Z-Table PDF

# Table A.2 The Normal Distribution ## Column A The positive *z* score. ## Column B The area between the mean and *z*. ## Column C The area that is beyond *z*. ## How to Use Table A.2 - The values in this table represent the proportion of areas in the standard normal curve. - The standard...

# Table A.2 The Normal Distribution ## Column A The positive *z* score. ## Column B The area between the mean and *z*. ## Column C The area that is beyond *z*. ## How to Use Table A.2 - The values in this table represent the proportion of areas in the standard normal curve. - The standard normal curve has a mean of 0, a standard deviation of 1.00, and a total area equal to 1.00. - Raw scores must first be transformed into a *z* score. - Column A represents this *z* score. - Column B represents the distance between the mean of the standard normal distribution (0) and the *z* score. - Column C represents the proportion of the area beyond a given *z*. | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | |:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:| | 0.00 | .0000 | .5000 | 0.45 | .1736 | .3264 | 0.90 | .3159 | .1841 | | 0.01 | .0040 | .4960 | 0.46 | .1772 | .3228 | 0.91 | .3186 | .1814 | | 0.02 | .0080 | .4920 | 0.47 | .1808 | .3192 | 0.92 | .3212 | .1788 | | 0.03 | .0120 | .4880 | 0.48 | .1844 | .3156 | 0.93 | .3238 | .1762 | | 0.04 | .0160 | .4840 | 0.49 | .1879 | .3121 | 0.94 | .3264 | .1736 | | 0.05 | .0199 | .4801 | 0.50 | .1915 | .3085 | 0.95 | .3289 | .1711 | | 0.06 | .0239 | .4761 | 0.51 | .1950 | .3050 | 0.96 | .3315 | .1685 | | 0.07 | .0279 | .4721 | 0.52 | .1985 | .3015 | 0.97 | .3340 | .1660 | | 0.08 | .0319 | .4681 | 0.53 | .2019 | .2981 | 0.98 | .3365 | .1635 | | 0.09 | .0359 | .4641 | 0.54 | .2054 | .2946 | 0.99 | .3389 | .1611 | | 0.10 | .0398 | .4602 | 0.55 | .2088 | .2912 | 1.00 | .3413 | .1587 | | 0.11 | .0438 | .4562 | 0.56 | .2123 | .2877 | 1.01 | .3438 | .1562 | | 0.12 | .0478 | .4522 | 0.57 | .2157 | .2843 | 1.02 | .3461 | .1539 | | 0.13 | .0517 | .4483 | 0.58 | .2190 | .2810 | 1.03 | .3485 | .1515 | | 0.14 | .0557 | .4443 | 0.59 | .2224 | .2776 | 1.04 | .3508 | .1492 | | 0.15 | .0596 | .4404 | 0.60 | .2257 | .2743 | 1.05 | .3531 | .1469 | | 0.16 | .0636 | .4364 | 0.61 | .2291 | .2709 | 1.06 | .3554 | .1446 | | 0.17 | .0675 | .4325 | 0.62 | .2324 | .2676 | 1.07 | .3577 | .1423 | | 0.18 | .0714 | .4286 | 0.63 | .2357 | .2643 | 1.08 | .3599 | .1401 | | 0.19 | .0753 | .4247 | 0.64 | .2389 | .2611 | 1.09 | .3621 | .1379 | | 0.20 | .0793 | .4207 | 0.65 | .2422 | .2578 | 1.10 | .3643 | .1357 | | 0.21 | .0832 | .4168 | 0.66 | .2454 | .2546 | 1.11 | .3665 | .1335 | | 0.22 | .0871 | .4129 | 0.67 | .2486 | .2514 | 1.12 | .3686 | .1314 | | 0.23 | .0910 | .4090 | 0.68 | .2517 | .2483 | 1.13 | .3708 | .1292 | | 0.24 | .0948 | .4052 | 0.69 | .2549 | .2451 | 1.14 | .3729 | .1271 | | 0.25 | .0987 | .4013 | 0.70 | .2580 | .2420 | 1.15 | .3749 | .1251 | | 0.26 | .1026 | .3974 | 0.71 | .2611 | .2389 | 1.16 | .3770 | .1230 | | 0.27 | .1064 | .3936 | 0.72 | .2642 | .2358 | 1.17 | .3790 | .1210 | | 0.28 | .1103 | .3897 | 0.73 | .2673 | .2327 | 1.18 | .3810 | .1190 | | 0.29 | .1141 | .3859 | 0.74 | .2704 | .2296 | 1.19 | .3830 | .1170 | | 0.30 | .1179 | .3821 | 0.75 | .2734 | .2266 | 1.20 | .3849 | .1151 | | 0.31 | .1217 | .3783 | 0.76 | .2764 | .2236 | 1.21 | .3869 | .1131 | | 0.32 | .1255 | .3745 | 0.77 | .2794 | .2206 | 1.22 | .3888 | .1112 | | 0.33 | .1293 | .3707 | 0.78 | .2823 | .2177 | 1.23 | .3907 | .1093 | | 0.34 | .1331 | .3669 | 0.79 | .2852 | .2148 | 1.24 | .3925 | .1075 | | 0.35 | .1368 | .3632 | 0.80 | .2881 | .2119 | 1.25 | .3944 | .1056 | | 0.36 | .1406 | .3594 | 0.81 | .2910 | .2090 | 1.26 | .3962 | .1038 | | 0.37 | .1443 | .3557 | 0.82 | .2939 | .2061 | 1.27 | .3980 | .1020 | | 0.38 | .1480 | .3520 | 0.83 | .2967 | .2033 | 1.28 | .3997 | .1003 | | 0.39 | .1517 | .3483 | 0.84 | .2995 | .2005 | 1.29 | .4015 | .0985 | | 0.40 | .1554 | .3446 | 0.85 | .3023 | .1977 | 1.30 | .4032 | .0968 | | 0.41 | .1591 | .3409 | 0.86 | .3051 | .1949 | 1.31 | .4049 | .0951 | | 0.42 | .1628 | .3372 | 0.87 | .3078 | .1922 | 1.32 | .4066 | .0934 | | 0.43 | .1664 | .3336 | 0.88 | .3106 | .1894 | 1.33 | .4082 | .0918 | | 0.44 | .1700 | .3300 | 0.89 | .3133 | .1867 | 1.34 | .4099 | .0901 | (continued) | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | |:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:| | 1.35 | .4115 | .0885 | 1.80 | .4641 | .0359 | 2.25 | .4878 | .0122 | | 1.36 | .4131 | .0869 | 1.81 | .4649 | .0351 | 2.26 | .4884 | .0119 | | 1.37 | .4147 | .0853 | 1.82 | .4656 | .0344 | 2.27 | .4888 | .0116 | | 1.38 | .4162 | .0838 | 1.83 | .4664 | .0336 | 2.28 | .4893 | .0113 | | 1.39 | .4177 | .0823 | 1.84 | .4671 | .0329 | 2.29 | .4897 | .0110 | | 1.40 | .4192 | .0808 | 1.85 | .4678 | .0322 | 2.30 | .4901 | .0107 | | 1.41 | .4207 | .0793 | 1.86 | .4686 | .0314 | 2.31 | .4905 | .0104 | | 1.42 | .4222 | .0778 | 1.87 | .4693 | .0307 | 2.32 | .4908 | .0102 | | 1.43 | .4236 | .0764 | 1.88 | .4699 | .0301 | 2.33 | .4911 | .0099 | | 1.44 | .4251 | .0749 | 1.89 | .4706 | .0294 | 2.34 | .4914 | .0096 | | 1.45 | .4265 | .0735 | 1.90 | .4713 | .0287 | 2.35 | .4916 | .0094 | | 1.46 | .4279 | .0721 | 1.91 | .4719 | .0281 | 2.36 | .4919 | .0091 | | 1.47 | .4292 | .0708 | 1.92 | .4726 | .0274 | 2.37 | .4921 | .0089 | | 1.48 | .4306 | .0694 | 1.93 | .4732 | .0268 | 2.38 | .4924 | .0087 | | 1.49 | .4319 | .0681 | 1.94 | .4738 | .0262 | 2.39 | .4926 | .0084 | | 1.50 | .4332 | .0668 | 1.95 | .4744 | .0256 | 2.40 | .4928 | .0082 | | 1.51 | .4345 | .0655 | 1.96 | .4750 | .0250 | 2.41 | .4930 | .0080 | | 1.52 | .4357 | .0643 | 1.97 | .4756 | .0244 | 2.42 | .4932 | .0078 | | 1.53 | .4370 | .0630 | 1.98 | .4761 | .0239 | 2.43 | .4934 | .0075 | | 1.54 | .4382 | .0618 | 1.99 | .4767 | .0233 | 2.44 | .4937 | .0073 | | 1.55 | .4394 | .0606 | 2.00 | .4772 | .0228 | 2.45 | .4939 | .0071 | | 1.56 | .4406 | .0594 | 2.01 | .4778 | .0222 | 2.46 | .4942 | .0069 | | 1.57 | .4418 | .0582 | 2.02 | .4783 | .0217 | 2.47 | .4943 | .0068 | | 1.58 | .4429 | .0571 | 2.03 | .4788 | .0212 | 2.48 | .4946 | .0066 | | 1.59 | .4441 | .0559 | 2.04 | .4793 | .0207 | 2.49 | .4948 | .0064 | | 1.60 | .4452 | .0548 | 2.05 | .4798 | .0202 | 2.50 | .4951 | .0062 | | 1.61 | .4463 | .0537 | 2.06 | .4803 | .0197 | 2.51 | .4952 | .0060 | | 1.62 | .4474 | .0526 | 2.07 | .4808 | .0192 | 2.52 | .4954 | .0059 | | 1.63 | .4484 | .0516 | 2.08 | .4812 | .0188 | 2.53 | .4955 | .0057 | | 1.64 | .4495 | .0505 | 2.09 | .4817 | .0183 | 2.54 | .4957 | .0055 | | 1.65 | .4505 | .0495 | 2.10 | .4821 | .0179 | 2.55 | .4959 | .0054 | | 1.66 | .4515 | .0485 | 2.11 | .4826 | .0174 | 2.56 | .4961 | .0052 | | 1.67 | .4525 | .0475 | 2.12 | .4830 | .0170 | 2.57 | .4962 | .0051 | | 1.68 | .4535 | .0465 | 2.13 | .4834 | .0166 | 2.58 | .4964 | .0049 | | 1.69 | .4545 | .0455 | 2.14 | .4838 | .0162 | 2.59 | .4965 | .0048 | | 1.70 | .4554 | .0446 | 2.15 | .4842 | .0158 | 2.60 | .4966 | .0047 | | 1.71 | .4564 | .0436 | 2.16 | .4846 | .0154 | 2.61 | .4967 | .0045 | | 1.72 | .4573 | .0427 | 2.17 | .4850 | .0150 | 2.62 | .4968 | .0044 | | 1.73 | .4582 | .0418 | 2.18 | .4854 | .0146 | 2.63 | .4969 | .0043 | | 1.74 | .4591 | .0409 | 2.19 | .4857 | .0143 | 2.64 | .4970 | .0041 | | 1.75 | .4599 | .0401 | 2.20 | .4861 | .0139 | 2.65 | .4971 | .0040 | | 1.76 | .4608 | .0392 | 2.21 | .4864 | .0136 | 2.66 | .4972 | .0039 | | 1.77 | .4616 | .0384 | 2.22 | .4868 | .0132 | 2.67 | .4973 | .0038 | | 1.78 | .4625 | .0375 | 2.23 | .4871 | .0129 | 2.68 | .4974 | .0037 | | 1.79 | .4633 | .0367 | 2.24 | .4875 | .0125 | 2.69 | .4974 | .0036 | (continued) | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | (A) | (B) Area Between Mean and Z | (C) Area Beyond Z | |:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:|:-----:|:-----------------------------:|:--------------------:| | 2.70 | .4965 | .0035 | 2.95 | .4984 | .0016 | 3.20 | .4993 | .0007 | | 2.71 | .4966 | .0034 | 2.96 | .4985 | .0015 | 3.21 | .4993 | .0007 | | 2.72 | .4967 | .0033 | 2.97 | .4985 | .0015 | 3.22 | .4994 | .0006 | | 2.73 | .4968 | .0032 | 2.98 | .4986 | .0014 | 3.23 | .4994 | .0006 | | 2.74 | .4969 | .0031 | 2.99 | .4986 | .0014 | 3.24 | .4994 | .0006 | | 2.75 | .4970 | .0030 | 3.00 | .4987 | .0013 | 3.25 | .4994 | .0006 | | 2.76 | .4971 | .0029 | 3.01 | .4987 | .0013 | 3.30 | .4995 | .0005 | | 2.77 | .4972 | .0028 | 3.02 | .4987 | .0013 | 3.35 | .4996 | .0004 | | 2.78 | .4973 | .0027 | 3.03 | .4988 | .0012 | 3.40 | .4997 | .0003 | | 2.79 | .4974 | .0026 | 3.04 | .4988 | .0012 | 3.45 | .4997 | .0003 | | 2.80 | .4974 | .0026 | 3.05 | .4989 | .0011 | 3.50 | .4998 | .0002 | | 2.81 | .4975 | .0025 | 3.06 | .4989 | .0011 | 3.60 | .4998 | .0002 | | 2.82 | .4976 | .0024 | 3.07 | .4989 | .0011 | 3.70 | .4999 | .0001 | | 2.83 | .4977 | .0023 | 3.08 | .4990 | .0010 | 3.80 | .4999 | .0001 | | 2.84 | .4977 | .0023 | 3.09 | .4990 | .0010 | 3.90 | .49995 | .00005 | | 2.85 | .4978 | .0022 | 3.10 | .4990 | .0010 | 4.00 | .49997 | .00003 | | 2.86 | .4979 | .0021 | 3.11 | .4991 | .0009 | | 2.87 | .4979 | .0021 | 3.12 | .4991 | .0009 | | 2.88 | .4980 | .0020 | 3.13 | .4991 | .0009 | | 2.89 | .4981 | .0019 | 3.14 | .4992 | .0008 | | 2.90 | .4981 | .0019 | 3.15 | .4992 | .0008 | | 2.91 | .4982 | .0018 | 3.16 | .4992 | .0008 | | 2.92 | .4982 | .0018 | 3.17 | .4992 | .0008 | | 2.93 | .4983 | .0017 | 3.18 | .4993 | .0007 | |