Appendix A: 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) |
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 |