Statistical Tables | Standard Normal Distribution
Percentile Ranks (PR) and Two-Tailed Probabilities (p) for the Given Normal Deviates (z)
| z |
PR |
p |
|
z |
PR |
p |
|
z |
PR |
p |
|
z |
PR |
p |
| <-3.400 |
<.001 |
<.001 |
|
-2.560 |
.005 |
.010 |
|
-1.700 |
.045 |
.089 |
|
-0.840 |
.200 |
.401 |
| -3.400 |
<.001 |
.001 |
|
-2.540 |
.006 |
.011 |
|
-1.680 |
.046 |
.093 |
|
-0.820 |
.206 |
.412 |
| -3.380 |
<.001 |
.001 |
|
-2.520 |
.006 |
.012 |
|
-1.660 |
.048 |
.097 |
|
-0.800 |
.212 |
.424 |
| -3.360 |
<.001 |
.001 |
|
-2.500 |
.006 |
.012 |
|
-1.640 |
.051 |
.101 |
|
-0.780 |
.218 |
.435 |
| -3.340 |
<.001 |
.001 |
|
-2.480 |
.007 |
.013 |
|
-1.620 |
.053 |
.105 |
|
-0.760 |
.224 |
.447 |
| -3.320 |
<.001 |
.001 |
|
-2.460 |
.007 |
.014 |
|
-1.600 |
.055 |
.110 |
|
-0.740 |
.230 |
.459 |
| -3.300 |
<.001 |
.001 |
|
-2.440 |
.007 |
.015 |
|
-1.580 |
.057 |
.114 |
|
-0.720 |
.236 |
.472 |
| -3.280 |
.001 |
.001 |
|
-2.420 |
.008 |
.016 |
|
-1.560 |
.059 |
.119 |
|
-0.700 |
.242 |
.484 |
| -3.260 |
.001 |
.001 |
|
-2.400 |
.008 |
.016 |
|
-1.540 |
.062 |
.124 |
|
-0.680 |
.248 |
.497 |
| -3.240 |
.001 |
.001 |
|
-2.380 |
.009 |
.017 |
|
-1.520 |
.064 |
.129 |
|
-0.660 |
.255 |
.509 |
| -3.220 |
.001 |
.001 |
|
-2.360 |
.009 |
.018 |
|
-1.500 |
.067 |
.134 |
|
-0.640 |
.261 |
.522 |
| -3.200 |
.001 |
.001 |
|
-2.340 |
.010 |
.019 |
|
-1.480 |
.069 |
.139 |
|
-0.620 |
.268 |
.535 |
| -3.180 |
.001 |
.001 |
|
-2.320 |
.010 |
.020 |
|
-1.460 |
.072 |
.144 |
|
-0.600 |
.274 |
.549 |
| -3.160 |
.001 |
.002 |
|
-2.300 |
.011 |
.021 |
|
-1.440 |
.075 |
.150 |
|
-0.580 |
.281 |
.562 |
| -3.140 |
.001 |
.002 |
|
-2.280 |
.011 |
.023 |
|
-1.420 |
.078 |
.156 |
|
-0.560 |
.288 |
.575 |
| -3.120 |
.001 |
.002 |
|
-2.260 |
.012 |
.024 |
|
-1.400 |
.081 |
.162 |
|
-0.540 |
.295 |
.589 |
| -3.100 |
.001 |
.002 |
|
-2.240 |
.013 |
.025 |
|
-1.380 |
.084 |
.168 |
|
-0.520 |
.302 |
.603 |
| -3.080 |
.001 |
.002 |
|
-2.220 |
.013 |
.026 |
|
-1.360 |
.087 |
.174 |
|
-0.500 |
.309 |
.617 |
| -3.060 |
.001 |
.002 |
|
-2.200 |
.014 |
.028 |
|
-1.340 |
.090 |
.180 |
|
-0.480 |
.316 |
.631 |
| -3.040 |
.001 |
.002 |
|
-2.180 |
.015 |
.029 |
|
-1.320 |
.093 |
.187 |
|
-0.460 |
.323 |
.646 |
| -3.020 |
.001 |
.003 |
|
-2.160 |
.015 |
.031 |
|
-1.300 |
.097 |
.194 |
|
-0.440 |
.330 |
.660 |
| -3.000 |
.001 |
.003 |
|
-2.140 |
.016 |
.032 |
|
-1.280 |
.100 |
.201 |
|
-0.420 |
.337 |
.674 |
| -2.980 |
.001 |
.003 |
|
-2.120 |
.017 |
.034 |
|
-1.260 |
.104 |
.208 |
|
-0.400 |
.345 |
.689 |
| -2.960 |
.002 |
.003 |
|
-2.100 |
.018 |
.036 |
|
-1.240 |
.107 |
.215 |
|
-0.380 |
.352 |
.704 |
| -2.940 |
.002 |
.003 |
|
-2.080 |
.019 |
.038 |
|
-1.220 |
.111 |
.222 |
|
-0.360 |
.359 |
.719 |
| -2.920 |
.002 |
.004 |
|
-2.060 |
.020 |
.039 |
|
-1.200 |
.115 |
.230 |
|
-0.340 |
.367 |
.734 |
| -2.900 |
.002 |
.004 |
|
-2.040 |
.021 |
.041 |
|
-1.180 |
.119 |
.238 |
|
-0.320 |
.374 |
.749 |
| -2.880 |
.002 |
.004 |
|
-2.020 |
.022 |
.043 |
|
-1.160 |
.123 |
.246 |
|
-0.300 |
.382 |
.764 |
| -2.860 |
.002 |
.004 |
|
-2.000 |
.023 |
.046 |
|
-1.140 |
.127 |
.254 |
|
-0.280 |
.390 |
.779 |
| -2.840 |
.002 |
.005 |
|
-1.980 |
.024 |
.048 |
|
-1.120 |
.131 |
.263 |
|
-0.260 |
.397 |
.795 |
| -2.820 |
.002 |
.005 |
|
-1.960 |
.025 |
.050 |
|
-1.100 |
.136 |
.271 |
|
-0.240 |
.405 |
.810 |
| -2.800 |
.003 |
.005 |
|
-1.940 |
.026 |
.052 |
|
-1.080 |
.140 |
.280 |
|
-0.220 |
.413 |
.826 |
| -2.780 |
.003 |
.005 |
|
-1.920 |
.027 |
.055 |
|
-1.060 |
.145 |
.289 |
|
-0.200 |
.421 |
.841 |
| -2.760 |
.003 |
.006 |
|
-1.900 |
.029 |
.057 |
|
-1.040 |
.149 |
.298 |
|
-0.180 |
.429 |
.857 |
| -2.740 |
.003 |
.006 |
|
-1.880 |
.030 |
.060 |
|
-1.020 |
.154 |
.308 |
|
-0.160 |
.436 |
.873 |
| -2.720 |
.003 |
.007 |
|
-1.860 |
.031 |
.063 |
|
-1.000 |
.159 |
.317 |
|
-0.140 |
.444 |
.889 |
| -2.700 |
.003 |
.007 |
|
-1.840 |
.033 |
.066 |
|
-0.980 |
.164 |
.327 |
|
-0.120 |
.452 |
.904 |
| -2.680 |
.004 |
.007 |
|
-1.820 |
.034 |
.069 |
|
-0.960 |
.169 |
.337 |
|
-0.100 |
.460 |
.920 |
| -2.660 |
.004 |
.008 |
|
-1.800 |
.036 |
.072 |
|
-0.940 |
.174 |
.347 |
|
-0.080 |
.468 |
.936 |
| -2.640 |
.004 |
.008 |
|
-1.780 |
.038 |
.075 |
|
-0.920 |
.179 |
.358 |
|
-0.060 |
.476 |
.952 |
| -2.620 |
.004 |
.009 |
|
-1.760 |
.039 |
.078 |
|
-0.900 |
.184 |
.368 |
|
-0.040 |
.484 |
.968 |
| -2.600 |
.005 |
.009 |
|
-1.740 |
.041 |
.082 |
|
-0.880 |
.189 |
.379 |
|
-0.020 |
.492 |
.984 |
| -2.580 |
.005 |
.010 |
|
-1.720 |
.043 |
.085 |
|
-0.860 |
.195 |
.390 |
|
0.000 |
.500 |
1.000 |
Percentile Ranks (PR) and Two-Tailed Probabilities (p) for the Given Normal Deviates (z)
| z |
PR |
p |
|
z |
PR |
p |
|
z |
PR |
p |
|
z |
PR |
p |
| 0.000 |
.500 |
1.000 |
|
0.860 |
.805 |
.390 |
|
1.720 |
.957 |
.085 |
|
2.580 |
.995 |
.010 |
| 0.020 |
.508 |
.984 |
|
0.880 |
.811 |
.379 |
|
1.740 |
.959 |
.082 |
|
2.600 |
.995 |
.009 |
| 0.040 |
.516 |
.968 |
|
0.900 |
.816 |
.368 |
|
1.760 |
.961 |
.078 |
|
2.620 |
.996 |
.009 |
| 0.060 |
.524 |
.952 |
|
0.920 |
.821 |
.358 |
|
1.780 |
.962 |
.075 |
|
2.640 |
.996 |
.008 |
| 0.080 |
.532 |
.936 |
|
0.940 |
.826 |
.347 |
|
1.800 |
.964 |
.072 |
|
2.660 |
.996 |
.008 |
| 0.100 |
.540 |
.920 |
|
0.960 |
.831 |
.337 |
|
1.820 |
.966 |
.069 |
|
2.680 |
.996 |
.007 |
| 0.120 |
.548 |
.904 |
|
0.980 |
.836 |
.327 |
|
1.840 |
.967 |
.066 |
|
2.700 |
.997 |
.007 |
| 0.140 |
.556 |
.889 |
|
1.000 |
.841 |
.317 |
|
1.860 |
.969 |
.063 |
|
2.720 |
.997 |
.007 |
| 0.160 |
.564 |
.873 |
|
1.020 |
.846 |
.308 |
|
1.880 |
.970 |
.060 |
|
2.740 |
.997 |
.006 |
| 0.180 |
.571 |
.857 |
|
1.040 |
.851 |
.298 |
|
1.900 |
.971 |
.057 |
|
2.760 |
.997 |
.006 |
| 0.200 |
.579 |
.841 |
|
1.060 |
.855 |
.289 |
|
1.920 |
.973 |
.055 |
|
2.780 |
.997 |
.005 |
| 0.220 |
.587 |
.826 |
|
1.080 |
.860 |
.280 |
|
1.940 |
.974 |
.052 |
|
2.800 |
.997 |
.005 |
| 0.240 |
.595 |
.810 |
|
1.100 |
.864 |
.271 |
|
1.960 |
.975 |
.050 |
|
2.820 |
.998 |
.005 |
| 0.260 |
.603 |
.795 |
|
1.120 |
.869 |
.263 |
|
1.980 |
.976 |
.048 |
|
2.840 |
.998 |
.005 |
| 0.280 |
.610 |
.779 |
|
1.140 |
.873 |
.254 |
|
2.000 |
.977 |
.046 |
|
2.860 |
.998 |
.004 |
| 0.300 |
.618 |
.764 |
|
1.160 |
.877 |
.246 |
|
2.020 |
.978 |
.043 |
|
2.880 |
.998 |
.004 |
| 0.320 |
.626 |
.749 |
|
1.180 |
.881 |
.238 |
|
2.040 |
.979 |
.041 |
|
2.900 |
.998 |
.004 |
| 0.340 |
.633 |
.734 |
|
1.200 |
.885 |
.230 |
|
2.060 |
.980 |
.039 |
|
2.920 |
.998 |
.004 |
| 0.360 |
.641 |
.719 |
|
1.220 |
.889 |
.222 |
|
2.080 |
.981 |
.038 |
|
2.940 |
.998 |
.003 |
| 0.380 |
.648 |
.704 |
|
1.240 |
.893 |
.215 |
|
2.100 |
.982 |
.036 |
|
2.960 |
.998 |
.003 |
| 0.400 |
.655 |
.689 |
|
1.260 |
.896 |
.208 |
|
2.120 |
.983 |
.034 |
|
2.980 |
.999 |
.003 |
| 0.420 |
.663 |
.674 |
|
1.280 |
.900 |
.201 |
|
2.140 |
.984 |
.032 |
|
3.000 |
.999 |
.003 |
| 0.440 |
.670 |
.660 |
|
1.300 |
.903 |
.194 |
|
2.160 |
.985 |
.031 |
|
3.020 |
.999 |
.003 |
| 0.460 |
.677 |
.646 |
|
1.320 |
.907 |
.187 |
|
2.180 |
.985 |
.029 |
|
3.040 |
.999 |
.002 |
| 0.480 |
.684 |
.631 |
|
1.340 |
.910 |
.180 |
|
2.200 |
.986 |
.028 |
|
3.060 |
.999 |
.002 |
| 0.500 |
.691 |
.617 |
|
1.360 |
.913 |
.174 |
|
2.220 |
.987 |
.026 |
|
3.080 |
.999 |
.002 |
| 0.520 |
.698 |
.603 |
|
1.380 |
.916 |
.168 |
|
2.240 |
.987 |
.025 |
|
3.100 |
.999 |
.002 |
| 0.540 |
.705 |
.589 |
|
1.400 |
.919 |
.162 |
|
2.260 |
.988 |
.024 |
|
3.120 |
.999 |
.002 |
| 0.560 |
.712 |
.575 |
|
1.420 |
.922 |
.156 |
|
2.280 |
.989 |
.023 |
|
3.140 |
.999 |
.002 |
| 0.580 |
.719 |
.562 |
|
1.440 |
.925 |
.150 |
|
2.300 |
.989 |
.021 |
|
3.160 |
.999 |
.002 |
| 0.600 |
.726 |
.549 |
|
1.460 |
.928 |
.144 |
|
2.320 |
.990 |
.020 |
|
3.180 |
.999 |
.001 |
| 0.620 |
.732 |
.535 |
|
1.480 |
.931 |
.139 |
|
2.340 |
.990 |
.019 |
|
3.200 |
.999 |
.001 |
| 0.640 |
.739 |
.522 |
|
1.500 |
.933 |
.134 |
|
2.360 |
.991 |
.018 |
|
3.220 |
.999 |
.001 |
| 0.660 |
.745 |
.509 |
|
1.520 |
.936 |
.129 |
|
2.380 |
.991 |
.017 |
|
3.240 |
.999 |
.001 |
| 0.680 |
.752 |
.497 |
|
1.540 |
.938 |
.124 |
|
2.400 |
.992 |
.016 |
|
3.260 |
.999 |
.001 |
| 0.700 |
.758 |
.484 |
|
1.560 |
.941 |
.119 |
|
2.420 |
.992 |
.016 |
|
3.280 |
.999 |
.001 |
| 0.720 |
.764 |
.472 |
|
1.580 |
.943 |
.114 |
|
2.440 |
.993 |
.015 |
|
3.300 |
>.999 |
.001 |
| 0.740 |
.770 |
.459 |
|
1.600 |
.945 |
.110 |
|
2.460 |
.993 |
.014 |
|
3.320 |
>.999 |
.001 |
| 0.760 |
.776 |
.447 |
|
1.620 |
.947 |
.105 |
|
2.480 |
.993 |
.013 |
|
3.340 |
>.999 |
.001 |
| 0.780 |
.782 |
.435 |
|
1.640 |
.949 |
.101 |
|
2.500 |
.994 |
.012 |
|
3.360 |
>.999 |
.001 |
| 0.800 |
.788 |
.424 |
|
1.660 |
.952 |
.097 |
|
2.520 |
.994 |
.012 |
|
3.380 |
>.999 |
.001 |
| 0.820 |
.794 |
.412 |
|
1.680 |
.954 |
.093 |
|
2.540 |
.994 |
.011 |
|
3.400 |
>.999 |
.001 |
| 0.840 |
.800 |
.401 |
|
1.700 |
.955 |
.089 |
|
2.560 |
.995 |
.010 |
|
>3.400 |
>.999 |
<.001 |