Standard normal Distribution table (Z- Table)
|
(A) z |
(B) Area Between Mean and Z |
(C) Area Beyond Z |
|
|
0.00 |
.0000 |
.5000 |
|
|
0.01 |
.0040 |
.4960 |
|
|
0.02 |
.0080 |
.4920 |
|
|
0.03 |
.0120 |
.4880 |
|
|
0.04 |
.0160 |
.4840 |
|
|
0.05 |
.0199 |
.4801 |
|
|
0.06 |
.0239 |
.4761 |
|
|
0.07 |
.0279 |
.4721 |
|
|
0.08 |
.0319 |
.4681 |
|
|
0.09 |
.0359 |
.4641 |
|
|
0.10 |
.0398 |
.4602 |
|
|
0.11 |
.0438 |
.4562 |
|
|
0.12 |
.0478 |
.4522 |
|
|
0.13 |
.0517 |
.4483 |
|
|
0.14 |
.0557 |
.4443 |
|
|
0.15 |
.0596 |
.4404 |
|
|
0.16 |
.0636 |
.4364 |
|
|
0.17 |
.0675 |
.4325 |
|
|
0.18 |
.0714 |
.4286 |
|
|
0.19 |
.0753 |
.4247 |
|
|
0.20 |
.0793 |
.4207 |
|
|
0.21 |
.0832 |
.4168 |
|
|
0.22 |
.0871 |
.4129 |
|
|
0.23 |
.0910 |
.4090 |
|
|
0.24 |
.0948 |
.4052 |
|
|
0.25 |
.0987 |
.4013 |
|
|
0.26 |
.1026 |
.3974 |
|
|
0.27 |
.1064 |
.3936 |
|
|
0.28 |
.1103 |
.3897 |
|
|
0.29 |
.1141 |
.3859 |
|
|
0.30 |
.1179 |
.3821 |
|
|
0.31 |
.1217 |
.3783 |
|
|
0.32 |
.1255 |
.3745 |
|
|
0.33 |
.1293 |
.3707 |
|
|
0.34 |
.1331 |
.3669 |
|
|
0.35 |
.1368 |
.3632 |
|
|
0.36 |
.1406 |
.3594 |
|
|
0.37 |
.1443 |
.3557 |
|
|
0.38 |
.1480 |
.3520 |
|
|
0.39 |
.1517 |
.3483 |
|
|
0.40 |
.1554 |
.3446 |
|
|
0.41 |
.1591 |
.3409 |
|
|
0.42 |
.1628 |
.3372 |
|
|
0.43 |
.1664 |
.3336 |
|
|
0.44 |
.1700 |
.3300 |
|
|
0.45 |
.1736 |
.3264 |
|
|
0.46 |
.1772 |
.3228 |
|
|
0.47 |
.1808 |
.3192 |
|
|
0.48 |
.1844 |
.3156 |
|
|
0.49 |
.1879 |
.3121 |
|
|
0.50 |
.1915 |
.3085 |
|
|
0.51 |
.1950 |
.3050 |
|
|
0.52 |
.1985 |
.3015 |
|
|
0.53 |
.2019 |
.2981 |
|
|
0.54 |
.2054 |
.2946 |
|
|
0.55 |
.2088 |
.2912 |
|
|
0.56 |
.2123 |
.2877 |
|
|
0.57 |
.2157 |
.2843 |
|
|
0.58 |
.2190 |
.2810 |
|
|
0.59 |
.2224 |
.2776 |
|
|
0.60 |
.2257 |
.2743 |
|
|
0.61 |
.2291 |
.2709 |
|
|
0.62 |
.2324 |
.2676 |
|
|
0.63 |
.2357 |
.2643 |
|
|
0.64 |
.2389 |
.2611 |
|
|
0.65 |
.2422 |
.2578 |
|
|
0.66 |
.2454 |
.2546 |
|
|
0.67 |
.2486 |
.2514 |
|
|
0.68 |
.2517 |
.2483 |
|
|
0.69 |
.2549 |
.2451 |
|
|
0.70 |
.2580 |
.2420 |
|
|
0.71 |
.2611 |
.2389 |
|
|
0.72 |
.2642 |
.2358 |
|
|
0.73 |
.2673 |
.2327 |
|
|
0.74 |
.2704 |
.2296 |
|
|
0.75 |
.2734 |
.2266 |
|
|
0.76 |
.2764 |
.2236 |
|
|
0.77 |
.2794 |
.2206 |
|
|
0.78 |
.2823 |
.2177 |
|
|
0.79 |
.2852 |
.2148 |
|
|
0.80 |
.2881 |
.2119 |
|
|
0.81 |
.2910 |
.2090 |
|
|
0.82 |
.2939 |
.2061 |
|
|
0.83 |
.2967 |
.2033 |
|
|
0.84 |
.2995 |
.2005 |
|
|
0.85 |
.3023 |
.1977 |
|
|
0.86 |
.3051 |
.1949 |
|
|
0.87 |
.3078 |
.1922 |
|
|
0.88 |
.3106 |
.1894 |
|
|
0.89 |
.3133 |
.1867 |
|
|
0.90 |
.3159 |
.1841 |
|
|
0.91 |
.3186 |
.1814 |
|
|
0.92 |
.3212 |
.1788 |
|
|
0.93 |
.3238 |
.1762 |
|
|
0.94 |
.3264 |
.1736 |
|
|
0.95 |
.3289 |
.1711 |
|
|
0.96 |
.3315 |
.1685 |
|
|
0.97 |
.3340 |
.1660 |
|
|
0.98 |
.3365 |
.1635 |
|
|
0.99 |
.3389 |
.1611 |
|
|
1.00 |
.3413 |
.1587 |
|
|
1.01 |
.3438 |
.1562 |
|
|
1.02 |
.3461 |
.1539 |
|
|
1.03 |
.3485 |
.1515 |
|
|
1.04 |
.3508 |
.1492 |
|
|
1.05 |
.3531 |
.1469 |
|
|
1.06 |
.3554 |
.1446 |
|
|
1.07 |
.3577 |
.1423 |
|
|
1.08 |
.3599 |
.1401 |
|
|
1.09 |
.3621 |
.1379 |
|
|
1.10 |
.3643 |
.1357 |
|
|
1.11 |
.3665 |
.1335 |
|
|
1.12 |
.3686 |
.1314 |
|
|
1.13 |
.3708 |
.1292 |
|
|
1.14 |
.3729 |
.1271 |
|
|
1.15 |
.3749 |
.1251 |
|
|
1.16 |
.3770 |
.1230 |
|
|
1.17 |
.3790 |
.1210 |
|
|
1.18 |
.3810 |
.1190 |
|
|
1.19 |
.3830 |
.1170 |
|
|
1.20 |
.3849 |
.1151 |
|
|
1.21 |
.3869 |
.1131 |
|
|
1.22 |
.3888 |
.1112 |
|
|
1.23 |
.3907 |
.1093 |
|
|
1.24 |
.3925 |
.1075 |
|
|
1.25 |
.3944 |
.1056 |
|
|
1.26 |
.3962 |
.1038 |
|
|
1.27 |
.3980 |
.1020 |
|
|
1.28 |
.3997 |
.1003 |
|
|
1.29 |
.4015 |
.0985 |
|
|
1.30 |
.4032 |
.0968 |
|
|
1.31 |
.4049 |
.0951 |
|
|
1.32 |
.4066 |
.0934 |
|
|
1.33 |
.4082 |
.0918 |
|
|
1.34 |
.4099 |
.0901 |
|
|
1.35 |
.4115 |
.0885 |
|
|
1.36 |
.4131 |
.0869 |
|
|
1.37 |
.4147 |
.0853 |
|
|
1.38 |
.4162 |
.0838 |
|
|
1.39 |
.4177 |
.0823 |
|
|
1.40 |
.4192 |
.0808 |
|
|
1.41 |
.4207 |
.0793 |
|
|
1.42 |
.4222 |
.0778 |
|
|
1.43 |
.4236 |
.0764 |
|
|
1.44 |
.4251 |
.0749 |
|
|
1.45 |
.4265 |
.0735 |
|
|
1.46 |
.4279 |
.0721 |
|
|
1.47 |
.4292 |
.0708 |
|
|
1.48 |
.4306 |
.0694 |
|
|
1.49 |
.4319 |
.0681 |
|
|
1.50 |
.4332 |
.0668 |
|
|
1.51 |
.4345 |
.0655 |
|
|
1.52 |
.4357 |
.0643 |
|
|
1.53 |
.4370 |
.0630 |
|
|
1.54 |
.4382 |
.0618 |
|
|
1.55 |
.4394 |
.0606 |
|
|
1.56 |
.4406 |
.0594 |
|
|
1.57 |
.4418 |
.0582 |
|
|
1.58 |
.4429 |
.0571 |
|
|
1.59 |
.4441 |
.0559 |
|
|
1.60 |
.4452 |
.0548 |
|
|
1.61 |
.4463 |
.0537 |
|
|
1.62 |
.4474 |
.0526 |
|
|
1.63 |
.4484 |
.0516 |
|
|
1.64 |
.4495 |
.0505 |
|
|
1.65 |
.4505 |
.0495 |
|
|
1.66 |
.4515 |
.0485 |
|
|
1.67 |
.4525 |
.0475 |
|
|
1.68 |
.4535 |
.0465 |
|
|
1.69 |
.4545 |
.0455 |
|
|
1.70 |
.4554 |
.0446 |
|
|
1.71 |
.4564 |
.0436 |
|
|
1.72 |
.4573 |
.0427 |
|
|
1.73 |
.4582 |
.0418 |
|
|
1.74 |
.4591 |
.0409 |
|
|
1.75 |
.4599 |
.0401 |
|
|
1.76 |
.4608 |
.0392 |
|
|
1.77 |
.4616 |
.0384 |
|
|
1.78 |
.4625 |
.0375 |
|
|
1.79 |
.4633 |
.0367 |
|
|
1.80 |
.4641 |
.0359 |
|
|
1.81 |
.4649 |
.0351 |
|
|
1.82 |
.4656 |
.0344 |
|
|
1.83 |
.4664 |
.0336 |
|
|
1.84 |
.4671 |
.0329 |
|
|
1.85 |
.4678 |
.0322 |
|
|
1.86 |
.4686 |
.0314 |
|
|
1.87 |
.4693 |
.0307 |
|
|
1.88 |
.4699 |
.0301 |
|
|
1.89 |
.4706 |
.0294 |
|
|
1.90 |
.4713 |
.0287 |
|
|
1.91 |
.4719 |
.0281 |
|
|
1.92 |
.4726 |
.0274 |
|
|
1.93 |
.4732 |
.0268 |
|
|
1.94 |
.4738 |
.0262 |
|
|
1.95 |
.4744 |
.0256 |
|
|
1.96 |
.4750 |
.0250 |
|
|
1.97 |
.4756 |
.0244 |
|
|
1.98 |
.4761 |
.0239 |
|
|
1.99 |
.4767 |
.0233 |
|
|
2.00 |
.4772 |
.0228 |
|
|
2.01 |
.4778 |
.0222 |
|
|
2.02 |
.4783 |
.0217 |
|
|
2.03 |
.4788 |
.0212 |
|
|
2.04 |
.4793 |
.0207 |
|
|
2.05 |
.4798 |
.0202 |
|
|
2.06 |
.4803 |
.0197 |
|
|
2.07 |
.4808 |
.0192 |
|
|
2.08 |
.4812 |
.0188 |
|
|
2.09 |
.4817 |
.0183 |
|
|
2.10 |
.4821 |
.0179 |
|
|
2.11 |
.4826 |
.0174 |
|
|
2.12 |
.4830 |
.0170 |
|
|
2.13 |
.4834 |
.0166 |
|
|
2.14 |
.4838 |
.0162 |
|
|
2.15 |
.4842 |
.0158 |
|
|
2.16 |
.4846 |
.0154 |
|
|
2.17 |
.4850 |
.0150 |
|
|
2.18 |
.4854 |
.0146 |
|
|
2.19 |
.4857 |
.0143 |
|
|
2.20 |
.4861 |
.0139 |
|
|
2.21 |
.4864 |
.0136 |
|
|
2.22 |
.4868 |
.0132 |
|
|
2.23 |
.4871 |
.0129 |
|
|
2.24 |
.4875 |
.0125 |
|
|
2.25 |
.4878 |
.0122 |
|
|
2.26 |
.4881 |
.0119 |
|
|
2.27 |
.4884 |
.0116 |
|
|
2.28 |
.4887 |
.0113 |
|
|
2.29 |
.4890 |
.0110 |
|
|
2.30 |
.4893 |
.0107 |
|
|
2.31 |
.4896 |
.0104 |
|
|
2.32 |
.4898 |
.0102 |
|
|
2.33 |
.4901 |
.0099 |
|
|
2.34 |
.4904 |
.0096 |
|
|
2.35 |
.4906 |
.0094 |
|
|
2.36 |
.4909 |
.0091 |
|
|
2.37 |
.4911 |
.0089 |
|
|
2.38 |
.4913 |
.0087 |
|
|
2.39 |
.4916 |
.0084 |
|
|
2.40 |
.4918 |
.0082 |
|
|
2.41 |
.4920 |
.0080 |
|
|
2.42 |
.4922 |
.0078 |
|
|
2.43 |
.4925 |
.0075 |
|
|
2.44 |
.4927 |
.0073 |
|
|
2.45 |
.4929 |
.0071 |
|
|
2.46 |
.4931 |
.0069 |
|
|
2.47 |
.4932 |
.0068 |
|
|
2.48 |
.4934 |
.0066 |
|
|
2.49 |
.4936 |
.0064 |
|
|
2.50 |
.4938 |
.0062 |
|
|
2.51 |
.4940 |
.0060 |
|
|
2.52 |
.4941 |
.0059 |
|
|
2.53 |
.4943 |
.0057 |
|
|
2.54 |
.4945 |
.0055 |
|
|
2.55 |
.4946 |
.0054 |
|
|
2.56 |
.4948 |
.0052 |
|
|
2.57 |
.4949 |
.0051 |
|
|
2.58 |
.4951 |
.0049 |
|
|
2.59 |
.4952 |
.0048 |
|
|
2.60 |
.4953 |
.0047 |
|
|
2.61 |
.4955 |
.0045 |
|
|
2.62 |
.4956 |
.0044 |
|
|
2.63 |
.4957 |
.0043 |
|
|
2.64 |
.4959 |
.0041 |
|
|
2.65 |
.4960 |
.0040 |
|
|
2.66 |
.4961 |
.0039 |
|
|
2.67 |
.4962 |
.0038 |
|
|
2.68 |
.4963 |
.0037 |
|
|
2.69 |
.4964 |
.0036 |
|
|
2.70 |
.4965 |
.0035 |
|
|
2.71 |
.4966 |
.0034 |
|
|
2.72 |
.4967 |
.0033 |
|
|
2.73 |
.4968 |
.0032 |
|
|
2.74 |
.4969 |
.0031 |
|
|
2.75 |
.4970 |
.0030 |
|
|
2.76 |
.4971 |
.0029 |
|
|
2.77 |
.4972 |
.0028 |
|
|
2.78 |
.4973 |
.0027 |
|
|
2.79 |
.4974 |
.0026 |
|
|
2.80 |
.4974 |
.0026 |
|
|
2.81 |
.4975 |
.0025 |
|
|
2.82 |
.4976 |
.0024 |
|
|
2.83 |
.4977 |
.0023 |
|
|
2.84 |
.4977 |
.0023 |
|
|
2.85 |
.4978 |
.0022 |
|
|
2.86 |
.4979 |
.0021 |
|
|
2.87 |
.4979 |
.0021 |
|
|
2.88 |
.4980 |
.0020 |
|
|
2.89 |
.4981 |
.0019 |
|
|
2.90 |
.4981 |
.0019 |
|
|
2.91 |
.4982 |
.0018 |
|
|
2.92 |
.4982 |
.0018 |
|
|
2.93 |
.4983 |
.0017 |
|
|
2.94 |
.4984 |
.0016 |
|
|
2.95 |
.4984 |
.0016 |
|
|
2.96 |
.4985 |
.0015 |
|
|
2.97 |
.4985 |
.0015 |
|
|
2.98 |
.4986 |
.0014 |
|
|
2.99 |
.4986 |
.0014 |
|
|
3.00 |
.4987 |
.0013 |
|
|
3.01 |
.4987 |
.0013 |
|
|
3.02 |
.4987 |
.0013 |
|
|
3.03 |
.4988 |
.0012 |
|
|
3.04 |
.4988 |
.0012 |
|
|
3.05 |
.4989 |
.0011 |
|
|
3.06 |
.4989 |
.0011 |
|
|
3.07 |
.4989 |
.0011 |
|
|
3.08 |
.4990 |
.0010 |
|
|
3.09 |
.4990 |
.0010 |
|
|
3.10 |
.4990 |
.0010 |
|
|
3.11 |
.4991 |
.0009 |
|
|
3.12 |
.4991 |
.0009 |
|
|
3.13 |
.4991 |
.0009 |
|
|
3.14 |
.4992 |
.0008 |
|
|
3.15 |
.4992 |
.0008 |
|
|
3.16 |
.4992 |
.0008 |
|
|
3.17 |
.4992 |
.0008 |
|
|
3.18 |
.4993 |
.0007 |
|
|
3.19 |
.4993 |
.0007 |
|
|
3.20 |
.4993 |
.0007 |
|
|
3.21 |
.4993 |
.0007 |
|
|
3.22 |
.4994 |
.0006 |
|
|
3.23 |
.4994 |
.0006 |
|
|
3.24 |
.4994 |
.0006 |
|
|
3.30 |
.4995 |
.0005 |
|
|
3.40 |
.4997 |
.0003 |
|
|
3.50 |
.4998 |
.0002 |
|
|
3.60 |
.4998 |
.0002 |
|
|
3.70 |
.4999 |
.0001 |
|
|
3.80 |
.49993 |
.00007 |
|
|
3.90 |
.49995 |
.00005 |
|
|
4.00 |
.49997 |
.00003 |
Percentiles (P table)
|
The Larger Area (1) .500 |
Z (2) 0.0000 |
The Smaller Area (3)
.500 |
|
.505 |
0.0125 |
.495 |
|
.510 |
0.0251 |
.490 |
|
.515 |
0.0376 |
.485 |
|
.520 |
0.0502 |
.480 |
|
.525 |
0.0627 |
.475 |
|
.530 |
0.0753 |
.470 |
|
.535 |
0.0878 |
.465 |
|
.540 |
0.1004 |
.460 |
|
.545 |
0.1130 |
.455 |
|
.550 |
0.1257 |
.450 |
|
.555 |
0.1383 |
.445 |
|
.560 |
0.1510 |
.440 |
|
.565 |
0.1637 |
.435 |
|
.570 |
0.1764 |
.430 |
|
.575 |
0.1891 |
.425 |
|
.580 |
0.2019 |
.420 |
|
.585 |
0.2147 |
.415 |
|
.590 |
0.2275 |
.410 |
|
.595 |
0.2404 |
.405 |
|
.600 |
0.2533 |
.400 |
|
.605 |
0.2663 |
.395 |
|
.610 |
0.2793 |
.390 |
| .615 |
0.2924 |
.385 |
|
.620 |
0.3055 |
.380 |
|
.625 |
0.3186 |
.375 |
|
.630 |
0.3319 |
.370 |
|
.635 |
0.3451 |
.365 |
|
.640 |
0.3585 |
.360 |
|
.645 |
0.3719 |
.355 |
|
.650 |
0.3853 |
.350 |
|
.655 |
0.3989 |
.345 |
|
.660 |
0.4125 |
.340 |
|
.665 |
0.4261 |
.335 |
|
.670 |
0.4399 |
.330 |
|
.675 |
0.4538 |
.325 |
|
.680 |
0.4677 |
.320 |
|
.685 |
0.4817 |
.315 |
|
.690 |
0.4959 |
.310 |
|
.695 |
0.5101 |
.305 |
|
.700 |
0.5244 |
.300 |
|
.705 |
0.5388 |
.295 |
|
.710 |
0.5534 |
.290 |
|
.715 |
0.5681 |
.285 |
|
.720 |
0.5828 |
.280 |
|
.725 |
0.5978 |
.275 |
|
.730 |
0.6128 |
.270 |
|
.735 |
0.6280 |
.265 |
|
.740 |
0.6433 |
.260 |
|
.745 |
0.6588 |
.255 |
|
.750 |
0.6745 |
.250 |
|
.755 |
0.6903 |
.245 |
|
.760 |
0.7063 |
.240 |
|
.765 |
0.7225 |
.235 |
|
.770 |
0.7388 |
.230 |
|
.775 |
0.7554 |
.225 |
|
.780 |
0.7722 |
.220 |
|
.785 |
0.7892 |
.215 |
|
.790 |
0.8064 |
.210 |
|
.795 |
0.8239 |
.205 |
|
.800 |
0.8416 |
.200 |
|
.805 |
0.8596 |
.195 |
|
.810 |
0.8779 |
.190 |
|
.815 |
0.8963 |
.185 |
|
.820 |
0.9154 |
.180 |
|
.825 |
0.9346 |
.175 |
|
.830 |
0.9542 |
.170 |
|
.835 |
0.9741 |
.165 |
|
.840 |
0.9945 |
.160 |
|
.845 |
1.0152 |
.155 |
|
.850 |
1.0364 |
.150 |
|
.855 |
1.0581 |
.145 |
|
.860 |
1.0803 |
.140 |
|
.865 |
1.1031 |
.135 |
|
.870 |
1.1264 |
.130 |
|
.875 |
1.1503 |
.125 |
|
.880 |
1.1750 |
.120 |
|
.885 |
1.2004 |
.115 |
|
.890 |
1.2265 |
.110 |
|
.895 |
1.2536 |
.105 |
|
.900 |
1.2816 |
.100 |
|
.905 |
1.3106 |
.095 |
|
.910 |
1.3408 |
.090 |
|
.915 |
1.3722 |
.085 |
|
.920 |
1.4051 |
.080 |
|
.925 |
1.4395 |
.075 |
|
.930 |
1.4757 |
.070 |
|
.935 |
1.5141 |
.065 |
|
.940 |
1.5548 |
.060 |
|
.945 |
1.5982 |
.055 |
|
.950 |
1.6449 |
.050 |
|
.955 |
1.6954 |
.045 |
|
.960 |
1.7507 |
.040 |
|
.965 |
1.8119 |
.035 |
|
.970 |
1.8808 |
.030 |
|
.975 |
1.9600 |
.025 |
|
.980 |
2.0537 |
.020 |
|
.985 |
2.1701 |
.015 |
|
.990 |
2.3263 |
.010 |
|
.995 |
2.5758 |
.005 |
|
.996 |
2.6521 |
.004 |
|
.997 |
2.7478 |
.003 |
|
.998 |
2.8782 |
.002 |
|
.999 |
3.0902 |
.001 |
|
.9995 |
3.2905 |
.0005 |