Quantiles of the Standard-Normal-(z)-Distribution

\(z\) \(\phi(-z)\) \(\phi(z)\) \(D(z)\)
0.01 0.496 0.504 0.007979
0.02 0.492 0.508 0.01596
0.03 0.488 0.512 0.02393
0.04 0.484 0.516 0.03191
0.05 0.4801 0.5199 0.03988
0.06 0.4761 0.5239 0.04784
0.07 0.4721 0.5279 0.05581
0.08 0.4681 0.5319 0.06376
0.09 0.4641 0.5359 0.07171
0.1 0.4602 0.5398 0.07966
0.11 0.4562 0.5438 0.08759
0.12 0.4522 0.5478 0.09552
0.13 0.4483 0.5517 0.1034
0.14 0.4443 0.5557 0.1113
0.15 0.4404 0.5596 0.1192
0.16 0.4364 0.5636 0.1271
0.17 0.4325 0.5675 0.135
0.18 0.4286 0.5714 0.1428
0.19 0.4247 0.5753 0.1507
0.2 0.4207 0.5793 0.1585
0.21 0.4168 0.5832 0.1663
0.22 0.4129 0.5871 0.1741
0.23 0.409 0.591 0.1819
0.24 0.4052 0.5948 0.1897
0.25 0.4013 0.5987 0.1974
0.26 0.3974 0.6026 0.2051
0.27 0.3936 0.6064 0.2128
0.28 0.3897 0.6103 0.2205
0.29 0.3859 0.6141 0.2282
0.3 0.3821 0.6179 0.2358
0.31 0.3783 0.6217 0.2434
0.32 0.3745 0.6255 0.251
0.33 0.3707 0.6293 0.2586
0.34 0.3669 0.6331 0.2661
0.35 0.3632 0.6368 0.2737
0.36 0.3594 0.6406 0.2812
0.37 0.3557 0.6443 0.2886
0.38 0.352 0.648 0.2961
0.39 0.3483 0.6517 0.3035
0.4 0.3446 0.6554 0.3108
0.41 0.3409 0.6591 0.3182
0.42 0.3372 0.6628 0.3255
0.43 0.3336 0.6664 0.3328
0.44 0.33 0.67 0.3401
0.45 0.3264 0.6736 0.3473
0.46 0.3228 0.6772 0.3545
0.47 0.3192 0.6808 0.3616
0.48 0.3156 0.6844 0.3688
0.49 0.3121 0.6879 0.3759
0.5 0.3085 0.6915 0.3829
0.51 0.305 0.695 0.3899
0.52 0.3015 0.6985 0.3969
0.53 0.2981 0.7019 0.4039
0.54 0.2946 0.7054 0.4108
0.55 0.2912 0.7088 0.4177
0.56 0.2877 0.7123 0.4245
0.57 0.2843 0.7157 0.4313
0.58 0.281 0.719 0.4381
0.59 0.2776 0.7224 0.4448
0.6 0.2743 0.7257 0.4515
0.61 0.2709 0.7291 0.4581
0.62 0.2676 0.7324 0.4647
0.63 0.2643 0.7357 0.4713
0.64 0.2611 0.7389 0.4778
0.65 0.2578 0.7422 0.4843
0.66 0.2546 0.7454 0.4907
0.67 0.2514 0.7486 0.4971
0.68 0.2483 0.7517 0.5035
0.69 0.2451 0.7549 0.5098
0.7 0.242 0.758 0.5161
0.71 0.2389 0.7611 0.5223
0.72 0.2358 0.7642 0.5285
0.73 0.2327 0.7673 0.5346
0.74 0.2296 0.7704 0.5407
0.75 0.2266 0.7734 0.5467
0.76 0.2236 0.7764 0.5527
0.77 0.2206 0.7794 0.5587
0.78 0.2177 0.7823 0.5646
0.79 0.2148 0.7852 0.5705
0.8 0.2119 0.7881 0.5763
0.81 0.209 0.791 0.5821
0.82 0.2061 0.7939 0.5878
0.83 0.2033 0.7967 0.5935
0.84 0.2005 0.7995 0.5991
0.85 0.1977 0.8023 0.6047
0.86 0.1949 0.8051 0.6102
0.87 0.1922 0.8078 0.6157
0.88 0.1894 0.8106 0.6211
0.89 0.1867 0.8133 0.6265
0.9 0.1841 0.8159 0.6319
0.91 0.1814 0.8186 0.6372
0.92 0.1788 0.8212 0.6424
0.93 0.1762 0.8238 0.6476
0.94 0.1736 0.8264 0.6528
0.95 0.1711 0.8289 0.6579
0.96 0.1685 0.8315 0.6629
0.97 0.166 0.834 0.668
0.98 0.1635 0.8365 0.6729
0.99 0.1611 0.8389 0.6778
1 0.1587 0.8413 0.6827
1.01 0.1562 0.8438 0.6875
1.02 0.1539 0.8461 0.6923
1.03 0.1515 0.8485 0.697
1.04 0.1492 0.8508 0.7017
1.05 0.1469 0.8531 0.7063
1.06 0.1446 0.8554 0.7109
1.07 0.1423 0.8577 0.7154
1.08 0.1401 0.8599 0.7199
1.09 0.1379 0.8621 0.7243
1.1 0.1357 0.8643 0.7287
1.11 0.1335 0.8665 0.733
1.12 0.1314 0.8686 0.7373
1.13 0.1292 0.8708 0.7415
1.14 0.1271 0.8729 0.7457
1.15 0.1251 0.8749 0.7499
1.16 0.123 0.877 0.754
1.17 0.121 0.879 0.758
1.18 0.119 0.881 0.762
1.19 0.117 0.883 0.766
1.2 0.1151 0.8849 0.7699
1.21 0.1131 0.8869 0.7737
1.22 0.1112 0.8888 0.7775
1.23 0.1093 0.8907 0.7813
1.24 0.1075 0.8925 0.785
1.25 0.1056 0.8944 0.7887
1.26 0.1038 0.8962 0.7923
1.27 0.102 0.898 0.7959
1.28 0.1003 0.8997 0.7995
1.29 0.09853 0.9015 0.8029
1.3 0.0968 0.9032 0.8064
1.31 0.0951 0.9049 0.8098
1.32 0.09342 0.9066 0.8132
1.33 0.09176 0.9082 0.8165
1.34 0.09012 0.9099 0.8198
1.35 0.08851 0.9115 0.823
1.36 0.08691 0.9131 0.8262
1.37 0.08534 0.9147 0.8293
1.38 0.08379 0.9162 0.8324
1.39 0.08226 0.9177 0.8355
1.4 0.08076 0.9192 0.8385
1.41 0.07927 0.9207 0.8415
1.42 0.0778 0.9222 0.8444
1.43 0.07636 0.9236 0.8473
1.44 0.07493 0.9251 0.8501
1.45 0.07353 0.9265 0.8529
1.46 0.07215 0.9279 0.8557
1.47 0.07078 0.9292 0.8584
1.48 0.06944 0.9306 0.8611
1.49 0.06811 0.9319 0.8638
1.5 0.06681 0.9332 0.8664
1.51 0.06552 0.9345 0.869
1.52 0.06426 0.9357 0.8715
1.53 0.06301 0.937 0.874
1.54 0.06178 0.9382 0.8764
1.55 0.06057 0.9394 0.8789
1.56 0.05938 0.9406 0.8812
1.57 0.05821 0.9418 0.8836
1.58 0.05705 0.9429 0.8859
1.59 0.05592 0.9441 0.8882
1.6 0.0548 0.9452 0.8904
1.61 0.0537 0.9463 0.8926
1.62 0.05262 0.9474 0.8948
1.63 0.05155 0.9484 0.8969
1.64 0.0505 0.9495 0.899
1.65 0.04947 0.9505 0.9011
1.66 0.04846 0.9515 0.9031
1.67 0.04746 0.9525 0.9051
1.68 0.04648 0.9535 0.907
1.69 0.04551 0.9545 0.909
1.7 0.04457 0.9554 0.9109
1.71 0.04363 0.9564 0.9127
1.72 0.04272 0.9573 0.9146
1.73 0.04182 0.9582 0.9164
1.74 0.04093 0.9591 0.9181
1.75 0.04006 0.9599 0.9199
1.76 0.0392 0.9608 0.9216
1.77 0.03836 0.9616 0.9233
1.78 0.03754 0.9625 0.9249
1.79 0.03673 0.9633 0.9265
1.8 0.03593 0.9641 0.9281
1.81 0.03515 0.9649 0.9297
1.82 0.03438 0.9656 0.9312
1.83 0.03362 0.9664 0.9328
1.84 0.03288 0.9671 0.9342
1.85 0.03216 0.9678 0.9357
1.86 0.03144 0.9686 0.9371
1.87 0.03074 0.9693 0.9385
1.88 0.03005 0.9699 0.9399
1.89 0.02938 0.9706 0.9412
1.9 0.02872 0.9713 0.9426
1.91 0.02807 0.9719 0.9439
1.92 0.02743 0.9726 0.9451
1.93 0.0268 0.9732 0.9464
1.94 0.02619 0.9738 0.9476
1.95 0.02559 0.9744 0.9488
1.96 0.025 0.975 0.95
1.97 0.02442 0.9756 0.9512
1.98 0.02385 0.9761 0.9523
1.99 0.0233 0.9767 0.9534
2 0.02275 0.9772 0.9545
2.01 0.02222 0.9778 0.9556
2.02 0.02169 0.9783 0.9566
2.03 0.02118 0.9788 0.9576
2.04 0.02068 0.9793 0.9586
2.05 0.02018 0.9798 0.9596
2.06 0.0197 0.9803 0.9606
2.07 0.01923 0.9808 0.9615
2.08 0.01876 0.9812 0.9625
2.09 0.01831 0.9817 0.9634
2.1 0.01786 0.9821 0.9643
2.11 0.01743 0.9826 0.9651
2.12 0.017 0.983 0.966
2.13 0.01659 0.9834 0.9668
2.14 0.01618 0.9838 0.9676
2.15 0.01578 0.9842 0.9684
2.16 0.01539 0.9846 0.9692
2.17 0.015 0.985 0.97
2.18 0.01463 0.9854 0.9707
2.19 0.01426 0.9857 0.9715
2.2 0.0139 0.9861 0.9722
2.21 0.01355 0.9864 0.9729
2.22 0.01321 0.9868 0.9736
2.23 0.01287 0.9871 0.9743
2.24 0.01255 0.9875 0.9749
2.25 0.01222 0.9878 0.9756
2.26 0.01191 0.9881 0.9762
2.27 0.0116 0.9884 0.9768
2.28 0.0113 0.9887 0.9774
2.29 0.01101 0.989 0.978
2.3 0.01072 0.9893 0.9786
2.31 0.01044 0.9896 0.9791
2.32 0.01017 0.9898 0.9797
2.33 0.009903 0.9901 0.9802
2.34 0.009642 0.9904 0.9807
2.35 0.009387 0.9906 0.9812
2.36 0.009137 0.9909 0.9817
2.37 0.008894 0.9911 0.9822
2.38 0.008656 0.9913 0.9827
2.39 0.008424 0.9916 0.9832
2.4 0.008198 0.9918 0.9836
2.41 0.007976 0.992 0.984
2.42 0.00776 0.9922 0.9845
2.43 0.007549 0.9925 0.9849
2.44 0.007344 0.9927 0.9853
2.45 0.007143 0.9929 0.9857
2.46 0.006947 0.9931 0.9861
2.47 0.006756 0.9932 0.9865
2.48 0.006569 0.9934 0.9869
2.49 0.006387 0.9936 0.9872
2.5 0.00621 0.9938 0.9876
2.51 0.006037 0.994 0.9879
2.52 0.005868 0.9941 0.9883
2.53 0.005703 0.9943 0.9886
2.54 0.005543 0.9945 0.9889
2.55 0.005386 0.9946 0.9892
2.56 0.005234 0.9948 0.9895
2.57 0.005085 0.9949 0.9898
2.58 0.00494 0.9951 0.9901
2.59 0.004799 0.9952 0.9904
2.6 0.004661 0.9953 0.9907
2.61 0.004527 0.9955 0.9909
2.62 0.004396 0.9956 0.9912
2.63 0.004269 0.9957 0.9915
2.64 0.004145 0.9959 0.9917
2.65 0.004025 0.996 0.992
2.66 0.003907 0.9961 0.9922
2.67 0.003793 0.9962 0.9924
2.68 0.003681 0.9963 0.9926
2.69 0.003573 0.9964 0.9929
2.7 0.003467 0.9965 0.9931
2.71 0.003364 0.9966 0.9933
2.72 0.003264 0.9967 0.9935
2.73 0.003167 0.9968 0.9937
2.74 0.003072 0.9969 0.9939
2.75 0.00298 0.997 0.994
2.76 0.00289 0.9971 0.9942
2.77 0.002803 0.9972 0.9944
2.78 0.002718 0.9973 0.9946
2.79 0.002635 0.9974 0.9947
2.8 0.002555 0.9974 0.9949
2.81 0.002477 0.9975 0.995
2.82 0.002401 0.9976 0.9952
2.83 0.002327 0.9977 0.9953
2.84 0.002256 0.9977 0.9955
2.85 0.002186 0.9978 0.9956
2.86 0.002118 0.9979 0.9958
2.87 0.002052 0.9979 0.9959
2.88 0.001988 0.998 0.996
2.89 0.001926 0.9981 0.9961
2.9 0.001866 0.9981 0.9963
2.91 0.001807 0.9982 0.9964
2.92 0.00175 0.9982 0.9965
2.93 0.001695 0.9983 0.9966
2.94 0.001641 0.9984 0.9967
2.95 0.001589 0.9984 0.9968
2.96 0.001538 0.9985 0.9969
2.97 0.001489 0.9985 0.997
2.98 0.001441 0.9986 0.9971
2.99 0.001395 0.9986 0.9972
3 0.00135 0.9987 0.9973

Citation

The E-Learning project SOGA-R was developed at the Department of Earth Sciences by Kai Hartmann, Joachim Krois and Annette Rudolph. You can reach us via mail by soga[at]zedat.fu-berlin.de.

Creative Commons License
You may use this project freely under the Creative Commons Attribution-ShareAlike 4.0 International License.

Please cite as follow: Hartmann, K., Krois, J., Rudolph, A. (2023): Statistics and Geodata Analysis using R (SOGA-R). Department of Earth Sciences, Freie Universitaet Berlin.