Areas of the Unit Normal (z) Distribution Página 1 de 10 Areas of the Unit Normal Distribution The following is a table of areas under the unit normal (z) distribution. The first column is the z-score. The second column lists the area under the curve from -infinity to z. The third column lists the area under the curve from z to infinity. The fourth column gives the area under the curve from 0 to z. The last column gives the height of the distribution at z. Remember that the unit normal distribution is symmetric. The area below a negative z-score is equivalent to the area above the same positive z-score. z Below z Above z Between mean and z Ordinate 0.00 0.5000 0.5000 0.0000 0.3989 0.01 0.5040 0.4960 0.0040 0.3989 0.02 0.5080 0.4920 0.0080 0.3989 0.03 0.5120 0.4880 0.0120 0.3988 0.04 0.5160 0.4840 0.0160 0.3986 0.05 0.5199 0.4801 0.0199 0.3984 0.06 0.5239 0.4761 0.0239 0.3982 0.07 0.5279 0.4721 0.0279 0.3980 0.08 0.5319 0.4681 0.0319 0.3977 0.09 0.5359 0.4641 0.0359 0.3973 z 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 Below z 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 Above z 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 Between mean and z 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 Ordinate 0.3970 0.3965 0.3961 0.3956 0.3951 0.3945 0.3939 0.3932 0.3925 0.3918 z 0.20 0.21 0.22 0.23 Below z 0.5793 0.5832 0.5871 0.5910 Above z 0.4207 0.4168 0.4129 0.4090 Between mean and z 0.0793 0.0832 0.0871 0.0910 Ordinate 0.3910 0.3902 0.3894 0.3885 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 2 de 10 0.24 0.25 0.26 0.27 0.28 0.29 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3876 0.3867 0.3857 0.3847 0.3836 0.3825 z 0.30 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 Below z 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 Above z 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 Between mean and z 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 Ordinate 0.3814 0.3802 0.3790 0.3778 0.3765 0.3752 0.3739 0.3725 0.3712 0.3697 z 0.40 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 Below z 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 Above z 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 Between mean and z 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 Ordinate 0.3683 0.3668 0.3653 0.3637 0.3621 0.3605 0.3589 0.3572 0.3555 0.3538 z 0.50 0.51 0.52 0.53 0.54 0.55 0.56 Below z 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 Above z 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 Between mean and z 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 Ordinate 0.3521 0.3503 0.3485 0.3467 0.3448 0.3429 0.3410 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 3 de 10 0.57 0.7157 0.2843 0.2157 0.58 0.7190 0.2810 0.2190 0.59 0.7224 0.2776 0.2224 0.3391 0.3372 0.3352 z 0.60 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 Below z 0.7257 0.7291 0.7324 0.7356 0.7389 0.7421 0.7454 0.7486 0.7517 0.7549 Above z 0.2743 0.2709 0.2676 0.2644 0.2611 0.2579 0.2546 0.2514 0.2483 0.2451 Between mean and z 0.2257 0.2291 0.2324 0.2356 0.2389 0.2421 0.2454 0.2486 0.2517 0.2549 Ordinate 0.3332 0.3312 0.3292 0.3271 0.3251 0.3230 0.3209 0.3187 0.3166 0.3144 z 0.70 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 Below z 0.7580 0.7611 0.7642 0.7673 0.7703 0.7734 0.7764 0.7793 0.7823 0.7852 Above z 0.2420 0.2389 0.2358 0.2327 0.2297 0.2266 0.2236 0.2207 0.2177 0.2148 Between mean and z 0.2580 0.2611 0.2642 0.2673 0.2703 0.2734 0.2764 0.2793 0.2823 0.2852 Ordinate 0.3123 0.3101 0.3079 0.3056 0.3034 0.3011 0.2989 0.2966 0.2943 0.2920 z 0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 Below z 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 Above z 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 Between mean and z 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 Ordinate 0.2897 0.2874 0.2850 0.2827 0.2803 0.2780 0.2756 0.2732 0.2709 0.2685 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 4 de 10 z 0.90 0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 Below z 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8364 0.8389 Above z 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1636 0.1611 Between mean and z 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3364 0.3389 Ordinate 0.2661 0.2637 0.2613 0.2589 0.2565 0.2541 0.2516 0.2492 0.2468 0.2444 z 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 Below z 0.8413 0.8437 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 Above z 0.1587 0.1563 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 Between mean and z 0.3413 0.3437 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 Ordinate 0.2420 0.2396 0.2371 0.2347 0.2323 0.2299 0.2275 0.2251 0.2227 0.2203 z 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 Below z 0.8643 0.8665 0.8686 0.8707 0.8728 0.8749 0.8770 0.8790 0.8810 0.8830 Above z 0.1357 0.1335 0.1314 0.1293 0.1272 0.1251 0.1230 0.1210 0.1190 0.1170 Between mean and z 0.3643 0.3665 0.3686 0.3707 0.3728 0.3749 0.3770 0.3790 0.3810 0.3830 Ordinate 0.2179 0.2155 0.2131 0.2107 0.2083 0.2059 0.2036 0.2012 0.1989 0.1965 z Below z Above z Between mean and z Ordinate 1.20 0.8849 0.1151 0.3849 0.1942 1.21 0.8868 0.1132 0.3868 0.1919 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 5 de 10 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 0.8887 0.8906 0.8925 0.8943 0.8961 0.8979 0.8997 0.9015 0.1113 0.1094 0.1075 0.1057 0.1039 0.1021 0.1003 0.0985 0.3887 0.3906 0.3925 0.3943 0.3961 0.3979 0.3997 0.4015 0.1895 0.1872 0.1849 0.1826 0.1804 0.1781 0.1758 0.1736 z 1.30 1.31 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 Below z 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9146 0.9162 0.9177 Above z 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0854 0.0838 0.0823 Between mean and z 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4146 0.4162 0.4177 Ordinate 0.1714 0.1691 0.1669 0.1647 0.1626 0.1604 0.1582 0.1561 0.1539 0.1518 z 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 Below z 0.9192 0.9207 0.9222 0.9236 0.9250 0.9264 0.9278 0.9292 0.9305 0.9319 Above z 0.0808 0.0793 0.0778 0.0764 0.0750 0.0736 0.0722 0.0708 0.0695 0.0681 Between mean and z 0.4192 0.4207 0.4222 0.4236 0.4250 0.4264 0.4278 0.4292 0.4305 0.4319 Ordinate 0.1497 0.1476 0.1456 0.1435 0.1415 0.1394 0.1374 0.1354 0.1334 0.1315 z 1.50 1.51 1.52 1.53 1.54 Below z 0.9332 0.9345 0.9357 0.9370 0.9382 Above z 0.0668 0.0655 0.0643 0.0630 0.0618 Between mean and z 0.4332 0.4345 0.4357 0.4370 0.4382 Ordinate 0.1295 0.1276 0.1257 0.1238 0.1219 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 6 de 10 1.55 1.56 1.57 1.58 1.59 0.9394 0.9406 0.9418 0.9429 0.9441 0.0606 0.0594 0.0582 0.0571 0.0559 0.4394 0.4406 0.4418 0.4429 0.4441 0.1200 0.1182 0.1163 0.1145 0.1127 z 1.60 1.61 1.62 1.63 1.64 1.65 1.66 1.67 1.68 1.69 Below z 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 Above z 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 Between mean and z 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 Ordinate 0.1109 0.1092 0.1074 0.1057 0.1040 0.1023 0.1006 0.0989 0.0973 0.0957 z 1.70 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 Below z 0.9554 0.9563 0.9573 0.9582 0.9590 0.9599 0.9608 0.9616 0.9624 0.9632 Above z 0.0446 0.0437 0.0427 0.0418 0.0410 0.0401 0.0392 0.0384 0.0376 0.0368 Between mean and z 0.4554 0.4563 0.4573 0.4582 0.4590 0.4599 0.4608 0.4616 0.4624 0.4632 Ordinate 0.0940 0.0925 0.0909 0.0893 0.0878 0.0863 0.0848 0.0833 0.0818 0.0804 z 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1.87 Below z 0.9640 0.9648 0.9656 0.9663 0.9671 0.9678 0.9685 0.9692 Above z 0.0360 0.0352 0.0344 0.0337 0.0329 0.0322 0.0315 0.0308 Between mean and z 0.4640 0.4648 0.4656 0.4663 0.4671 0.4678 0.4685 0.4692 Ordinate 0.0790 0.0775 0.0761 0.0748 0.0734 0.0721 0.0707 0.0694 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 7 de 10 1.88 0.9699 0.0301 0.4699 1.89 0.9706 0.0294 0.4706 0.0681 0.0669 z 1.90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 Below z 0.9713 0.9719 0.9725 0.9732 0.9738 0.9744 0.9750 0.9755 0.9761 0.9767 Above z 0.0287 0.0281 0.0275 0.0268 0.0262 0.0256 0.0250 0.0245 0.0239 0.0233 Between mean and z 0.4713 0.4719 0.4725 0.4732 0.4738 0.4744 0.4750 0.4755 0.4761 0.4767 Ordinate 0.0656 0.0644 0.0632 0.0620 0.0608 0.0596 0.0584 0.0573 0.0562 0.0551 z 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 Below z 0.9772 0.9777 0.9783 0.9788 0.9793 0.9798 0.9803 0.9807 0.9812 0.9817 Above z 0.0228 0.0223 0.0217 0.0212 0.0207 0.0202 0.0197 0.0193 0.0188 0.0183 Between mean and z 0.4772 0.4777 0.4783 0.4788 0.4793 0.4798 0.4803 0.4807 0.4812 0.4817 Ordinate 0.0540 0.0529 0.0519 0.0508 0.0498 0.0488 0.0478 0.0468 0.0459 0.0449 z 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 Below z 0.9821 0.9825 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9853 0.9857 Above z 0.0179 0.0175 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0147 0.0143 Between mean and z 0.4821 0.4825 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4853 0.4857 Ordinate 0.0440 0.0431 0.0422 0.0413 0.0404 0.0396 0.0387 0.0379 0.0371 0.0363 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 8 de 10 z 2.20 2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29 Below z 0.9861 0.9864 0.9868 0.9871 0.9874 0.9877 0.9881 0.9884 0.9887 0.9890 Above z 0.0139 0.0136 0.0132 0.0129 0.0126 0.0123 0.0119 0.0116 0.0113 0.0110 Between mean and z 0.4861 0.4864 0.4868 0.4871 0.4874 0.4877 0.4881 0.4884 0.4887 0.4890 Ordinate 0.0355 0.0347 0.0339 0.0332 0.0325 0.0317 0.0310 0.0303 0.0297 0.0290 z 2.30 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 Below z 0.9892 0.9895 0.9898 0.9901 0.9903 0.9906 0.9908 0.9911 0.9913 0.9915 Above z 0.0108 0.0105 0.0102 0.0099 0.0097 0.0094 0.0092 0.0089 0.0087 0.0085 Between mean and z 0.4892 0.4895 0.4898 0.4901 0.4903 0.4906 0.4908 0.4911 0.4913 0.4915 Ordinate 0.0283 0.0277 0.0270 0.0264 0.0258 0.0252 0.0246 0.0241 0.0235 0.0229 z 2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 Below z 0.9918 0.9920 0.9922 0.9924 0.9926 0.9928 0.9930 0.9932 0.9934 0.9936 Above z 0.0082 0.0080 0.0078 0.0076 0.0074 0.0072 0.0070 0.0068 0.0066 0.0064 Between mean and z 0.4918 0.4920 0.4922 0.4924 0.4926 0.4928 0.4930 0.4932 0.4934 0.4936 Ordinate 0.0224 0.0219 0.0213 0.0208 0.0203 0.0198 0.0194 0.0189 0.0184 0.0180 z Below z Above z Between mean and z Ordinate 2.50 0.9938 0.0062 0.4938 0.0175 2.51 0.9939 0.0061 0.4939 0.0171 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 9 de 10 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2.59 0.9941 0.9943 0.9944 0.9946 0.9947 0.9949 0.9950 0.9952 0.0059 0.0057 0.0056 0.0054 0.0053 0.0051 0.0050 0.0048 0.4941 0.4943 0.4944 0.4946 0.4947 0.4949 0.4950 0.4952 0.0167 0.0163 0.0158 0.0154 0.0151 0.0147 0.0143 0.0139 z 2.60 2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 Below z 0.9953 0.9954 0.9956 0.9957 0.9958 0.9959 0.9961 0.9962 0.9963 0.9964 Above z 0.0047 0.0046 0.0044 0.0043 0.0042 0.0041 0.0039 0.0038 0.0037 0.0036 Between mean and z 0.4953 0.4954 0.4956 0.4957 0.4958 0.4959 0.4961 0.4962 0.4963 0.4964 Ordinate 0.0136 0.0132 0.0129 0.0126 0.0122 0.0119 0.0116 0.0113 0.0110 0.0107 z 2.70 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 Below z 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9972 0.9973 Above z 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0028 0.0027 Between mean and z 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4972 0.4973 Ordinate 0.0104 0.0101 0.0099 0.0096 0.0093 0.0091 0.0088 0.0086 0.0084 0.0081 z 2.80 2.81 2.82 2.83 2.84 Below z 0.9974 0.9975 0.9976 0.9976 0.9977 Above z 0.0026 0.0025 0.0024 0.0024 0.0023 Between mean and z 0.4974 0.4975 0.4976 0.4976 0.4977 Ordinate 0.0079 0.0077 0.0075 0.0073 0.0071 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015 Areas of the Unit Normal (z) Distribution Página 10 de 10 2.85 2.86 2.87 2.88 2.89 0.9978 0.9978 0.9979 0.9980 0.9980 0.0022 0.0022 0.0021 0.0020 0.0020 0.4978 0.4978 0.4979 0.4980 0.4980 0.0069 0.0067 0.0065 0.0063 0.0061 z 2.90 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 Below z 0.9981 0.9982 0.9982 0.9983 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 Above z 0.0019 0.0018 0.0018 0.0017 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 Between mean and z 0.4981 0.4982 0.4982 0.4983 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 Ordinate 0.0060 0.0058 0.0056 0.0055 0.0053 0.0051 0.0050 0.0048 0.0047 0.0046 http://academic.udayton.edu/gregelvers/psy216/tables/area.htm 11/08/2015