Normal Curve Areas
z-score Area Area
Below Above
-3.5 0.0002 0.9998
-3.49 0.0002 0.9998
-3.48 0.0003 0.9997
-3.47 0.0003 0.9997
-3.46 0.0003 0.9997
-3.45 0.0003 0.9997
-3.44 0.0003 0.9997
-3.43 0.0003 0.9997
-3.42 0.0003 0.9997
-3.41 0.0003 0.9997
-3.4 0.0003 0.9997
-3.39 0.0003 0.9997
-3.38 0.0004 0.9996
-3.37 0.0004 0.9996
-3.36 0.0004 0.9996
-3.35 0.0004 0.9996
-3.34 0.0004 0.9996
-3.33 0.0004 0.9996
-3.32 0.0005 0.9995
-3.31 0.0005 0.9995
-3.3 0.0005 0.9995
-3.29 0.0005 0.9995
-3.28 0.0005 0.9995
-3.27 0.0005 0.9995
-3.26 0.0006 0.9994
-3.25 0.0006 0.9994
-3.24 0.0006 0.9994
-3.23 0.0006 0.9994
-3.22 0.0006 0.9994
-3.21 0.0007 0.9993
-3.2 0.0007 0.9993
-3.19 0.0007 0.9993
-3.18 0.0007 0.9993
-3.17 0.0008 0.9992
-3.16 0.0008 0.9992
-3.15 0.0008 0.9992
-3.14 0.0008 0.9992
-3.13 0.0009 0.9991
-3.12 0.0009 0.9991
-3.11 0.0009 0.9991
-3.1 0.001 0.999
-3.09 0.001 0.999
-3.08 0.001 0.999
-3.07 0.0011 0.9989
-3.06 0.0011 0.9989
-3.05 0.0011 0.9989
-3.04 0.0012 0.9988
-3.03 0.0012 0.9988
-3.02 0.0013 0.9987
-3.01 0.0013 0.9987
-3 0.0013 0.9987
-2.99 0.0014 0.9986
-2.98 0.0014 0.9986
-2.97 0.0015 0.9985
-2.96 0.0015 0.9985
-2.95 0.0016 0.9984
-2.94 0.0016 0.9984
-2.93 0.0017 0.9983
-2.92 0.0018 0.9982
-2.91 0.0018 0.9982
-2.9 0.0019 0.9981
-2.89 0.0019 0.9981
-2.88 0.002 0.998
-2.87 0.0021 0.9979
-2.86 0.0021 0.9979
-2.85 0.0022 0.9978
-2.84 0.0023 0.9977
-2.83 0.0023 0.9977
-2.82 0.0024 0.9976
-2.81 0.0025 0.9975
-2.8 0.0026 0.9974
-2.79 0.0026 0.9974
-2.78 0.0027 0.9973
-2.77 0.0028 0.9972
-2.76 0.0029 0.9971
-2.75 0.003 0.997
-2.74 0.0031 0.9969
-2.73 0.0032 0.9968
-2.72 0.0033 0.9967
-2.71 0.0034 0.9966
-2.7 0.0035 0.9965
-2.69 0.0036 0.9964
-2.68 0.0037 0.9963
-2.67 0.0038 0.9962
-2.66 0.0039 0.9961
-2.65 0.004 0.996
-2.64 0.0041 0.9959
-2.63 0.0043 0.9957
-2.62 0.0044 0.9956
-2.61 0.0045 0.9955
-2.6 0.0047 0.9953
-2.59 0.0048 0.9952
-2.58 0.0049 0.9951
-2.57 0.0051 0.9949
-2.56 0.0052 0.9948
-2.55 0.0054 0.9946
-2.54 0.0055 0.9945
-2.53 0.0057 0.9943
-2.52 0.0059 0.9941
-2.51 0.006 0.994
-2.5 0.0062 0.9938
-2.49 0.0064 0.9936
-2.48 0.0066 0.9934
-2.47 0.0068 0.9932
-2.46 0.0069 0.9931
-2.45 0.0071 0.9929
-2.44 0.0073 0.9927
-2.43 0.0075 0.9925
-2.42 0.0078 0.9922
-2.41 0.008 0.992
-2.4 0.0082 0.9918
-2.39 0.0084 0.9916
-2.38 0.0087 0.9913
-2.37 0.0089 0.9911
-2.36 0.0091 0.9909
-2.35 0.0094 0.9906
-2.34 0.0096 0.9904
-2.33 0.0099 0.9901
-2.32 0.0102 0.9898
-2.31 0.0104 0.9896
-2.3 0.0107 0.9893
-2.29 0.011 0.989
-2.28 0.0113 0.9887
-2.27 0.0116 0.9884
-2.26 0.0119 0.9881
-2.25 0.0122 0.9878
-2.24 0.0125 0.9875
-2.23 0.0129 0.9871
-2.22 0.0132 0.9868
-2.21 0.0136 0.9864
-2.2 0.0139 0.9861
-2.19 0.0143 0.9857
-2.18 0.0146 0.9854
-2.17 0.015 0.985
-2.16 0.0154 0.9846
-2.15 0.0158 0.9842
-2.14 0.0162 0.9838
-2.13 0.0166 0.9834
-2.12 0.017 0.983
-2.11 0.0174 0.9826
-2.1 0.0179 0.9821
-2.09 0.0183 0.9817
-2.08 0.0188 0.9812
-2.07 0.0192 0.9808
-2.06 0.0197 0.9803
-2.05 0.0202 0.9798
-2.04 0.0207 0.9793
-2.03 0.0212 0.9788
-2.02 0.0217 0.9783
-2.01 0.0222 0.9778
-2 0.0228 0.9772
-1.99 0.0233 0.9767
-1.98 0.0239 0.9761
-1.97 0.0244 0.9756
-1.96 0.025 0.975
-1.95 0.0256 0.9744
-1.94 0.0262 0.9738
-1.93 0.0268 0.9732
-1.92 0.0274 0.9726
-1.91 0.0281 0.9719
-1.9 0.0287 0.9713
-1.89 0.0294 0.9706
-1.88 0.0301 0.9699
-1.87 0.0307 0.9693
-1.86 0.0314 0.9686
-1.85 0.0322 0.9678
-1.84 0.0329 0.9671
-1.83 0.0336 0.9664
-1.82 0.0344 0.9656
-1.81 0.0351 0.9649
-1.8 0.0359 0.9641
-1.79 0.0367 0.9633
-1.78 0.0375 0.9625
-1.77 0.0384 0.9616
-1.76 0.0392 0.9608
-1.75 0.0401 0.9599
-1.74 0.0409 0.9591
-1.73 0.0418 0.9582
-1.72 0.0427 0.9573
-1.71 0.0436 0.9564
-1.7 0.0446 0.9554
-1.69 0.0455 0.9545
-1.68 0.0465 0.9535
-1.67 0.0475 0.9525
-1.66 0.0485 0.9515
-1.65 0.0495 0.9505
-1.64 0.0505 0.9495
-1.63 0.0516 0.9484
-1.62 0.0526 0.9474
-1.61 0.0537 0.9463
-1.6 0.0548 0.9452
-1.59 0.0559 0.9441
-1.58 0.0571 0.9429
-1.57 0.0582 0.9418
-1.56 0.0594 0.9406
-1.55 0.0606 0.9394
-1.54 0.0618 0.9382
-1.53 0.063 0.937
-1.52 0.0643 0.9357
-1.51 0.0655 0.9345
-1.5 0.0668 0.9332
-1.49 0.0681 0.9319
-1.48 0.0694 0.9306
-1.47 0.0708 0.9292
-1.46 0.0721 0.9279
-1.45 0.0735 0.9265
-1.44 0.0749 0.9251
-1.43 0.0764 0.9236
-1.42 0.0778 0.9222
-1.41 0.0793 0.9207
-1.4 0.0808 0.9192
-1.39 0.0823 0.9177
-1.38 0.0838 0.9162
-1.37 0.0853 0.9147
-1.36 0.0869 0.9131
-1.35 0.0885 0.9115
-1.34 0.0901 0.9099
-1.33 0.0918 0.9082
-1.32 0.0934 0.9066
-1.31 0.0951 0.9049
-1.3 0.0968 0.9032
-1.29 0.0985 0.9015
-1.28 0.1003 0.8997
-1.27 0.102 0.898
-1.26 0.1038 0.8962
-1.25 0.1056 0.8944
-1.24 0.1075 0.8925
-1.23 0.1093 0.8907
-1.22 0.1112 0.8888
-1.21 0.1131 0.8869
-1.2 0.1151 0.8849
-1.19 0.117 0.883
-1.18 0.119 0.881
-1.17 0.121 0.879
-1.16 0.123 0.877
-1.15 0.1251 0.8749
-1.14 0.1271 0.8729
-1.13 0.1292 0.8708
-1.12 0.1314 0.8686
-1.11 0.1335 0.8665
-1.1 0.1357 0.8643
-1.09 0.1379 0.8621
-1.08 0.1401 0.8599
-1.07 0.1423 0.8577
-1.06 0.1446 0.8554
-1.05 0.1469 0.8531
-1.04 0.1492 0.8508
-1.03 0.1515 0.8485
-1.02 0.1539 0.8461
-1.01 0.1562 0.8438
-1 0.1587 0.8413
-0.99 0.1611 0.8389
-0.98 0.1635 0.8365
-0.97 0.166 0.834
-0.96 0.1685 0.8315
-0.95 0.1711 0.8289
-0.94 0.1736 0.8264
-0.93 0.1762 0.8238
-0.92 0.1788 0.8212
-0.91 0.1814 0.8186
-0.9 0.1841 0.8159
-0.89 0.1867 0.8133
-0.88 0.1894 0.8106
-0.87 0.1922 0.8078
-0.86 0.1949 0.8051
-0.85 0.1977 0.8023
-0.84 0.2005 0.7995
-0.83 0.2033 0.7967
-0.82 0.2061 0.7939
-0.81 0.209 0.791
-0.8 0.2119 0.7881
-0.79 0.2148 0.7852
-0.78 0.2177 0.7823
-0.77 0.2206 0.7794
-0.76 0.2236 0.7764
-0.75 0.2266 0.7734
-0.74 0.2297 0.7703
-0.73 0.2327 0.7673
-0.72 0.2358 0.7642
-0.71 0.2389 0.7611
-0.7 0.242 0.758
-0.69 0.2451 0.7549
-0.68 0.2483 0.7517
-0.67 0.2514 0.7486
-0.66 0.2546 0.7454
-0.65 0.2578 0.7422
-0.64 0.2611 0.7389
-0.63 0.2643 0.7357
-0.62 0.2676 0.7324
-0.61 0.2709 0.7291
-0.6 0.2743 0.7257
-0.59 0.2776 0.7224
-0.58 0.281 0.719
-0.57 0.2843 0.7157
-0.56 0.2877 0.7123
-0.55 0.2912 0.7088
-0.54 0.2946 0.7054
-0.53 0.2981 0.7019
-0.52 0.3015 0.6985
-0.51 0.305 0.695
-0.5 0.3085 0.6915
-0.49 0.3121 0.6879
-0.48 0.3156 0.6844
-0.47 0.3192 0.6808
-0.46 0.3228 0.6772
-0.45 0.3264 0.6736
-0.44 0.33 0.67
-0.43 0.3336 0.6664
-0.42 0.3372 0.6628
-0.41 0.3409 0.6591
-0.4 0.3446 0.6554
-0.39 0.3483 0.6517
-0.38 0.352 0.648
-0.37 0.3557 0.6443
-0.36 0.3594 0.6406
-0.35 0.3632 0.6368
-0.34 0.3669 0.6331
-0.33 0.3707 0.6293
-0.32 0.3745 0.6255
-0.31 0.3783 0.6217
-0.3 0.3821 0.6179
-0.29 0.3859 0.6141
-0.28 0.3897 0.6103
-0.27 0.3936 0.6064
-0.26 0.3974 0.6026
-0.25 0.4013 0.5987
-0.24 0.4052 0.5948
-0.23 0.409 0.591
-0.22 0.4129 0.5871
-0.21 0.4168 0.5832
-0.2 0.4207 0.5793
-0.19 0.4247 0.5753
-0.18 0.4286 0.5714
-0.17 0.4325 0.5675
-0.16 0.4364 0.5636
-0.15 0.4404 0.5596
-0.14 0.4443 0.5557
-0.13 0.4483 0.5517
-0.12 0.4522 0.5478
-0.11 0.4562 0.5438
-0.1 0.4602 0.5398
-0.09 0.4641 0.5359
-0.08 0.4681 0.5319
-0.07 0.4721 0.5279
-0.06 0.4761 0.5239
-0.05 0.4801 0.5199
-0.04 0.484 0.516
-0.03 0.488 0.512
-0.02 0.492 0.508
-0.01 0.496 0.504
0 0.5 0.5
0.01 0.504 0.496
0.02 0.508 0.492
0.03 0.512 0.488
0.04 0.516 0.484
0.05 0.5199 0.4801
0.06 0.5239 0.4761
0.07 0.5279 0.4721
0.08 0.5319 0.4681
0.09 0.5359 0.4641
0.1 0.5398 0.4602
0.11 0.5438 0.4562
0.12 0.5478 0.4522
0.13 0.5517 0.4483
0.14 0.5557 0.4443
0.15 0.5596 0.4404
0.16 0.5636 0.4364
0.17 0.5675 0.4325
0.18 0.5714 0.4286
0.19 0.5753 0.4247
0.2 0.5793 0.4207
0.21 0.5832 0.4168
0.22 0.5871 0.4129
0.23 0.591 0.409
0.24 0.5948 0.4052
0.25 0.5987 0.4013
0.26 0.6026 0.3974
0.27 0.6064 0.3936
0.28 0.6103 0.3897
0.29 0.6141 0.3859
0.3 0.6179 0.3821
0.31 0.6217 0.3783
0.32 0.6255 0.3745
0.33 0.6293 0.3707
0.34 0.6331 0.3669
0.35 0.6368 0.3632
0.36 0.6406 0.3594
0.37 0.6443 0.3557
0.38 0.648 0.352
0.39 0.6517 0.3483
0.4 0.6554 0.3446
0.41 0.6591 0.3409
0.42 0.6628 0.3372
0.43 0.6664 0.3336
0.44 0.67 0.33
0.45 0.6736 0.3264
0.46 0.6772 0.3228
0.47 0.6808 0.3192
0.48 0.6844 0.3156
0.49 0.6879 0.3121
0.5 0.6915 0.3085
0.51 0.695 0.305
0.52 0.6985 0.3015
0.53 0.7019 0.2981
0.54 0.7054 0.2946
0.55 0.7088 0.2912
0.56 0.7123 0.2877
0.57 0.7157 0.2843
0.58 0.719 0.281
0.59 0.7224 0.2776
0.6 0.7257 0.2743
0.61 0.7291 0.2709
0.62 0.7324 0.2676
0.63 0.7357 0.2643
0.64 0.7389 0.2611
0.65 0.7422 0.2578
0.66 0.7454 0.2546
0.67 0.7486 0.2514
0.68 0.7517 0.2483
0.69 0.7549 0.2451
0.7 0.758 0.242
0.71 0.7611 0.2389
0.72 0.7642 0.2358
0.73 0.7673 0.2327
0.74 0.7703 0.2297
0.75 0.7734 0.2266
0.76 0.7764 0.2236
0.77 0.7794 0.2206
0.78 0.7823 0.2177
0.79 0.7852 0.2148
0.8 0.7881 0.2119
0.81 0.791 0.209
0.82 0.7939 0.2061
0.83 0.7967 0.2033
0.84 0.7995 0.2005
0.85 0.8023 0.1977
0.86 0.8051 0.1949
0.87 0.8078 0.1922
0.88 0.8106 0.1894
0.89 0.8133 0.1867
0.9 0.8159 0.1841
0.91 0.8186 0.1814
0.92 0.8212 0.1788
0.93 0.8238 0.1762
0.94 0.8264 0.1736
0.95 0.8289 0.1711
0.96 0.8315 0.1685
0.97 0.834 0.166
0.98 0.8365 0.1635
0.99 0.8389 0.1611
1 0.8413 0.1587
1.01 0.8438 0.1562
1.02 0.8461 0.1539
1.03 0.8485 0.1515
1.04 0.8508 0.1492
1.05 0.8531 0.1469
1.06 0.8554 0.1446
1.07 0.8577 0.1423
1.08 0.8599 0.1401
1.09 0.8621 0.1379
1.1 0.8643 0.1357
1.11 0.8665 0.1335
1.12 0.8686 0.1314
1.13 0.8708 0.1292
1.14 0.8729 0.1271
1.15 0.8749 0.1251
1.16 0.877 0.123
1.17 0.879 0.121
1.18 0.881 0.119
1.19 0.883 0.117
1.2 0.8849 0.1151
1.21 0.8869 0.1131
1.22 0.8888 0.1112
1.23 0.8907 0.1093
1.24 0.8925 0.1075
1.25 0.8944 0.1056
1.26 0.8962 0.1038
1.27 0.898 0.102
1.28 0.8997 0.1003
1.29 0.9015 0.0985
1.3 0.9032 0.0968
1.31 0.9049 0.0951
1.32 0.9066 0.0934
1.33 0.9082 0.0918
1.34 0.9099 0.0901
1.35 0.9115 0.0885
1.36 0.9131 0.0869
1.37 0.9147 0.0853
1.38 0.9162 0.0838
1.39 0.9177 0.0823
1.4 0.9192 0.0808
1.41 0.9207 0.0793
1.42 0.9222 0.0778
1.43 0.9236 0.0764
1.44 0.9251 0.0749
1.45 0.9265 0.0735
1.46 0.9279 0.0721
1.47 0.9292 0.0708
1.48 0.9306 0.0694
1.49 0.9319 0.0681
1.5 0.9332 0.0668
1.51 0.9345 0.0655
1.52 0.9357 0.0643
1.53 0.937 0.063
1.54 0.9382 0.0618
1.55 0.9394 0.0606
1.56 0.9406 0.0594
1.57 0.9418 0.0582
1.58 0.9429 0.0571
1.59 0.9441 0.0559
1.6 0.9452 0.0548
1.61 0.9463 0.0537
1.62 0.9474 0.0526
1.63 0.9484 0.0516
1.64 0.9495 0.0505
1.65 0.9505 0.0495
1.66 0.9515 0.0485
1.67 0.9525 0.0475
1.68 0.9535 0.0465
1.69 0.9545 0.0455
1.7 0.9554 0.0446
1.71 0.9564 0.0436
1.72 0.9573 0.0427
1.73 0.9582 0.0418
1.74 0.9591 0.0409
1.75 0.9599 0.0401
1.76 0.9608 0.0392
1.77 0.9616 0.0384
1.78 0.9625 0.0375
1.79 0.9633 0.0367
1.8 0.9641 0.0359
1.81 0.9649 0.0351
1.82 0.9656 0.0344
1.83 0.9664 0.0336
1.84 0.9671 0.0329
1.85 0.9678 0.0322
1.86 0.9686 0.0314
1.87 0.9693 0.0307
1.88 0.9699 0.0301
1.89 0.9706 0.0294
1.9 0.9713 0.0287
1.91 0.9719 0.0281
1.92 0.9726 0.0274
1.93 0.9732 0.0268
1.94 0.9738 0.0262
1.95 0.9744 0.0256
1.96 0.975 0.025
1.97 0.9756 0.0244
1.98 0.9761 0.0239
1.99 0.9767 0.0233
2 0.9772 0.0228
2.01 0.9778 0.0222
2.02 0.9783 0.0217
2.03 0.9788 0.0212
2.04 0.9793 0.0207
2.05 0.9798 0.0202
2.06 0.9803 0.0197
2.07 0.9808 0.0192
2.08 0.9812 0.0188
2.09 0.9817 0.0183
2.1 0.9821 0.0179
2.11 0.9826 0.0174
2.12 0.983 0.017
2.13 0.9834 0.0166
2.14 0.9838 0.0162
2.15 0.9842 0.0158
2.16 0.9846 0.0154
2.17 0.985 0.015
2.18 0.9854 0.0146
2.19 0.9857 0.0143
2.2 0.9861 0.0139
2.21 0.9864 0.0136
2.22 0.9868 0.0132
2.23 0.9871 0.0129
2.24 0.9875 0.0125
2.25 0.9878 0.0122
2.26 0.9881 0.0119
2.27 0.9884 0.0116
2.28 0.9887 0.0113
2.29 0.989 0.011
2.3 0.9893 0.0107
2.31 0.9896 0.0104
2.32 0.9898 0.0102
2.33 0.9901 0.0099
2.34 0.9904 0.0096
2.35 0.9906 0.0094
2.36 0.9909 0.0091
2.37 0.9911 0.0089
2.38 0.9913 0.0087
2.39 0.9916 0.0084
2.4 0.9918 0.0082
2.41 0.992 0.008
2.42 0.9922 0.0078
2.43 0.9925 0.0075
2.44 0.9927 0.0073
2.45 0.9929 0.0071
2.46 0.9931 0.0069
2.47 0.9932 0.0068
2.48 0.9934 0.0066
2.49 0.9936 0.0064
2.5 0.9938 0.0062
2.51 0.994 0.006
2.52 0.9941 0.0059
2.53 0.9943 0.0057
2.54 0.9945 0.0055
2.55 0.9946 0.0054
2.56 0.9948 0.0052
2.57 0.9949 0.0051
2.58 0.9951 0.0049
2.59 0.9952 0.0048
2.6 0.9953 0.0047
2.61 0.9955 0.0045
2.62 0.9956 0.0044
2.63 0.9957 0.0043
2.64 0.9959 0.0041
2.65 0.996 0.004
2.66 0.9961 0.0039
2.67 0.9962 0.0038
2.68 0.9963 0.0037
2.69 0.9964 0.0036
2.7 0.9965 0.0035
2.71 0.9966 0.0034
2.72 0.9967 0.0033
2.73 0.9968 0.0032
2.74 0.9969 0.0031
2.75 0.997 0.003
2.76 0.9971 0.0029
2.77 0.9972 0.0028
2.78 0.9973 0.0027
2.79 0.9974 0.0026
2.8 0.9974 0.0026
2.81 0.9975 0.0025
2.82 0.9976 0.0024
2.83 0.9977 0.0023
2.84 0.9977 0.0023
2.85 0.9978 0.0022
2.86 0.9979 0.0021
2.87 0.9979 0.0021
2.88 0.998 0.002
2.89 0.9981 0.0019
2.9 0.9981 0.0019
2.91 0.9982 0.0018
2.92 0.9982 0.0018
2.93 0.9983 0.0017
2.94 0.9984 0.0016
2.95 0.9984 0.0016
2.96 0.9985 0.0015
2.97 0.9985 0.0015
2.98 0.9986 0.0014
2.99 0.9986 0.0014
3 0.9987 0.0013
3.01 0.9987 0.0013
3.02 0.9987 0.0013
3.03 0.9988 0.0012
3.04 0.9988 0.0012
3.05 0.9989 0.0011
3.06 0.9989 0.0011
3.07 0.9989 0.0011
3.08 0.999 0.001
3.09 0.999 0.001
3.1 0.999 0.001
3.11 0.9991 0.0009
3.12 0.9991 0.0009
3.13 0.9991 0.0009
3.14 0.9992 0.0008
3.15 0.9992 0.0008
3.16 0.9992 0.0008
3.17 0.9992 0.0008
3.18 0.9993 0.0007
3.19 0.9993 0.0007
3.2 0.9993 0.0007
3.21 0.9993 0.0007
3.22 0.9994 0.0006
3.23 0.9994 0.0006
3.24 0.9994 0.0006
3.25 0.9994 0.0006
3.26 0.9994 0.0006
3.27 0.9995 0.0005
3.28 0.9995 0.0005
3.29 0.9995 0.0005
3.3 0.9995 0.0005
3.31 0.9995 0.0005
3.32 0.9995 0.0005
3.33 0.9996 0.0004
3.34 0.9996 0.0004
3.35 0.9996 0.0004
3.36 0.9996 0.0004
3.37 0.9996 0.0004
3.38 0.9996 0.0004
3.39 0.9997 0.0003
3.4 0.9997 0.0003
3.41 0.9997 0.0003
3.42 0.9997 0.0003
3.43 0.9997 0.0003
3.44 0.9997 0.0003
3.45 0.9997 0.0003
3.46 0.9997 0.0003
3.47 0.9997 0.0003
3.48 0.9997 0.0003
3.49 0.9998 0.0002
3.5 0.9998 0.0002