.050.0011
-3.040.0012
-3.030.0012
-3.020.0013
-3.010.0013
-3.000.0013
-2.990.0014
-2.980.0014
-2.970.0015
-2.960.0015
-2.950.0016
-2.940.0016
-2.930.0017
-2.920.0018
-2.910.0018
-2.900.0019
-2.890.0019
-2.880.0020
-2.870.0021
-2.860.0021
-2.850.0022
-2.840.0023
-2.830.0023
-2.820.0024
-2.810.0025
-2.800.0026
๐ณ Area on Left
-2.800.0026
-2.790.0026
-2.780.0027
-2.770.0028
-2.760.0029
-2.750.0030
-2.740.0031
-2.730.0032
-2.720.0033
-2.710.0034
-2.700.0035
-2.690.0036
-2.680.0037
-2.670.0038
-2.660.0039
-2.650.0040
-2.640.0041
-2.630.0043
-2.620.0044
-2.610.0045
-2.600.0047
-2.590.0048
-2.580.0049
-2.570.0051
-2.560.0052
-2.550.0054
-2.540.0055
-2.530.0057
-2.520.0059
-2.510.0060
-2.500.0062
๐ณ Area on Left
-2.500.0062
-2.490.0064
-2.480.0066
-2.470.0068
-2.460.0069
-2.450.0071
-2.440.0073
-2.430.0075
-2.420.0078
-2.410.0080
-2.400.0082
-2.390.0084
-2.380.0087
-2.370.0089
-2.360.0091
-2.350.0094
-2.340.0096
-2.330.0099
-2.320.0102
-2.310.0104
-2.300.0107
-2.290.0110
-2.280.0113
-2.270.0116
-2.260.0119
-2.250.0122
-2.240.0125
-2.230.0129
-2.220.0132
-2.210.0136
-2.200.0139

Cumulative Normal Distribution (cont.)

Standard Normal curve with the left tail below z=-1 shaded and labeled 'area' โ€” the picture that heads each column block of the cumulative table, showing which area the tabulated values give.
๐ณ Area on Left
-2.200.0139
-2.190.0143
-2.180.0146
-2.170.0150
-2.160.0154
-2.150.0158
-2.140.0162
-2.130.0166
-2.120.0170
-2.110.0174
-2.100.0179
-2.090.0183
-2.080.0188
-2.070.0192
-2.060.0197
-2.050.0202
-2.040.0207
-2.030.0212
-2.020.0217
-2.010.0222
-2.000.0228
-1.990.0233
-1.980.0239
-1.970.0244
-1.960.0250
-1.950.0256
-1.940.0262
-1.930.0268
-1.920.0274
-1.910.0281
-1.900.0287
๐ณ Area on Left
-1.900.0287
-1.890.0294
-1.880.0301
-1.870.0307
-1.860.0314
-1.850.0322
-1.840.0329
-1.830.0336
-1.820.0344
-1.810.0351
-1.800.0359
-1.790.0367
-1.780.0375
-1.770.0384
-1.760.0392
-1.750.0401
-1.740.0409
-1.730.0418
-1.720.0427
-1.710.0436
-1.700.0446
-1.690.0455
-1.680.0465
-1.670.0475
-1.660.0485
-1.650.0495
-1.640.0505
-1.630.0516
-1.620.0526
-1.610.0537
-1.600.0548
๐ณ Area on Left
-1.600.0548
-1.590.0559
-1.580.0571
-1.570.0582
-1.560.0594
-1.550.0606
-1.540.0618
-1.530.0630
-1.520.0643
-1.510.0655
-1.500.0668
-1.490.0681
-1.480.0694
-1.470.0708
-1.460.0721
-1.450.0735
-1.440.0749
-1.430.0764
-1.420.0778
-1.410.0793
-1.400.0808
-1.390.0823
-1.380.0838
-1.370.0853
-1.360.0869
-1.350.0885
-1.340.0901
-1.330.0918
-1.320.0934
-1.310.0951
-1.300.0968
๐ณ Area on Left
-1.300.0968
-1.290.0985
-1.280.1003
-1.270.1020
-1.260.1038
-1.250.1056
-1.240.1075
-1.230.1093
-1.220.1112
-1.210.1131
-1.200.1151
-1.190.1170
-1.180.1190
-1.170.1210
-1.160.1230
-1.150.1251
-1.140.1271
-1.130.1292
-1.120.1314
-1.110.1335
-1.100.1357
-1.090.1379
-1.080.1401
-1.070.1423
-1.060.1446
-1.050.1469
-1.040.1492
-1.030.1515
-1.020.1539
-1.010.1562
-1.000.1587
๐ณ Area on Left
-1.000.1587
-0.990.1611
-0.980.1635
-0.970.1660
-0.960.1685
-0.950.1711
-0.940.1736
-0.930.1762
-0.920.1788
-0.910.1814
-0.900.1841
-0.890.1867
-0.880.1894
-0.870.1922
-0.860.1949
-0.850.1977
-0.840.2005
-0.830.2033
-0.820.2061
-0.810.2090
-0.800.2119
-0.790.2148
-0.780.2177
-0.770.2206
-0.760.2236
-0.750.2266
-0.740.2296
-0.730.2327
-0.720.2358
-0.710.2389
-0.700.2420

Cumulative Normal Distribution (cont.)

Standard Normal curve with the left tail below z=-1 shaded and labeled 'area' โ€” the picture that heads each column block of the cumulative table, showing which area the tabulated values give.
๐ณ Area on Left
-0.700.2420
-0.690.2451
-0.680.2483
-0.670.2514
-0.660.2546
-0.650.2578
-0.640.2611
-0.630.2643
-0.620.2676
-0.610.2709
-0.600.2743
-0.590.2776
-0.580.2810
-0.570.2843
-0.560.2877
-0.550.2912
-0.540.2946
-0.530.2981
-0.520.3015
-0.510.3050
-0.500.3085
-0.490.3121
-0.480.3156
-0.470.3192
-0.460.3228
-0.450.3264
-0.440.3300
-0.430.3336
-0.420.3372
-0.410.3409
-0.400.3446
๐ณ Area on Left
-0.400.3446
-0.390.3483
-0.380.3520
-0.370.3557
-0.360.3594
-0.350.3632
-0.340.3669
-0.330.3707
-0.320.3745
-0.310.3783
-0.300.3821
-0.290.3859
-0.280.3897
-0.270.3936
-0.260.3974
-0.250.4013
-0.240.4052
-0.230.4090
-0.220.4129
-0.210.4168
-0.200.4207
-0.190.4247
-0.180.4286
-0.170.4325
-0.160.4364
-0.150.4404
-0.140.4443
-0.130.4483
-0.120.4522
-0.110.4562
-0.100.4602
๐ณ Area on Left
-0.100.4602
-0.090.4641
-0.080.4681
-0.070.4721
-0.060.4761
-0.050.4801
-0.040.4840
-0.030.4880
-0.020.4920
-0.010.4960
0.000.5000
0.010.5040
0.020.5080
0.030.5120
0.040.5160
0.050.5199
0.060.5239
0.070.5279
0.080.5319
0.090.5359
0.100.5398
0.110.5438
0.120.5478
0.130.5517
0.140.5557
0.150.5596
0.160.5636
0.170.5675
0.180.5714
0.190.5753
0.200.5793
๐ณ Area on Left
0.200.5793
0.210.5832
0.220.5871
0.230.5910
0.240.5948
0.250.5987
0.260.6026
0.270.6064
0.280.6103
0.290.6141
0.300.6179
0.310.6217
0.320.6255
0.330.6293
0.340.6331
0.350.6368
0.360.6406
0.370.6443
0.380.6480
0.390.6517
0.400.6554
0.410.6591
0.420.6628
0.430.6664
0.440.6700
0.450.6736
0.460.6772
0.470.6808
0.480.6844
0.490.6879
0.500.6915
๐ณ Area on Left
0.500.6915
0.510.6950
0.520.6985
0.530.7019
0.540.7054
0.550.7088
0.560.7123
0.570.7157
0.580.7190
0.590.7224
0.600.7257
0.610.7291
0.620.7324
0.630.7357
0.640.7389
0.650.7422
0.660.7454
0.670.7486
0.680.7517
0.690.7549
0.700.7580
0.710.7611
0.720.7642
0.730.7673
0.740.7704
0.750.7734
0.760.7764
0.770.7794
0.780.7823
0.790.7852
0.800.7881

Cumulative Normal Distribution (cont.)

Standard Normal curve with the left tail below z=-1 shaded and labeled 'area' โ€” the picture that heads each column block of the cumulative table, showing which area the tabulated values give.
๐ณ Area on Left
0.800.7881
0.810.7910
0.820.7939
0.830.7967
0.840.7995
0.850.8023
0.860.8051
0.870.8078
0.880.8106
0.890.8133
0.900.8159
0.910.8186
0.920.8212
0.930.8238
0.940.8264
0.950.8289
0.960.8315
0.970.8340
0.980.8365
0.990.8389
1.000.8413
1.010.8438
1.020.8461
1.030.8485
1.040.8508
1.050.8531
1.060.8554
1.070.8577
1.080.8599
1.090.8621
1.100.8643
๐ณ Area on Left
1.100.8643
1.110.8665
1.120.8686
1.130.8708
1.140.8729
1.150.8749
1.160.8770
1.170.8790
1.180.8810
1.190.8830
1.200.8849
1.210.8869
1.220.8888
1.230.8907
1.240.8925
1.250.8944
1.260.8962
1.270.8980
1.280.8997
1.290.9015
1.300.9032
1.310.9049
1.320.9066
1.330.9082
1.340.9099
1.350.9115
1.360.9131
1.370.9147
1.380.9162
1.390.9177
1.400.9192
๐ณ Area on Left
1.400.9192
1.410.9207
1.420.9222
1.430.9236
1.440.9251
1.450.9265
1.460.9279
1.470.9292
1.480.9306
1.490.9319
1.500.9332
1.510.9345
1.520.9357
1.530.9370
1.540.9382
1.550.9394
1.560.9406
1.570.9418
1.580.9429
1.590.9441
1.600.9452
1.610.9463
1.620.9474
1.630.9484
1.640.9495
1.650.9505
1.660.9515
1.670.9525
1.680.9535
1.690.9545
1.700.9554
๐ณ Area on Left
1.700.9554
1.710.9564
1.720.9573
1.730.9582
1.740.9591
1.750.9599
1.760.9608
1.770.9616
1.780.9625
1.790.9633
1.800.9641
1.810.9649
1.820.9656
1.830.9664
1.840.9671
1.850.9678
1.860.9686
1.870.9693
1.880.9699
1.890.9706
1.900.9713
1.910.9719
1.920.9726
1.930.9732
1.940.9738
1.950.9744
1.960.9750
1.970.9756
1.980.9761
1.990.9767
2.000.9772
๐ณ Area on Left
2.000.9772
2.010.9778
2.020.9783
2.030.9788
2.040.9793
2.050.9798
2.060.9803
2.070.9808
2.080.9812
2.090.9817
2.100.9821
2.110.9826
2.120.9830
2.130.9834
2.140.9838
2.150.9842
2.160.9846
2.170.9850
2.180.9854
2.190.9857
2.200.9861
2.210.9864
2.220.9868
2.230.9871
2.240.9875
2.250.9878
2.260.9881
2.270.9884
2.280.9887
2.290.9890
2.300.9893

Cumulative Normal Distribution (cont.)

Standard Normal curve with the left tail below z=-1 shaded and labeled 'area' โ€” the picture that heads each column block of the cumulative table, showing which area the tabulated values give.
๐ณ Area on Left
2.300.9893
2.310.9896
2.320.9898
2.330.9901
2.340.9904
2.350.9906
2.360.9909
2.370.9911
2.380.9913
2.390.9916
2.400.9918
2.410.9920
2.420.9922
2.430.9925
2.440.9927
2.450.9929
2.460.9931
2.470.9932
2.480.9934
2.490.9936
2.500.9938
2.510.9940
2.520.9941
2.530.9943
2.540.9945
2.550.9946
2.560.9948
2.570.9949
2.580.9951
2.590.9952
2.600.9953
๐ณ Area on Left
2.600.9953
2.610.9955
2.620.9956
2.630.9957
2.640.9959
2.650.9960
2.660.9961
2.670.9962
2.680.9963
2.690.9964
2.700.9965
2.710.9966
2.720.9967
2.730.9968
2.740.9969
2.750.9970
2.760.9971
2.770.9972
2.780.9973
2.790.9974
2.800.9974
2.810.9975
2.820.9976
2.830.9977
2.840.9977
2.850.9978
2.860.9979
2.870.9979
2.880.9980
2.890.9981
2.900.9981
๐ณ Area on Left
2.900.9981
2.910.9982
2.920.9982
2.930.9983
2.940.9984
2.950.9984
2.960.9985
2.970.9985
2.980.9986
2.990.9986
3.000.9987
3.010.9987
3.020.9987
3.030.9988
3.040.9988
3.050.9989
3.060.9989
3.070.9989
3.080.9990
3.090.9990
3.100.9990
3.110.9991
3.120.9991
3.130.9991
3.140.9992
3.150.9992
3.160.9992
3.170.9992
3.180.9993
3.190.9993
3.200.9993
๐ณ Area on Left
3.200.9993
3.210.9993
3.220.9994
3.230.9994
3.240.9994
3.250.9994
3.260.9994
3.270.9995
3.280.9995
3.290.9995
3.300.9995
3.310.9995
3.320.9995
3.330.9996
3.340.9996
3.350.9996
3.360.9996
3.370.9996
3.380.9996
3.390.9997
3.400.9997
3.410.9997
3.420.9997
3.430.9997
3.440.9997
3.450.9997
3.460.9997
3.470.9997
3.480.9997
3.490.9998
3.500.9998
๐ณ Area on Left
3.500.9998
3.510.9998
3.520.9998
3.530.9998
3.540.9998
3.550.9998
3.560.9998
3.570.9998
3.580.9998
3.590.9998
3.600.9998
3.610.9998
3.620.9999
3.630.9999
3.640.9999
3.650.9999
3.660.9999
3.670.9999
3.680.9999
3.690.9999
3.700.9999
3.710.9999
3.720.9999
3.730.9999
3.740.9999
3.750.9999
3.760.9999
3.770.9999
3.780.9999
3.790.9999
3.800.9999

Adapted from Statistical Inference for Everyone, by Brian Blais (Bryant University), licensed under CC BY-SA 4.0 (dual-licensed under the GNU FDL 1.2 or later; this adaptation uses the CC BY-SA grant). Changes were made; this adaptation is distributed under the same license. License: CC-BY-SA-4.0.